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<a href="#namespaces">Namespaces</a> &#124;
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<div class="headertitle"><div class="title">GooseFEM::Mesh Namespace Reference</div></div>
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<p>Generic mesh operations, and simple mesh definitions.
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:namespaceGooseFEM_1_1Mesh_1_1Hex8" id="r_namespaceGooseFEM_1_1Mesh_1_1Hex8"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceGooseFEM_1_1Mesh_1_1Hex8.html">Hex8</a></td></tr>
<tr class="memdesc:namespaceGooseFEM_1_1Mesh_1_1Hex8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Simple meshes of 8-noded hexahedral elements in 3d (<a class="el" href="#a918a5ff8cbf95019827c82877b714e33af386881f58c90062b2624e9377036e02" title="Hexahedron: 8-noded element in 3-d.">ElementType::Hex8</a>). <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:namespaceGooseFEM_1_1Mesh_1_1Quad4" id="r_namespaceGooseFEM_1_1Mesh_1_1Quad4"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceGooseFEM_1_1Mesh_1_1Quad4.html">Quad4</a></td></tr>
<tr class="memdesc:namespaceGooseFEM_1_1Mesh_1_1Quad4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Simple meshes of 4-noded quadrilateral elements in 2d (<a class="el" href="#a918a5ff8cbf95019827c82877b714e33a7e543de6ba602d09b9bd5cb5e1eee77c" title="Quadrilateral: 4-noded element in 2-d.">ElementType::Quad4</a>). <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:namespaceGooseFEM_1_1Mesh_1_1Tri3" id="r_namespaceGooseFEM_1_1Mesh_1_1Tri3"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceGooseFEM_1_1Mesh_1_1Tri3.html">Tri3</a></td></tr>
<tr class="memdesc:namespaceGooseFEM_1_1Mesh_1_1Tri3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Simple meshes of and mesh operations for triangular elements of type <a class="el" href="#a918a5ff8cbf95019827c82877b714e33a9623fe6fd6981ce17add24f854d83dd9" title="Triangle: 3-noded element in 2-d.">ElementType::Tri3</a>. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classGooseFEM_1_1Mesh_1_1ManualStitch.html">ManualStitch</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classGooseFEM_1_1Mesh_1_1Stitch.html" title="Stitch mesh objects, automatically searching for overlapping nodes.">Stitch</a> two mesh objects, specifying overlapping nodes by hand. <a href="classGooseFEM_1_1Mesh_1_1ManualStitch.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classGooseFEM_1_1Mesh_1_1RegularBase.html">RegularBase</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">CRTP base class for regular meshes. <a href="classGooseFEM_1_1Mesh_1_1RegularBase.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classGooseFEM_1_1Mesh_1_1RegularBase2d.html">RegularBase2d</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">CRTP base class for regular meshes in 2d. <a href="classGooseFEM_1_1Mesh_1_1RegularBase2d.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classGooseFEM_1_1Mesh_1_1RegularBase3d.html">RegularBase3d</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">CRTP base class for regular meshes in 3d. <a href="classGooseFEM_1_1Mesh_1_1RegularBase3d.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classGooseFEM_1_1Mesh_1_1Renumber.html">Renumber</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classGooseFEM_1_1Mesh_1_1Renumber.html" title="Renumber indices to lowest possible index.">Renumber</a> indices to lowest possible index. <a href="classGooseFEM_1_1Mesh_1_1Renumber.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classGooseFEM_1_1Mesh_1_1Reorder.html">Reorder</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classGooseFEM_1_1Mesh_1_1Reorder.html" title="Reorder to lowest possible index, in specific order.">Reorder</a> to lowest possible index, in specific order. <a href="classGooseFEM_1_1Mesh_1_1Reorder.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classGooseFEM_1_1Mesh_1_1Stitch.html">Stitch</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classGooseFEM_1_1Mesh_1_1Stitch.html" title="Stitch mesh objects, automatically searching for overlapping nodes.">Stitch</a> mesh objects, automatically searching for overlapping nodes. <a href="classGooseFEM_1_1Mesh_1_1Stitch.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classGooseFEM_1_1Mesh_1_1Vstack.html">Vstack</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Vertically stack meshes. <a href="classGooseFEM_1_1Mesh_1_1Vstack.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="enum-members" name="enum-members"></a>
Enumerations</h2></td></tr>
<tr class="memitem:a918a5ff8cbf95019827c82877b714e33" id="r_a918a5ff8cbf95019827c82877b714e33"><td class="memItemLeft" align="right" valign="top">enum class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a> { <a class="el" href="#a918a5ff8cbf95019827c82877b714e33a88183b946cc5f0e8c96b2e66e1c74a7e">Unknown</a>
, <a class="el" href="#a918a5ff8cbf95019827c82877b714e33a7e543de6ba602d09b9bd5cb5e1eee77c">Quad4</a>
, <a class="el" href="#a918a5ff8cbf95019827c82877b714e33af386881f58c90062b2624e9377036e02">Hex8</a>
, <a class="el" href="#a918a5ff8cbf95019827c82877b714e33a9623fe6fd6981ce17add24f854d83dd9">Tri3</a>
}</td></tr>
<tr class="memdesc:a918a5ff8cbf95019827c82877b714e33"><td class="mdescLeft">&#160;</td><td class="mdescRight">Enumerator for element-types. <a href="#a918a5ff8cbf95019827c82877b714e33">More...</a><br /></td></tr>
