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<div class="headertitle"><div class="title">ElementQuad4Planar.h</div></div>
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<a href="ElementQuad4Planar_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#ifndef GOOSEFEM_ELEMENTQUAD4PLANAR_H</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#define GOOSEFEM_ELEMENTQUAD4PLANAR_H</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &quot;<a class="code" href="config_8h.html">config.h</a>&quot;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &quot;<a class="code" href="detail_8h.html">detail.h</a>&quot;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceGooseFEM.html">GooseFEM</a> {</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="keyword">namespace </span>Element {</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="keyword">namespace </span><a class="code hl_enumvalue" href="namespaceGooseFEM_1_1Mesh.html#a918a5ff8cbf95019827c82877b714e33a7e543de6ba602d09b9bd5cb5e1eee77c">Quad4</a> {</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="foldopen" id="foldopen00038" data-start="{" data-end="};">
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html"> 38</a></span><span class="keyword">class </span><a class="code hl_class" href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html">QuadraturePlanar</a> : <span class="keyword">public</span> <a class="code hl_class" href="classGooseFEM_1_1Element_1_1QuadratureBaseCartesian.html">QuadratureBaseCartesian</a>&lt;QuadraturePlanar&gt; {</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="keyword">public</span>:</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <a class="code hl_class" href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html">QuadraturePlanar</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00058" data-start="{" data-end="}">
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html#a781fc6404ac098aee2179dc7abb1617c"> 58</a></span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html#a781fc6404ac098aee2179dc7abb1617c">QuadraturePlanar</a>(<span class="keyword">const</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">T</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>, <span class="keywordtype">double</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">thick</a> = 1.0)</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> : <a class="code hl_class" href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html">QuadraturePlanar</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>, Gauss::xi(), Gauss::w(), <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">thick</a>)</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> {</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T, <span class="keyword">class</span> X, <span class="keyword">class</span> W&gt;</div>
<div class="foldopen" id="foldopen00081" data-start="{" data-end="}">
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html#a38caef07e37f971ff08276c2a06b6118"> 81</a></span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html#a38caef07e37f971ff08276c2a06b6118">QuadraturePlanar</a>(<span class="keyword">const</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">T</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>, <span class="keyword">const</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">X</a>&amp; xi, <span class="keyword">const</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">W</a>&amp; w, <span class="keywordtype">double</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">thick</a> = 1.0)</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> {</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> m_x = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> m_w = w;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> m_xi = xi;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> m_nip = w.size();</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> m_nelem = m_x.shape(0);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> m_N = xt::empty&lt;double&gt;({m_nip, s_nne});</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> m_dNxi = xt::empty&lt;double&gt;({m_nip, s_nne, s_ndim});</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> m_thick = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">thick</a>;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> &lt; m_nip; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>) {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0) = 0.25 * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0)) * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1));</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1) = 0.25 * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0)) * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1));</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2) = 0.25 * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0)) * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1));</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 3) = 0.25 * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0)) * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1));</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> }</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> &lt; m_nip; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>) {</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// - dN / dxi_0</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0) = -0.25 * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1));</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1, 0) = +0.25 * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1));</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2, 0) = +0.25 * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1));</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 3, 0) = -0.25 * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1));</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// - dN / dxi_1</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 1) = -0.25 * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0));</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1, 1) = -0.25 * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0));</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2, 1) = +0.25 * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0));</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 3, 1) = +0.25 * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0));</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> }</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(m_x.shape(1) == s_nne);</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(m_x.shape(2) == s_ndim);</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(m_xi, {m_nip, s_ndim}));</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(m_w, {m_nip}));</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(m_N, {m_nip, s_nne}));</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(m_dNxi, {m_nip, s_nne, s_ndim}));</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> m_dNx = xt::empty&lt;double&gt;({m_nelem, m_nip, s_nne, s_ndim});</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> m_vol = xt::empty&lt;double&gt;(this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#a0a8466aa11abb81774f293081a2b2a52">shape_qscalar</a>());</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> this-&gt;compute_dN_impl();</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span><span