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<a href="ElementHex8_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="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#ifndef GOOSEFEM_ELEMENTHEX8_H</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#define GOOSEFEM_ELEMENTHEX8_H</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include &quot;<a class="code" href="config_8h.html">config.h</a>&quot;</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="keyword">namespace </span><a class="code hl_namespace" href="namespaceGooseFEM.html">GooseFEM</a> {</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="keyword">namespace </span>Element {</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="foldopen" id="foldopen00021" data-start="{" data-end="}">
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"><a class="line" href="namespaceGooseFEM_1_1Element_1_1Hex8.html"> 21</a></span><span class="keyword">namespace </span>Hex8 {</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="foldopen" id="foldopen00026" data-start="{" data-end="}">
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html"> 26</a></span><span class="keyword">namespace </span>Gauss {</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="foldopen" id="foldopen00035" data-start="{" data-end="}">
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#a2a1d1413700064ccad9094a16925e680"> 35</a></span><span class="keyword">inline</span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#a2a1d1413700064ccad9094a16925e680">nip</a>()</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span>{</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> 8;</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>}</div>
</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="foldopen" id="foldopen00045" data-start="{" data-end="}">
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"><a class="line" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf"> 45</a></span><span class="keyword">inline</span> <a class="code hl_typedef" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor&lt;double, 2&gt;</a> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>()</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span>{</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#a2a1d1413700064ccad9094a16925e680">nip</a> = 8;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordtype">size_t</span> ndim = 3;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <a class="code hl_typedef" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor&lt;double, 2&gt;</a> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a> = xt::empty&lt;double&gt;({<a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#a2a1d1413700064ccad9094a16925e680">nip</a>, ndim});</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(0, 0) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(0, 1) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(0, 2) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(1, 0) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(1, 1) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(1, 2) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(2, 0) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(2, 1) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(2, 2) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(3, 0) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(3, 1) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(3, 2) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(4, 0) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(4, 1) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(4, 2) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> </div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(5, 0) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(5, 1) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(5, 2) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(6, 0) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(6, 1) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(6, 2) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(7, 0) = -1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(7, 1) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>(7, 2) = +1.0 / std::sqrt(3.0);</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">xi</a>;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span>}</div>
</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="foldopen" id="foldopen00092" data-start="{" data-end="}">
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"><a class="line" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a"> 92</a></span><span class="keyword">inline</span> <a class="code hl_typedef" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor&lt;double, 1&gt;</a> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a>()</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span>{</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#a2a1d1413700064ccad9094a16925e680">nip</a> = 8;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <a class="code hl_typedef" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor&lt;double, 1&gt;</a> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a> = xt::empty&lt;double&gt;({<a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#a2a1d1413700064ccad9094a16925e680">nip</a>});</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> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a>(0) = 1.0;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a>(1) = 1.0;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a>(2) = 1.0;</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a>(3) = 1.0;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a>(4) = 1.0;</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a>(5) = 1.0;</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a>(6) = 1.0;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a>(7) = 1.0;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">w</a>;</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span>}</div>
</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span>} <span class="comment">// namespace Gauss</span></div>
</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="foldopen" id="foldopen00116" data-start="{" data-end="}">
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"><a class="line" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html"> 116</a></span><span class="keyword">namespace </span>Nodal {</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="foldopen" id="foldopen00125" data-start="{" data-end="}">
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"><a class="line" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#add044684cb68cdad7456c6640da294e4"> 125</a></span><span class="keyword">inline</span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#add044684cb68cdad7456c6640da294e4">nip</a>()</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span>{</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">return</span> 8;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span>}</div>
</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="foldopen" id="foldopen00135" data-start="{" data-end="}">