<tr class="separator:a918a5ff8cbf95019827c82877b714e33"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ad6be918d03e8cdc989ed1d3aec7ad7d0" id="r_ad6be918d03e8cdc989ed1d3aec7ad7d0"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt; </td></tr>
<tr class="memitem:ad6be918d03e8cdc989ed1d3aec7ad7d0"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a> &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#ad6be918d03e8cdc989ed1d3aec7ad7d0">nodaltyings</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &amp;<a class="el" href="#a350cb8a67d2c5dc175c6d3773c1031e4">dofs</a>)</td></tr>
<tr class="memdesc:ad6be918d03e8cdc989ed1d3aec7ad7d0"><td class="mdescLeft">&#160;</td><td class="mdescRight">List nodal tyings based on DOF-numbers per node. <br /></td></tr>
<tr class="separator:ad6be918d03e8cdc989ed1d3aec7ad7d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afae6a14a44550fe2eea5117e01a2fc46" id="r_afae6a14a44550fe2eea5117e01a2fc46"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">S</a> , <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> &gt; </td></tr>
<tr class="memitem:afae6a14a44550fe2eea5117e01a2fc46"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#afae6a14a44550fe2eea5117e01a2fc46">defaultElementType</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">S</a> &amp;coor, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> &amp;conn)</td></tr>
<tr class="memdesc:afae6a14a44550fe2eea5117e01a2fc46"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the element type based on the connectivity. <br /></td></tr>
<tr class="separator:afae6a14a44550fe2eea5117e01a2fc46"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a350cb8a67d2c5dc175c6d3773c1031e4" id="r_a350cb8a67d2c5dc175c6d3773c1031e4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a>, 2 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a350cb8a67d2c5dc175c6d3773c1031e4">dofs</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a> nnode, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a> ndim)</td></tr>
<tr class="memdesc:a350cb8a67d2c5dc175c6d3773c1031e4"><td class="mdescLeft">&#160;</td><td class="mdescRight">List with DOF-numbers in sequential order. <br /></td></tr>
<tr class="separator:a350cb8a67d2c5dc175c6d3773c1031e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a68665ce81f6cee79fe7180fac993cebf" id="r_a68665ce81f6cee79fe7180fac993cebf"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> &gt; </td></tr>
<tr class="memitem:a68665ce81f6cee79fe7180fac993cebf"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a68665ce81f6cee79fe7180fac993cebf">renumber</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> &amp;<a class="el" href="#a350cb8a67d2c5dc175c6d3773c1031e4">dofs</a>)</td></tr>
<tr class="memdesc:a68665ce81f6cee79fe7180fac993cebf"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classGooseFEM_1_1Mesh_1_1Renumber.html" title="Renumber indices to lowest possible index.">Renumber</a> to lowest possible index (see <a class="el" href="classGooseFEM_1_1Mesh_1_1Renumber.html" title="Renumber indices to lowest possible index.">GooseFEM::Mesh::Renumber</a>). <br /></td></tr>
<tr class="separator:a68665ce81f6cee79fe7180fac993cebf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4250ff2281b4ed5fa2bbdc9f1db9da0c" id="r_a4250ff2281b4ed5fa2bbdc9f1db9da0c"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">S</a> , <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> &gt; </td></tr>
<tr class="memitem:a4250ff2281b4ed5fa2bbdc9f1db9da0c"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a>, 2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a4250ff2281b4ed5fa2bbdc9f1db9da0c">overlapping</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">S</a> &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">coor_a</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">coor_b</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">rtol</a>=1<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">e</a>-5, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">atol</a>=1<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">e</a>-8)</td></tr>
<tr class="memdesc:a4250ff2281b4ed5fa2bbdc9f1db9da0c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Find overlapping nodes. <br /></td></tr>
<tr class="separator:a4250ff2281b4ed5fa2bbdc9f1db9da0c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1aa02fad17b5a6bd01f45aba4c87c054" id="r_a1aa02fad17b5a6bd01f45aba4c87c054"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &gt; </td></tr>
<tr class="memitem:a1aa02fad17b5a6bd01f45aba4c87c054"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a>, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a1aa02fad17b5a6bd01f45aba4c87c054">coordination</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;conn)</td></tr>
<tr class="memdesc:a1aa02fad17b5a6bd01f45aba4c87c054"><td class="mdescLeft">&#160;</td><td class="mdescRight">Number of elements connected to each node. <br /></td></tr>
<tr class="separator:a1aa02fad17b5a6bd01f45aba4c87c054"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abb165abf569f89597787f5cd2537bce4" id="r_abb165abf569f89597787f5cd2537bce4"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &gt; </td></tr>