class="keyword">private</span>:</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keyword">friend</span> <a class="code hl_class" href="classGooseFEM_1_1Element_1_1QuadratureBase.html">QuadratureBase&lt;QuadraturePlanar&gt;</a>;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keyword">friend</span> <a class="code hl_class" href="classGooseFEM_1_1Element_1_1QuadratureBaseCartesian.html">QuadratureBaseCartesian&lt;QuadraturePlanar&gt;</a>;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keywordtype">void</span> gradN_vector_impl(<span class="keyword">const</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">T</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">R</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>)<span class="keyword"> const</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>, this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#a80006f899e25aebf5f1dbd341645583d">shape_elemvec</a>()));</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>, this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">shape_qtensor&lt;2&gt;</a>()));</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> qtensor.fill(0.0);</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span><span class="preprocessor">#pragma omp parallel for</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> &lt; m_nelem; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>) {</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a> = xt::adapt(&amp;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> &lt; m_nip; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>) {</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a> = xt::adapt(&amp;m_dNx(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">gradu</a> = xt::adapt(&amp;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0), xt::xshape&lt;s_tdim, s_tdim&gt;());</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="comment">// gradu(i,j) += dNx(m,i) * u(m,j)</span></div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">gradu</a>(0, 0) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 0) +</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 0);</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">gradu</a>(0, 1) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 1) +</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 1);</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">gradu</a>(1, 0) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 0) +</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 0);</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">gradu</a>(1, 1) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 1) +</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 1);</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> }</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> }</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> }</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keywordtype">void</span> gradN_vector_T_impl(<span class="keyword">const</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">T</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">R</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>)<span class="keyword"> const</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>, this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#a80006f899e25aebf5f1dbd341645583d">shape_elemvec</a>()));</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>, this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">shape_qtensor&lt;2&gt;</a>()));</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> qtensor.fill(0.0);</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span><span class="preprocessor">#pragma omp parallel for</span></div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> &lt; m_nelem; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>) {</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a> = xt::adapt(&amp;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> </div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> &lt; m_nip; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>) {</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a> = xt::adapt(&amp;m_dNx(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">gradu</a> = xt::adapt(&amp;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0), xt::xshape&lt;s_tdim, s_tdim&gt;());</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="comment">// gradu(j,i) += dNx(m,i) * u(m,j)</span></div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">gradu</a>(0, 0) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 0) +</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 0);</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">gradu</a>(1, 0) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 1) +</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 1);</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">gradu</a>(0, 1) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 0) +</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 0);</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">gradu</a>(1, 1) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 1) +</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 1);</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> }</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> }</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> }</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keywordtype">void</span> symGradN_vector_impl(<span class="keyword">const</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">T</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">R</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>)<span class="keyword"> const</span></div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>, this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#a80006f899e25aebf5f1dbd341645583d">shape_elemvec</a>()));</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>, this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">shape_qtensor&lt;2&gt;</a>()));</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> </div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> qtensor.fill(0.0);</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span><span class="preprocessor">#pragma omp parallel for</span></div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> &lt; m_nelem; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>) {</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a> = xt::adapt(&amp;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> &lt; m_nip; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>) {</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> </div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a> = xt::adapt(&amp;m_dNx(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">eps</a> = xt::adapt(&amp;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0), xt::xshape&lt;s_tdim, s_tdim&gt;());</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="comment">// gradu(i,j) += dNx(m,i) * u(m,j)</span></div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="comment">// eps(j,i) = 0.5 * (gradu(i,j) + gradu(j,i))</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">eps</a>(0, 0) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 0) +</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 0);</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">eps</a>(1, 1) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 1) +</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 1);</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">eps</a>(0, 1) = 0.5 * (<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 1) +</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(0, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(0, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(1, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(1, 0) +</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(2, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(2, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(3, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">u</a>(3, 0));</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">eps</a>(1, 0) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">eps</a>(0, 1);</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> }</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> }</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> }</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordtype">void</span> int_N_scalar_NT_dV_impl(<span class="keyword">const</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">T</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qscalar</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">R</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemmat</a>)<span class="keyword"> const</span></div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qscalar</a>, this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#a0a8466aa11abb81774f293081a2b2a52">shape_qscalar</a>()));</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemmat</a>, this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#a55379d38c9126822f831e76a9a4ab546">shape_elemmat</a>()));</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> elemmat.fill(0.0);</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> </div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span><span class="preprocessor">#pragma omp parallel for</span></div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> &lt; m_nelem; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>) {</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> </div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">M</a> = xt::adapt(&amp;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemmat</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, 0, 0), xt::xshape&lt;s_nne * s_ndim, s_nne * s_ndim&gt;());</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> &lt; m_nip; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>) {</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> </div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">N</a> = xt::adapt(&amp;m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0), xt::xshape&lt;s_nne&gt;());</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keyword">auto</span>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">vol</a> = m_vol(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>);</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="keyword">auto</span>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">rho</a> = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qscalar</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>);</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// M(m*ndim+i,n*ndim+i) += N(m) * scalar * N(n) * dV</span></div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a> &lt; s_nne; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>) {</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">n</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">n</a> &lt; s_nne; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">n</a>) {</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">M</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a> * s_ndim + 0, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">n</a> * s_ndim + 0) += <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">N</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">rho</a> * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">N</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">n</a>) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">vol</a>;</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">M</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a> * s_ndim + 1, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">n</a> * s_ndim + 1) += <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">N</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">rho</a> * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">N</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">n</a>) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">vol</a>;</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> }</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> }</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> }</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> }</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> }</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> </div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T, <span class="keyword">class</span> R&gt;</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="keywordtype">void</span> int_gradN_dot_tensor2_dV_impl(<span class="keyword">const</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">T</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">R</a>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>)<span class="keyword"> const</span></div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>, this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">shape_qtensor&lt;2&gt;</a>()));</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <a class="code hl_define" href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a>(xt::has_shape(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>, this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#a80006f899e25aebf5f1dbd341645583d">shape_elemvec</a>()));</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> </div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> elemvec.fill(0.0);</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> </div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span><span class="preprocessor">#pragma omp parallel for</span></div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> &lt; m_nelem; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>) {</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> </div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">f</a> = xt::adapt(&amp;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">elemvec</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> </div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> &lt; m_nip; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>) {</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> </div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a> = xt::adapt(&amp;m_dNx(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">sig</a> = xt::adapt(&amp;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">qtensor</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0), xt::xshape&lt;s_tdim, s_tdim&gt;());</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keyword">auto</span>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">vol</a> = m_vol(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>);</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> </div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a> &lt; s_nne; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>) {</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">f</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 