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"><a class="line" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2"> 135</a></span><span class="keyword">inline</span> <a class="code hl_typedef" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor&lt;double, 2&gt;</a> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>()</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="keywordtype">size_t</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#add044684cb68cdad7456c6640da294e4">nip</a> = 8;</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keywordtype">size_t</span> ndim = 3;</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> <a class="code hl_typedef" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor&lt;double, 2&gt;</a> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a> = xt::empty&lt;double&gt;({<a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#add044684cb68cdad7456c6640da294e4">nip</a>, ndim});</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> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(0, 0) = -1.0;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(0, 1) = -1.0;</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(0, 2) = -1.0;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(1, 0) = +1.0;</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(1, 1) = -1.0;</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(1, 2) = -1.0;</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(2, 0) = +1.0;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(2, 1) = +1.0;</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(2, 2) = -1.0;</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(3, 0) = -1.0;</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(3, 1) = +1.0;</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(3, 2) = -1.0;</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> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(4, 0) = -1.0;</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(4, 1) = -1.0;</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(4, 2) = +1.0;</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> </div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(5, 0) = +1.0;</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(5, 1) = -1.0;</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(5, 2) = +1.0;</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> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(6, 0) = +1.0;</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(6, 1) = +1.0;</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(6, 2) = +1.0;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(7, 0) = -1.0;</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(7, 1) = +1.0;</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>(7, 2) = +1.0;</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">xi</a>;</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span>}</div>
</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> </div>
<div class="foldopen" id="foldopen00182" data-start="{" data-end="}">
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"><a class="line" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b"> 182</a></span><span class="keyword">inline</span> <a class="code hl_typedef" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor&lt;double, 1&gt;</a> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a>()</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span>{</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#add044684cb68cdad7456c6640da294e4">nip</a> = 8;</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> </div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <a class="code hl_typedef" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor&lt;double, 1&gt;</a> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a> = xt::empty&lt;double&gt;({<a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#add044684cb68cdad7456c6640da294e4">nip</a>});</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> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a>(0) = 1.0;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a>(1) = 1.0;</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a>(2) = 1.0;</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a>(3) = 1.0;</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a>(4) = 1.0;</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a>(5) = 1.0;</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a>(6) = 1.0;</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a>(7) = 1.0;</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> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">w</a>;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span>}</div>
</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> </div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span>} <span class="comment">// namespace Nodal</span></div>
</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="foldopen" id="foldopen00215" data-start="{" data-end="};">
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"><a class="line" href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html"> 215</a></span><span class="keyword">class </span><a class="code hl_class" href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html">Quadrature</a> : <span class="keyword">public</span> <a class="code hl_class" href="classGooseFEM_1_1Element_1_1QuadratureBaseCartesian.html">QuadratureBaseCartesian</a>&lt;Quadrature&gt; {</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span><span class="keyword">public</span>:</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <a class="code hl_class" href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html">Quadrature</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> </div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00234" data-start="{" data-end="}">
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"><a class="line" href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html#a7809a7c8b8ed2d4f98b00da20931275a"> 234</a></span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html#a7809a7c8b8ed2d4f98b00da20931275a">Quadrature</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>) : <a class="code hl_class" href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html">Quadrature</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>, Gauss::xi(), Gauss::w())</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> }</div>
</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> </div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</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="foldopen00255" data-start="{" data-end="}">