<tr class="memitem:abb165abf569f89597787f5cd2537bce4"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a> &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#abb165abf569f89597787f5cd2537bce4">elem2node</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;conn, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">bool</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">sorted</a>=<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">true</a>)</td></tr>
<tr class="memdesc:abb165abf569f89597787f5cd2537bce4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Elements connected to each node. <br /></td></tr>
<tr class="separator:abb165abf569f89597787f5cd2537bce4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aaccb5d06bcdb7ef178bfb1f0110380eb" id="r_aaccb5d06bcdb7ef178bfb1f0110380eb"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> , <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt; </td></tr>
<tr class="memitem:aaccb5d06bcdb7ef178bfb1f0110380eb"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a> &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#aaccb5d06bcdb7ef178bfb1f0110380eb">elem2node</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;conn, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &amp;<a class="el" href="#a350cb8a67d2c5dc175c6d3773c1031e4">dofs</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">bool</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">sorted</a>=<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">true</a>)</td></tr>
<tr class="memdesc:aaccb5d06bcdb7ef178bfb1f0110380eb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Elements connected to each node. <br /></td></tr>
<tr class="separator:aaccb5d06bcdb7ef178bfb1f0110380eb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a52310c443f08fee48d84ef4856f1edb4" id="r_a52310c443f08fee48d84ef4856f1edb4"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt; </td></tr>
<tr class="memitem:a52310c443f08fee48d84ef4856f1edb4"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a> &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a52310c443f08fee48d84ef4856f1edb4">node2dof</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &amp;<a class="el" href="#a350cb8a67d2c5dc175c6d3773c1031e4">dofs</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">bool</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">sorted</a>=<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">true</a>)</td></tr>
<tr class="memdesc:a52310c443f08fee48d84ef4856f1edb4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Nodes connected to each DOF. <br /></td></tr>
<tr class="separator:a52310c443f08fee48d84ef4856f1edb4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6101a716891251d49ce596ddd76cdb4b" id="r_a6101a716891251d49ce596ddd76cdb4b"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> , <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &gt; </td></tr>
<tr class="memitem:a6101a716891251d49ce596ddd76cdb4b"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a6101a716891251d49ce596ddd76cdb4b">edgesize</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;coor, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;conn, <a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">type</a>)</td></tr>
<tr class="memdesc:a6101a716891251d49ce596ddd76cdb4b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return size of each element edge. <br /></td></tr>
<tr class="separator:a6101a716891251d49ce596ddd76cdb4b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aafeb3c0cd36e6fa37731ea6401c4fee1" id="r_aafeb3c0cd36e6fa37731ea6401c4fee1"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> , <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &gt; </td></tr>
<tr class="memitem:aafeb3c0cd36e6fa37731ea6401c4fee1"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#aafeb3c0cd36e6fa37731ea6401c4fee1">edgesize</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;coor, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;conn)</td></tr>
<tr class="memdesc:aafeb3c0cd36e6fa37731ea6401c4fee1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return size of each element edge. <br /></td></tr>
<tr class="separator:aafeb3c0cd36e6fa37731ea6401c4fee1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a70997b40fe1379a5405dee74d8c1b779" id="r_a70997b40fe1379a5405dee74d8c1b779"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> , <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &gt; </td></tr>
<tr class="memitem:a70997b40fe1379a5405dee74d8c1b779"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a70997b40fe1379a5405dee74d8c1b779">centers</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;coor, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;conn, <a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">type</a>)</td></tr>
<tr class="memdesc:a70997b40fe1379a5405dee74d8c1b779"><td class="mdescLeft">&#160;</td><td class="mdescRight">Coordinates of the center of each element. <br /></td></tr>
<tr class="separator:a70997b40fe1379a5405dee74d8c1b779"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a14eaccbede62dabb81e6878c66219e91" id="r_a14eaccbede62dabb81e6878c66219e91"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> , <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &gt; </td></tr>