0) += (<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">sig</a>(0, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">sig</a>(1, 0)) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">vol</a>;</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">f</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 1) += (<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">sig</a>(0, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">sig</a>(1, 1)) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">vol</a>;</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> }</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> }</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> }</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> }</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> </div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="keywordtype">void</span> compute_dN_impl()</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> {</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span><span class="preprocessor">#pragma omp parallel</span></div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> {</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> array_type::tensor&lt;double, 2&gt; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">J</a> = xt::empty&lt;double&gt;({2, 2});</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> array_type::tensor&lt;double, 2&gt; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">Jinv</a> = xt::empty&lt;double&gt;({2, 2});</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> </div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span><span class="preprocessor">#pragma omp for</span></div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a> &lt; m_nelem; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>) {</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> </div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a> = xt::adapt(&amp;m_x(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> </div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a> &lt; m_nip; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>) {</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> </div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a> = xt::adapt(&amp;m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="keyword">auto</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a> = xt::adapt(&amp;m_dNx(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0), xt::xshape&lt;s_nne, s_ndim&gt;());</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> </div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="comment">// J(i,j) += dNxi(m,i) * x(m,j);</span></div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">J</a>(0, 0) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(0, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(0, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(1, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(1, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(2, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(2, 0) +</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(3, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(3, 0);</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">J</a>(0, 1) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(0, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(0, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(1, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(1, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(2, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(2, 1) +</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(3, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(3, 1);</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">J</a>(1, 0) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(0, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(0, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(1, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(1, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(2, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(2, 0) +</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(3, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(3, 0);</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">J</a>(1, 1) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(0, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(0, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(1, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(1, 1) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(2, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(2, 1) +</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(3, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>(3, 1);</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> </div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <span class="keywordtype">double</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">Jdet</a> = detail::tensor&lt;2&gt;::inv(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">J</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">Jinv</a>);</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> </div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <span class="comment">// dNx(m,i) += Jinv(i,j) * dNxi(m,j);</span></div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a> = 0; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a> &lt; s_nne; ++<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>) {</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 0) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">Jinv</a>(0, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">Jinv</a>(0, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 1);</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNx</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 1) = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">Jinv</a>(1, 0) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 0) + <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">Jinv</a>(1, 1) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">dNxi</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 1);</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> }</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> </div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> m_vol(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">e</a>, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>) = m_w(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">Jdet</a> * m_thick;</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> }</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> }</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> }</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> }</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> </div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keyword">constexpr</span> <span class="keyword">static</span> <span class="keywordtype">size_t</span> s_nne = 4; </div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="keyword">constexpr</span> <span class="keyword">static</span> <span class="keywordtype">size_t</span> s_ndim = 2; </div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <span class="keyword">constexpr</span> <span class="keyword">static</span> <span class="keywordtype">size_t</span> s_tdim = 3; </div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keywordtype">size_t</span> m_tdim = 3; </div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="keywordtype">size_t</span> m_nelem; </div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keywordtype">size_t</span> m_nip; </div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> array_type::tensor&lt;double, 3&gt; m_x; </div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> array_type::tensor&lt;double, 1&gt; m_w; </div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> array_type::tensor&lt;double, 2&gt; m_xi; </div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> array_type::tensor&lt;double, 2&gt; m_N; </div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> array_type::tensor&lt;double, 3&gt; m_dNxi; </div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> array_type::tensor&lt;double, 4&gt; m_dNx; </div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> array_type::tensor&lt;double, 2&gt; m_vol; </div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <span class="keywordtype">double</span> m_thick; </div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span>};</div>
</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span>} <span class="comment">// namespace Quad4</span></div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span>} <span class="comment">// namespace Element</span></div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span>} <span class="comment">// namespace GooseFEM</span></div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> </div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span><span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar_html"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html">GooseFEM::Element::Quad4::QuadraturePlanar</a></div><div class="ttdoc">Interpolation and quadrature.</div><div class="ttdef"><b>Definition</b> <a href="#l00038">ElementQuad4Planar.h:38</a></div></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar_html_a38caef07e37f971ff08276c2a06b6118"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html#a38caef07e37f971ff08276c2a06b6118">GooseFEM::Element::Quad4::QuadraturePlanar::QuadraturePlanar</a></div><div class="ttdeci">QuadraturePlanar(const T &amp;x, const X &amp;xi, const W &amp;w, double thick=1.0)</div><div class="ttdoc">Constructor with custom integration.</div><div class="ttdef"><b>Definition</b> <a href="#l00081">ElementQuad4Planar.h:81</a></div></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar_html_a781fc6404ac098aee2179dc7abb1617c"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1Quad4_1_1QuadraturePlanar.html#a781fc6404ac098aee2179dc7abb1617c">GooseFEM::Element::Quad4::QuadraturePlanar::QuadraturePlanar</a></div><div class="ttdeci">QuadraturePlanar(const T &amp;x, double thick=1.0)</div><div class="ttdoc">Constructor: use default Gauss integration.</div><div class="ttdef"><b>Definition</b> <a href="#l00058">ElementQuad4Planar.h:58</a></div></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1QuadratureBaseCartesian_html"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1QuadratureBaseCartesian.html">GooseFEM::Element::QuadratureBaseCartesian</a></div><div class="ttdoc">CRTP base class for interpolation and quadrature for a generic element in Cartesian coordinates.</div><div class="ttdef"><b>Definition</b> <a href="Element_8h_source.html#l00546">Element.h:546</a></div></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1QuadratureBase_html"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1QuadratureBase.html">GooseFEM::Element::QuadratureBase</a></div><div class="ttdoc">CRTP base class for quadrature.</div><div class="ttdef"><b>Definition</b> <a href="Element_8h_source.html#l00151">Element.h:151</a></div></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1QuadratureBase_html_a0a8466aa11abb81774f293081a2b2a52"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1QuadratureBase.html#a0a8466aa11abb81774f293081a2b2a52">GooseFEM::Element::QuadratureBase::shape_qscalar</a></div><div class="ttdeci">auto shape_qscalar() const -&gt; std::array&lt; size_t, 2 &gt;</div><div class="ttdoc">Get the shape of a &quot;qscalar&quot; (a &quot;qtensor&quot; of rank 0)</div><div class="ttdef"><b>Definition</b> <a href="Element_8h_source.html#l00354">Element.h:354</a></div></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1QuadratureBase_html_a55379d38c9126822f831e76a9a4ab546"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1QuadratureBase.html#a55379d38c9126822f831e76a9a4ab546">GooseFEM::Element::QuadratureBase::shape_elemmat</a></div><div class="ttdeci">auto shape_elemmat() const -&gt; std::array&lt; size_t, 3 &gt;</div><div class="ttdoc">Get the shape of an &quot;elemmat&quot;.</div><div class="ttdef"><b>Definition</b> <a href="Element_8h_source.html#l00273">Element.h:273</a></div></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1QuadratureBase_html_a80006f899e25aebf5f1dbd341645583d"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1QuadratureBase.html#a80006f899e25aebf5f1dbd341645583d">GooseFEM::Element::QuadratureBase::shape_elemvec</a></div><div class="ttdeci">auto shape_elemvec() const -&gt; std::array&lt; size_t, 3 &gt;</div><div class="ttdoc">Get the shape of an &quot;elemvec&quot;.</div><div class="ttdef"><b>Definition</b> <a href="Element_8h_source.html#l00252">Element.h:252</a></div></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1QuadratureBase_html_aa95fbcd9f4e414be9ebb10b8a76fb114"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">GooseFEM::Element::QuadratureBase::AsTensor</a></div><div class="ttdeci">auto AsTensor(const T &amp;arg) const</div><div class="ttdoc">Convert &quot;qscalar&quot; to &quot;qtensor&quot; of certain rank.</div><div class="ttdef"><b>Definition</b> <a href="Element_8h_source.html#l00229">Element.h:229</a></div></div>
<div class="ttc" id="aconfig_8h_html"><div class="ttname"><a href="config_8h.html">config.h</a></div><div class="ttdoc">Basic configuration:</div></div>
<div class="ttc" id="aconfig_8h_html_a391cf2265f217c503ef4c35e6422b409"><div class="ttname"><a href="config_8h.html#a391cf2265f217c503ef4c35e6422b409">GOOSEFEM_ASSERT</a></div><div class="ttdeci">#define GOOSEFEM_ASSERT(expr)</div><div class="ttdoc">All assertions are implementation as::</div><div class="ttdef"><b>Definition</b> <a href="config_8h_source.html#l00097">config.h:97</a></div></div>
<div class="ttc" id="adetail_8h_html"><div class="ttname"><a href="detail_8h.html">detail.h</a></div></div>
<div class="ttc" id="anamespaceGooseFEM_1_1Mesh_html_a918a5ff8cbf95019827c82877b714e33a7e543de6ba602d09b9bd5cb5e1eee77c"><div class="ttname"><a href="namespaceGooseFEM_1_1Mesh.html#a918a5ff8cbf95019827c82877b714e33a7e543de6ba602d09b9bd5cb5e1eee77c">GooseFEM::Mesh::ElementType::Quad4</a></div><div class="ttdeci">@ Quad4</div><div class="ttdoc">Quadrilateral: 4-noded element in 2-d.</div></div>
<div class="ttc" id="anamespaceGooseFEM_html"><div class="ttname"><a href="namespaceGooseFEM.html">GooseFEM</a></div><div class="ttdoc">Toolbox to perform finite element computations.</div><div class="ttdef"><b>Definition</b> <a href="Allocate_8h_source.html#l00014">Allocate.h:14</a></div></div>
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