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"><a class="line" href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html#a64fdc0a7bd09dc10fa91b76e90a612f1"> 255</a></span> <a class="code hl_function" href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html#a64fdc0a7bd09dc10fa91b76e90a612f1">Quadrature</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)</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> {</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> m_x = <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">x</a>;</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> m_w = w;</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> m_xi = xi;</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> m_nip = w.size();</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> m_nelem = m_x.shape(0);</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> m_N = xt::empty&lt;double&gt;({m_nip, s_nne});</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> m_dNxi = xt::empty&lt;double&gt;({m_nip, s_nne, s_ndim});</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</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="l00266" name="l00266"></a><span class="lineno"> 266</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0) = 0.125 * (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)) * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1) = 0.125 * (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)) * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2) = 0.125 * (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)) * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 3) = 0.125 * (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)) * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 4) = 0.125 * (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)) * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 5) = 0.125 * (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)) * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 6) = 0.125 * (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)) * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> m_N(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 7) = 0.125 * (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)) * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> }</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> <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="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="comment">// - dN / dxi_0</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 0) = -0.125 * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1)) * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1, 0) = +0.125 * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1)) * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2, 0) = +0.125 * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1)) * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 3, 0) = -0.125 * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1)) * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 4, 0) = -0.125 * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1)) * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 5, 0) = +0.125 * (1.0 - xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1)) * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 6, 0) = +0.125 * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1)) * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 7, 0) = -0.125 * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1)) * (1.0 + xi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2));</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <span class="comment">// - dN / dxi_1</span></div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 1) = -0.125 * (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>, 2));</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1, 1) = -0.125 * (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>, 2));</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2, 1) = +0.125 * (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>, 2));</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 3, 1) = +0.125 * (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>, 2));</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 4, 1) = -0.125 * (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>, 2));</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 5, 1) = -0.125 * (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>, 2));</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 6, 1) = +0.125 * (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>, 2));</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 7, 1) = +0.125 * (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>, 2));</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="comment">// - dN / dxi_2</span></div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 0, 2) = -0.125 * (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="l00297" name="l00297"></a><span class="lineno"> 297</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 1, 2) = -0.125 * (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="l00298" name="l00298"></a><span class="lineno"> 298</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 2, 2) = -0.125 * (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="l00299" name="l00299"></a><span class="lineno"> 299</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 3, 2) = -0.125 * (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="l00300" name="l00300"></a><span class="lineno"> 300</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 4, 2) = +0.125 * (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="l00301" name="l00301"></a><span class="lineno"> 301</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 5, 2) = +0.125 * (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="l00302" name="l00302"></a><span class="lineno"> 302</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 6, 2) = +0.125 * (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="l00303" name="l00303"></a><span class="lineno"> 303</span> m_dNxi(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">q</a>, 7, 2) = +0.125 * (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="l00304" name="l00304"></a><span class="lineno"> 304</span> }</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</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="l00307" name="l00307"></a><span class="lineno"> 307</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="l00308" name="l00308"></a><span class="lineno"> 308</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="l00309" name="l00309"></a><span class="lineno"> 309</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="l00310" name="l00310"></a><span class="lineno"> 310</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="l00311" name="l00311"></a><span class="lineno"> 311</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="l00312" name="l00312"></a><span class="lineno"> 312</span> </div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> m_dNx = xt::empty&lt;double&gt;({m_nelem, m_nip, s_nne, s_ndim});</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</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="l00315" name="l00315"></a><span class="lineno"> 315</span> </div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> this-&gt;<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBaseCartesian.html#abca2ae97d6cb943b0d1b9732058d0cdb">compute_dN</a>();</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> }</div>