<tr class="memitem:a14eaccbede62dabb81e6878c66219e91"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a14eaccbede62dabb81e6878c66219e91">centers</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;coor, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;conn)</td></tr>
<tr class="memdesc:a14eaccbede62dabb81e6878c66219e91"><td class="mdescLeft">&#160;</td><td class="mdescRight">Coordinates of the center of each element. <br /></td></tr>
<tr class="separator:a14eaccbede62dabb81e6878c66219e91"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae754ff6970710efc7bd83d6e95c03a34" id="r_ae754ff6970710efc7bd83d6e95c03a34"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> , <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> , <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &gt; </td></tr>
<tr class="memitem:ae754ff6970710efc7bd83d6e95c03a34"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a>, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#ae754ff6970710efc7bd83d6e95c03a34">elemmap2nodemap</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">elem_map</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;coor, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;conn, <a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">type</a>)</td></tr>
<tr class="memdesc:ae754ff6970710efc7bd83d6e95c03a34"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert an element-map to a node-map. <br /></td></tr>
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<tr class="memitem:a8c361e6a7fdd4e2e33264f0bd48ef954"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a8c361e6a7fdd4e2e33264f0bd48ef954">center_of_gravity</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;coor, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;conn, <a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">type</a>)</td></tr>
<tr class="memdesc:a8c361e6a7fdd4e2e33264f0bd48ef954"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the center of gravity of a mesh. <br /></td></tr>
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<tr class="memitem:a1798e4f45802520bbfa3deb0575835de"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a1798e4f45802520bbfa3deb0575835de">center_of_gravity</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;coor, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;conn)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Generic mesh operations, and simple mesh definitions. </p>
</div><h2 class="groupheader">Enumeration Type Documentation</h2>
<a id="a918a5ff8cbf95019827c82877b714e33" name="a918a5ff8cbf95019827c82877b714e33"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a918a5ff8cbf95019827c82877b714e33">&#9670;&#160;</a></span>ElementType</h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">enum</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="#a918a5ff8cbf95019827c82877b714e33">GooseFEM::Mesh::ElementType</a></td>
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<p>Enumerator for element-types. </p>
<table class="fieldtable">
<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a id="a918a5ff8cbf95019827c82877b714e33a88183b946cc5f0e8c96b2e66e1c74a7e" name="a918a5ff8cbf95019827c82877b714e33a88183b946cc5f0e8c96b2e66e1c74a7e"></a>Unknown&#160;</td><td class="fielddoc"><p>Unknown element-type. </p>
</td></tr>
<tr><td class="fieldname"><a id="a918a5ff8cbf95019827c82877b714e33a7e543de6ba602d09b9bd5cb5e1eee77c" name="a918a5ff8cbf95019827c82877b714e33a7e543de6ba602d09b9bd5cb5e1eee77c"></a>Quad4&#160;</td><td class="fielddoc"><p>Quadrilateral: 4-noded element in 2-d. </p>
</td></tr>
<tr><td class="fieldname"><a id="a918a5ff8cbf95019827c82877b714e33af386881f58c90062b2624e9377036e02" name="a918a5ff8cbf95019827c82877b714e33af386881f58c90062b2624e9377036e02"></a>Hex8&#160;</td><td class="fielddoc"><p>Hexahedron: 8-noded element in 3-d. </p>
</td></tr>
<tr><td class="fieldname"><a id="a918a5ff8cbf95019827c82877b714e33a9623fe6fd6981ce17add24f854d83dd9" name="a918a5ff8cbf95019827c82877b714e33a9623fe6fd6981ce17add24f854d83dd9"></a>Tri3&#160;</td><td class="fielddoc"><p>Triangle: 3-noded element in 2-d. </p>
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<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l00031">31</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a1798e4f45802520bbfa3deb0575835de">&#9670;&#160;</a></span>center_of_gravity() <span class="overload">[1/2]</span></h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; GooseFEM::Mesh::center_of_gravity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;</td> <td class="paramname"><span class="paramname"><em>coor</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;</td> <td class="paramname"><span class="paramname"><em>conn</em></span>&#160;)</td>
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<p>Compute the center of gravity of a mesh. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">C</td><td>e.g. <code><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1" title="Fixed (static) rank array.">array_type::tensor</a>&lt;double, 2&gt;</code> </td></tr>
<tr><td class="paramname">E</td><td>e.g. <code><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1" title="Fixed (static) rank array.">array_type::tensor</a>&lt;size_t, 2&gt;</code> </td></tr>
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</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">coor</td><td>Nodal coordinates <code>[nnode, ndim]</code>. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity <code>[nelem, nne]</code>. </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>Center of gravity <code>[ndim]</code>. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02826">2826</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8c361e6a7fdd4e2e33264f0bd48ef954">&#9670;&#160;</a></span>center_of_gravity() <span class="overload">[2/2]</span></h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; GooseFEM::Mesh::center_of_gravity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;</td> <td class="paramname"><span class="paramname"><em>coor</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;</td> <td class="paramname"><span class="paramname"><em>conn</em>, </span></td>
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<td class="paramtype"><a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a></td> <td class="paramname"><span class="paramname"><em>type</em></span>&#160;)</td>
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<p>Compute the center of gravity of a mesh. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">C</td><td>e.g. <code><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1" title="Fixed (static) rank array.">array_type::tensor</a>&lt;double, 2&gt;</code> </td></tr>
<tr><td class="paramname">E</td><td>e.g. <code><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1" title="Fixed (static) rank array.">array_type::tensor</a>&lt;size_t, 2&gt;</code> </td></tr>
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</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">coor</td><td>Nodal coordinates <code>[nnode, ndim]</code>. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity <code>[nelem, nne]</code>. </td></tr>
<tr><td class="paramname">type</td><td>ElementType. </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Center of gravity <code>[ndim]</code>. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02809">2809</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a14eaccbede62dabb81e6878c66219e91">&#9670;&#160;</a></span>centers() <span class="overload">[1/2]</span></h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; GooseFEM::Mesh::centers </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;</td> <td class="paramname"><span class="paramname"><em>coor</em>, </span></td>
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<p>Coordinates of the center of each element. </p>
<p>The element-type is automatically determined, see <a class="el" href="#afae6a14a44550fe2eea5117e01a2fc46" title="Extract the element type based on the connectivity.">defaultElementType()</a>.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">coor</td><td>Nodal coordinates. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Center of each element. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02656">2656</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a70997b40fe1379a5405dee74d8c1b779">&#9670;&#160;</a></span>centers() <span class="overload">[2/2]</span></h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; GooseFEM::Mesh::centers </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;</td> <td class="paramname"><span class="paramname"><em>coor</em>, </span></td>
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<td class="paramtype"><a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a></td> <td class="paramname"><span class="paramname"><em>type</em></span>&#160;)</td>
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<p>Coordinates of the center of each element. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">coor</td><td>Nodal coordinates. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity. </td></tr>
<tr><td class="paramname">type</td><td>ElementType. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Center of each element. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02626">2626</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a1aa02fad17b5a6bd01f45aba4c87c054">&#9670;&#160;</a></span>coordination()</h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a>, 1 &gt; GooseFEM::Mesh::coordination </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;</td> <td class="paramname"><span class="paramname"><em>conn</em></span></td><td>)</td>
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<p>Number of elements connected to each node. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">conn</td><td>Connectivity [nelem, nne]. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Coordination per node. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02463">2463</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#afae6a14a44550fe2eea5117e01a2fc46">&#9670;&#160;</a></span>defaultElementType()</h2>
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<td class="memname"><a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a> GooseFEM::Mesh::defaultElementType </td>