</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><span class="keyword">private</span>:</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="keyword">friend</span> <a class="code hl_class" href="classGooseFEM_1_1Element_1_1QuadratureBase.html">QuadratureBase&lt;Quadrature&gt;</a>;</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keyword">friend</span> <a class="code hl_class" href="classGooseFEM_1_1Element_1_1QuadratureBaseCartesian.html">QuadratureBaseCartesian&lt;Quadrature&gt;</a>;</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> </div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</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="l00324" name="l00324"></a><span class="lineno"> 324</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="l00325" name="l00325"></a><span class="lineno"> 325</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</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="l00327" name="l00327"></a><span class="lineno"> 327</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="l00328" name="l00328"></a><span class="lineno"> 328</span> </div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> elemmat.fill(0.0);</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> </div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span><span class="preprocessor">#pragma omp parallel for</span></div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</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="l00333" name="l00333"></a><span class="lineno"> 333</span> </div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</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="l00335" name="l00335"></a><span class="lineno"> 335</span> </div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</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="l00337" name="l00337"></a><span class="lineno"> 337</span> </div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</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="l00339" name="l00339"></a><span class="lineno"> 339</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="l00340" name="l00340"></a><span class="lineno"> 340</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="l00341" name="l00341"></a><span class="lineno"> 341</span> </div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="comment">// M(m * ndim + i, n * ndim + i) += N(m) * scalar * N(n) * dV</span></div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</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="l00344" name="l00344"></a><span class="lineno"> 344</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="l00345" name="l00345"></a><span class="lineno"> 345</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="l00346" name="l00346"></a><span class="lineno"> 346</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="l00347" name="l00347"></a><span class="lineno"> 347</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 + 2, <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">n</a> * s_ndim + 2) += <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="l00348" name="l00348"></a><span class="lineno"> 348</span> }</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> }</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> }</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> }</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> }</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> </div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</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="l00355" name="l00355"></a><span class="lineno"> 355</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="l00356" name="l00356"></a><span class="lineno"> 356</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</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="l00358" name="l00358"></a><span class="lineno"> 358</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="l00359" name="l00359"></a><span class="lineno"> 359</span> </div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> elemvec.fill(0.0);</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> </div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span><span class="preprocessor">#pragma omp parallel for</span></div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</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="l00364" name="l00364"></a><span class="lineno"> 364</span> </div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</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="l00366" name="l00366"></a><span class="lineno"> 366</span> </div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</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="l00368" name="l00368"></a><span class="lineno"> 368</span> </div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</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="l00370" name="l00370"></a><span class="lineno"> 370</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_ndim, s_ndim&gt;());</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> <span class="keyword">auto</span>&amp; <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">v</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="l00372" name="l00372"></a><span class="lineno"> 372</span> </div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</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="l00374" name="l00374"></a><span class="lineno"> 374</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) +=</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</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">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">dNx</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 2) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">sig</a>(2, 0)) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">v</a>;</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</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) +=</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</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">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">dNx</a>(<a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">m</a>, 2) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">sig</a>(2, 1)) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">v</a>;</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</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>, 2) +=</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</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">sig</a>(0, 2) + <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, 2) + <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>, 2) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">sig</a>(2, 2)) * <a class="code hl_function" href="classGooseFEM_1_1Element_1_1QuadratureBase.html#aa95fbcd9f4e414be9ebb10b8a76fb114">v</a>;</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> }</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> }</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> }</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> }</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> </div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <span class="keyword">constexpr</span> <span class="keyword">static</span> <span class="keywordtype">size_t</span> s_nne = 8; </div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <span class="keyword">constexpr</span> <span class="keyword">static</span> <span class="keywordtype">size_t</span> s_ndim = 3; </div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</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="l00388" name="l00388"></a><span class="lineno"> 388</span> <span class="keywordtype">size_t</span> m_tdim = 3; </div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <span class="keywordtype">size_t</span> m_nelem; </div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <span class="keywordtype">size_t</span> m_nip; </div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> array_type::tensor&lt;double, 3&gt; m_x; </div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> array_type::tensor&lt;double, 1&gt; m_w; </div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> array_type::tensor&lt;double, 2&gt; m_xi; </div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> array_type::tensor&lt;double, 2&gt; m_N; </div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> array_type::tensor&lt;double, 3&gt; m_dNxi; </div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> array_type::tensor&lt;double, 4&gt; m_dNx; </div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> array_type::tensor&lt;double, 2&gt; m_vol; </div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span>};</div>
</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> </div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span>} <span class="comment">// namespace Hex8</span></div>
</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span>} <span class="comment">// namespace Element</span></div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span>} <span class="comment">// namespace GooseFEM</span></div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> </div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span><span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1Hex8_1_1Quadrature_html"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html">GooseFEM::Element::Hex8::Quadrature</a></div><div class="ttdoc">Interpolation and quadrature.</div><div class="ttdef"><b>Definition</b> <a href="#l00215">ElementHex8.h:215</a></div></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1Hex8_1_1Quadrature_html_a64fdc0a7bd09dc10fa91b76e90a612f1"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html#a64fdc0a7bd09dc10fa91b76e90a612f1">GooseFEM::Element::Hex8::Quadrature::Quadrature</a></div><div class="ttdeci">Quadrature(const T &amp;x, const X &amp;xi, const W &amp;w)</div><div class="ttdoc">Constructor with custom integration.</div><div class="ttdef"><b>Definition</b> <a href="#l00255">ElementHex8.h:255</a></div></div>
<div class="ttc" id="aclassGooseFEM_1_1Element_1_1Hex8_1_1Quadrature_html_a7809a7c8b8ed2d4f98b00da20931275a"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1Hex8_1_1Quadrature.html#a7809a7c8b8ed2d4f98b00da20931275a">GooseFEM::Element::Hex8::Quadrature::Quadrature</a></div><div class="ttdeci">Quadrature(const T &amp;x)</div><div class="ttdoc">Constructor: use default Gauss integration.</div><div class="ttdef"><b>Definition</b> <a href="#l00234">ElementHex8.h:234</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_1QuadratureBaseCartesian_html_abca2ae97d6cb943b0d1b9732058d0cdb"><div class="ttname"><a href="classGooseFEM_1_1Element_1_1QuadratureBaseCartesian.html#abca2ae97d6cb943b0d1b9732058d0cdb">GooseFEM::Element::QuadratureBaseCartesian&lt; Quadrature &gt;::compute_dN</a></div><div class="ttdeci">void compute_dN()</div><div class="ttdoc">Update the shape function gradients (called when the nodal positions are updated).</div><div class="ttdef"><b>Definition</b> <a href="Element_8h_source.html#l00874">Element.h:874</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="anamespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss_html_a2a1d1413700064ccad9094a16925e680"><div class="ttname"><a href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#a2a1d1413700064ccad9094a16925e680">GooseFEM::Element::Hex8::Gauss::nip</a></div><div class="ttdeci">size_t nip()</div><div class="ttdoc">Number of integration points:</div><div class="ttdef"><b>Definition</b> <a href="#l00035">ElementHex8.h:35</a></div></div>
<div class="ttc" id="anamespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss_html_aad7fdede9344289768f866364a75f4bf"><div class="ttname"><a href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#aad7fdede9344289768f866364a75f4bf">GooseFEM::Element::Hex8::Gauss::xi</a></div><div class="ttdeci">array_type::tensor&lt; double, 2 &gt; xi()</div><div class="ttdoc">Integration point coordinates (local coordinates).</div><div class="ttdef"><b>Definition</b> <a href="#l00045">ElementHex8.h:45</a></div></div>
<div class="ttc" id="anamespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss_html_ad3da1327ddcc1a95163f55e4e33e9f3a"><div class="ttname"><a href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Gauss.html#ad3da1327ddcc1a95163f55e4e33e9f3a">GooseFEM::Element::Hex8::Gauss::w</a></div><div class="ttdeci">array_type::tensor&lt; double, 1 &gt; w()</div><div class="ttdoc">Integration point weights.</div><div class="ttdef"><b>Definition</b> <a href="#l00092">ElementHex8.h:92</a></div></div>
<div class="ttc" id="anamespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal_html_a8509391c079bf1727c5041faa4f0f3f2"><div class="ttname"><a href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#a8509391c079bf1727c5041faa4f0f3f2">GooseFEM::Element::Hex8::Nodal::xi</a></div><div class="ttdeci">array_type::tensor&lt; double, 2 &gt; xi()</div><div class="ttdoc">Integration point coordinates (local coordinates).</div><div class="ttdef"><b>Definition</b> <a href="#l00135">ElementHex8.h:135</a></div></div>
<div class="ttc" id="anamespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal_html_aba6e5e61454c7a36b503d871c8d4c33b"><div class="ttname"><a href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#aba6e5e61454c7a36b503d871c8d4c33b">GooseFEM::Element::Hex8::Nodal::w</a></div><div class="ttdeci">array_type::tensor&lt; double, 1 &gt; w()</div><div class="ttdoc">Integration point weights.</div><div class="ttdef"><b>Definition</b> <a href="#l00182">ElementHex8.h:182</a></div></div>
<div class="ttc" id="anamespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal_html_add044684cb68cdad7456c6640da294e4"><div class="ttname"><a href="namespaceGooseFEM_1_1Element_1_1Hex8_1_1Nodal.html#add044684cb68cdad7456c6640da294e4">GooseFEM::Element::Hex8::Nodal::nip</a></div><div class="ttdeci">size_t nip()</div><div class="ttdoc">Number of integration points:</div><div class="ttdef"><b>Definition</b> <a href="#l00125">ElementHex8.h:125</a></div></div>
<div class="ttc" id="anamespaceGooseFEM_1_1array__type_html_adad35bf4db4c7eb54c25136f0f3d34d1"><div class="ttname"><a href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">GooseFEM::array_type::tensor</a></div><div class="ttdeci">xt::xtensor&lt; T, N &gt; tensor</div><div class="ttdoc">Fixed (static) rank array.</div><div class="ttdef"><b>Definition</b> <a href="config_8h_source.html#l00177">config.h:177</a></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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