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<p>Extract the element type based on the connectivity. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">coor</td><td>Nodal coordinates [nnode, ndim]. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity [nelem, nne]. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><a class="el" href="#a918a5ff8cbf95019827c82877b714e33" title="Enumerator for element-types.">ElementType()</a>. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l00046">46</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a350cb8a67d2c5dc175c6d3773c1031e4">&#9670;&#160;</a></span>dofs()</h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a>, 2 &gt; GooseFEM::Mesh::dofs </td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a></td> <td class="paramname"><span class="paramname"><em>nnode</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a></td> <td class="paramname"><span class="paramname"><em>ndim</em></span>&#160;)</td>
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<p>List with DOF-numbers in sequential order. </p>
<p>The output is a sequential list of DOF-numbers for each vector-component of each node. For example for 3 nodes in 2 dimensions the output is</p>
<p>\( \begin{bmatrix} 0 &amp; 1 \\ 2 &amp; 3 \\ 4 &amp; 5 \end{bmatrix} \)</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">nnode</td><td>Number of nodes. </td></tr>
<tr><td class="paramname">ndim</td><td>Number of dimensions. </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>DOF-numbers. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l00093">93</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aafeb3c0cd36e6fa37731ea6401c4fee1">&#9670;&#160;</a></span>edgesize() <span class="overload">[1/2]</span></h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; GooseFEM::Mesh::edgesize </td>
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<p>Return size of each element edge. </p>
<p>The element-type is automatically determined, see <a class="el" href="#afae6a14a44550fe2eea5117e01a2fc46" title="Extract the element type based on the connectivity.">defaultElementType()</a>.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">coor</td><td>Nodal coordinates. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity. </td></tr>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Edge-sizes per element. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02612">2612</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a6101a716891251d49ce596ddd76cdb4b">&#9670;&#160;</a></span>edgesize() <span class="overload">[2/2]</span></h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; GooseFEM::Mesh::edgesize </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;</td> <td class="paramname"><span class="paramname"><em>coor</em>, </span></td>
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<td class="paramtype"><a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a></td> <td class="paramname"><span class="paramname"><em>type</em></span>&#160;)</td>
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<p>Return size of each element edge. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">coor</td><td>Nodal coordinates. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity. </td></tr>
<tr><td class="paramname">type</td><td>ElementType. </td></tr>
</table>
</dd>
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<dl class="section return"><dt>Returns</dt><dd>Edge-sizes per element. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02571">2571</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#abb165abf569f89597787f5cd2537bce4">&#9670;&#160;</a></span>elem2node() <span class="overload">[1/2]</span></h2>
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<td class="memname">std::vector&lt; std::vector&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a> &gt; &gt; GooseFEM::Mesh::elem2node </td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">bool</a></td> <td class="paramname"><span class="paramname"><em>sorted</em><span class="paramdefsep"> = </span><span class="paramdefval"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">true</a></span></span>&#160;)</td>
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<p>Elements connected to each node. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">conn</td><td>Connectivity [nelem, nne]. </td></tr>
<tr><td class="paramname">sorted</td><td>If <code>true</code> the list of elements for each node is sorted. </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Elements per node [nnode, ...]. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02486">2486</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aaccb5d06bcdb7ef178bfb1f0110380eb">&#9670;&#160;</a></span>elem2node() <span class="overload">[2/2]</span></h2>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> , <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt; </div>
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<td class="memname">std::vector&lt; std::vector&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a> &gt; &gt; GooseFEM::Mesh::elem2node </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">E</a> &amp;</td> <td class="paramname"><span class="paramname"><em>conn</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &amp;</td> <td class="paramname"><span class="paramname"><em>dofs</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">bool</a></td> <td class="paramname"><span class="paramname"><em>sorted</em><span class="paramdefsep"> = </span><span class="paramdefval"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">true</a></span></span>&#160;)</td>
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<p>Elements connected to each node. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">conn</td><td>Connectivity [nelem, nne]. </td></tr>
<tr><td class="paramname">sorted</td><td>If <code>true</code> the list of elements for each node is sorted. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Elements per node [nnode, ...]. </dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">dofs</td><td>DOFs per node, allowing accounting for periodicity [nnode, ndim]. </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02517">2517</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a7fcf22645051cb6e2e7078e4d4527183">&#9670;&#160;</a></span>elemmap2nodemap() <span class="overload">[1/2]</span></h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a>, 1 &gt; GooseFEM::Mesh::elemmap2nodemap </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> &amp;</td> <td class="paramname"><span class="paramname"><em>elem_map</em>, </span></td>
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<p>Convert an element-map to a node-map. </p>
<p>The element-type is automatically determined, see <a class="el" href="#afae6a14a44550fe2eea5117e01a2fc46" title="Extract the element type based on the connectivity.">defaultElementType()</a>.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">elem_map</td><td>Element-map such that <code>new_elvar = elvar[elem_map]</code>. </td></tr>
<tr><td class="paramname">coor</td><td>Nodal coordinates. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Node-map such that <code>new_nodevar = nodevar[node_map]</code> </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02712">2712</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ae754ff6970710efc7bd83d6e95c03a34">&#9670;&#160;</a></span>elemmap2nodemap() <span class="overload">[2/2]</span></h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a>, 1 &gt; GooseFEM::Mesh::elemmap2nodemap </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> &amp;</td> <td class="paramname"><span class="paramname"><em>elem_map</em>, </span></td>
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<td class="paramtype"><a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a></td> <td class="paramname"><span class="paramname"><em>type</em></span>&#160;)</td>
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<p>Convert an element-map to a node-map. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">elem_map</td><td>Element-map such that <code>new_elvar = elvar[elem_map]</code>. </td></tr>
<tr><td class="paramname">coor</td><td>Nodal coordinates. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity. </td></tr>
<tr><td class="paramname">type</td><td>ElementType. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Node-map such that <code>new_nodevar = nodevar[node_map]</code> </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02672">2672</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#adc038d1bf6dfc145df38cf1b2be7cf0c">&#9670;&#160;</a></span>nodal_mass() <span class="overload">[1/2]</span></h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; GooseFEM::Mesh::nodal_mass </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;</td> <td class="paramname"><span class="paramname"><em>coor</em>, </span></td>
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<p>Compute the mass of each node in the mesh. </p>
<p>If nodes are not part of the connectivity the mass is set to zero, such that the center of gravity is simply:: </p><pre class="fragment"> average(coor, GooseFEM.Mesh.nodal_mass(coor, conn), axis=0);
</pre> <dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">C</td><td>e.g. <code><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1" title="Fixed (static) rank array.">array_type::tensor</a>&lt;double, 2&gt;</code> </td></tr>
<tr><td class="paramname">E</td><td>e.g. <code><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1" title="Fixed (static) rank array.">array_type::tensor</a>&lt;size_t, 2&gt;</code> </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">coor</td><td>Nodal coordinates <code>[nnode, ndim]</code>. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity <code>[nelem, nne]</code>. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Center of gravity <code>[ndim]</code>. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02768">2768</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a4732e76bfb40af15e2baefbd73b4deb2">&#9670;&#160;</a></span>nodal_mass() <span class="overload">[2/2]</span></h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; GooseFEM::Mesh::nodal_mass </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">C</a> &amp;</td> <td class="paramname"><span class="paramname"><em>coor</em>, </span></td>
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<td class="paramtype"><a class="el" href="#a918a5ff8cbf95019827c82877b714e33">ElementType</a></td> <td class="paramname"><span class="paramname"><em>type</em></span>&#160;)</td>
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<p>Compute the mass of each node in the mesh. </p>
<p>If nodes are not part of the connectivity the mass is set to zero, such that the center of gravity is simply:: </p><pre class="fragment"> average(coor, GooseFEM.Mesh.nodal_mass(coor, conn, type), axis=0);
</pre> <dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">C</td><td>e.g. <code><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1" title="Fixed (static) rank array.">array_type::tensor</a>&lt;double, 2&gt;</code> </td></tr>
<tr><td class="paramname">E</td><td>e.g. <code><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1" title="Fixed (static) rank array.">array_type::tensor</a>&lt;size_t, 2&gt;</code> </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">coor</td><td>Nodal coordinates <code>[nnode, ndim]</code>. </td></tr>
<tr><td class="paramname">conn</td><td>Connectivity <code>[nelem, nne]</code>. </td></tr>
<tr><td class="paramname">type</td><td>ElementType. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Center of gravity <code>[ndim]</code>. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02732">2732</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad6be918d03e8cdc989ed1d3aec7ad7d0">&#9670;&#160;</a></span>nodaltyings()</h2>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt; </div>
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<td class="memname">std::vector&lt; std::vector&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a> &gt; &gt; GooseFEM::Mesh::nodaltyings </td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &amp;</td> <td class="paramname"><span class="paramname"><em>dofs</em></span></td><td>)</td>
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<p>List nodal tyings based on DOF-numbers per node. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">dofs</td><td>DOFs per node [nnode, ndim]. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Nodes to which the nodes is connected (sorted) [nnode, ...] </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02840">2840</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a52310c443f08fee48d84ef4856f1edb4">&#9670;&#160;</a></span>node2dof()</h2>
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<td class="memname">std::vector&lt; std::vector&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a> &gt; &gt; GooseFEM::Mesh::node2dof </td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">bool</a></td> <td class="paramname"><span class="paramname"><em>sorted</em><span class="paramdefsep"> = </span><span class="paramdefval"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">true</a></span></span>&#160;)</td>
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<p>Nodes connected to each DOF. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">dofs</td><td>DOFs per node [nnode, ndim]. </td></tr>
<tr><td class="paramname">sorted</td><td>If <code>true</code> the list of nodes for each DOF is sorted. </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Nodes per DOF [ndof, ...]. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l02557">2557</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a4250ff2281b4ed5fa2bbdc9f1db9da0c">&#9670;&#160;</a></span>overlapping()</h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">size_t</a>, 2 &gt; GooseFEM::Mesh::overlapping </td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">S</a> &amp;</td> <td class="paramname"><span class="paramname"><em>coor_a</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a></td> <td class="paramname"><span class="paramname"><em>rtol</em><span class="paramdefsep"> = </span><span class="paramdefval">1<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">e</a>-5</span>, </span></td>
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<p>Find overlapping nodes. </p>
<p>The output has the following structure: </p><pre class="fragment"> [
[nodes_from_mesh_a],
[nodes_from_mesh_b],
]
</pre> <dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">coor_a</td><td>Nodal coordinates of mesh "a" [nnode, ndim]. </td></tr>
<tr><td class="paramname">coor_b</td><td>Nodal coordinates of mesh "b" [nnode, ndim]. </td></tr>
<tr><td class="paramname">rtol</td><td>Relative tolerance for position match. </td></tr>
<tr><td class="paramname">atol</td><td>Absolute tolerance for position match. </td></tr>
</table>
</dd>
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<dl class="section return"><dt>Returns</dt><dd>Overlapping nodes. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l01716">1716</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a68665ce81f6cee79fe7180fac993cebf">&#9670;&#160;</a></span>renumber()</h2>
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<td class="memname"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">T</a> GooseFEM::Mesh::renumber </td>
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<p><a class="el" href="classGooseFEM_1_1Mesh_1_1Renumber.html" title="Renumber indices to lowest possible index.">Renumber</a> to lowest possible index (see <a class="el" href="classGooseFEM_1_1Mesh_1_1Renumber.html" title="Renumber indices to lowest possible index.">GooseFEM::Mesh::Renumber</a>). </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">dofs</td><td>DOF-numbers [nnode, ndim]. </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>Renumbered DOF-numbers. </dd></dl>
<p class="definition">Definition at line <a class="el" href="Mesh_8h_source.html#l00172">172</a> of file <a class="el" href="Mesh_8h_source.html">Mesh.h</a>.</p>
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