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<a href="#pub-methods">Public Member Functions</a> &#124;
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<p>Solve \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \) for <code>A</code> of the MatrixPartitioned() class.
<a href="#details">More...</a></p>
<p><code>#include &lt;<a class="el" href="MatrixPartitioned_8h_source.html">GooseFEM/MatrixPartitioned.h</a>&gt;</code></p>
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Inheritance diagram for GooseFEM::MatrixPartitionedSolver&lt; Solver &gt;:</div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a0cf30a69a17281b45ab3de3df0cdf562" id="r_a0cf30a69a17281b45ab3de3df0cdf562"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">M</a> &gt; </td></tr>
<tr class="memitem:a0cf30a69a17281b45ab3de3df0cdf562"><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="#a0cf30a69a17281b45ab3de3df0cdf562">Solve_u</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">M</a> &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">A</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <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; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">b_u</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <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; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">x_p</a>)</td></tr>
<tr class="memdesc:a0cf30a69a17281b45ab3de3df0cdf562"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solve \( x = A^{-1} b \). <br /></td></tr>
<tr class="separator:a0cf30a69a17281b45ab3de3df0cdf562"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abc5e21d054742995c202009243e6952e" id="r_abc5e21d054742995c202009243e6952e"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">M</a> &gt; </td></tr>
<tr class="memitem:abc5e21d054742995c202009243e6952e"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">void</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#abc5e21d054742995c202009243e6952e">solve_u</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">M</a> &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">A</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <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; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">b_u</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <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; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">x_p</a>, <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; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">x_u</a>)</td></tr>
<tr class="memdesc:abc5e21d054742995c202009243e6952e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Same as Solve \( x = A^{-1} b \). <br /></td></tr>
<tr class="separator:abc5e21d054742995c202009243e6952e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><div class="compoundTemplParams">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">Solver</a> = Eigen::SimplicialLDLT&lt;Eigen::SparseMatrix&lt;double&gt;&gt;&gt;<br />
class GooseFEM::MatrixPartitionedSolver&lt; Solver &gt;</div><p>Solve \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \) for <code>A</code> of the MatrixPartitioned() class. </p>
<p>You can solve for multiple right-hand-sides using one factorisation.</p>
<p>For "nodevec" input <code>x</code> is used to read \( x_p \), while \( x_u \) is written. See <a class="el" href="classGooseFEM_1_1MatrixPartitionedBase.html#ae48eba03e3b32d8240b19ec242952f9e" title="Right-hand-size for corresponding to the prescribed DOFs:">MatrixPartitioned::Reaction()</a> to get \( b_p \). </p>
<p class="definition">Definition at line <a class="el" href="MatrixPartitioned_8h_source.html#l00526">526</a> of file <a class="el" href="MatrixPartitioned_8h_source.html">MatrixPartitioned.h</a>.</p>
</div><h2 class="groupheader">Member Function Documentation</h2>
<a id="a0cf30a69a17281b45ab3de3df0cdf562" name="a0cf30a69a17281b45ab3de3df0cdf562"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0cf30a69a17281b45ab3de3df0cdf562">&#9670;&#160;</a></span>Solve_u()</h2>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">Solver</a> = Eigen::SimplicialLDLT&lt;Eigen::SparseMatrix&lt;double&gt;&gt;&gt; </div>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">M</a> &gt; </div>
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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; <a class="el" href="classGooseFEM_1_1MatrixPartitionedSolver.html">GooseFEM::MatrixPartitionedSolver</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">Solver</a> &gt;::Solve_u </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">M</a> &amp;</td> <td class="paramname"><span class="paramname"><em>A</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <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; &amp;</td> <td class="paramname"><span class="paramname"><em>b_u</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <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; &amp;</td> <td class="paramname"><span class="paramname"><em>x_p</em></span>&#160;)</td>
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<p>Solve \( x = A^{-1} b \). </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">A</td><td><a class="el" href="namespaceGooseFEM.html" title="Toolbox to perform finite element computations.">GooseFEM</a> (sparse) matrix, see e.g. <a class="el" href="classGooseFEM_1_1MatrixPartitioned.html" title="Sparse matrix partitioned in an unknown and a prescribed part.">GooseFEM::MatrixPartitioned()</a>. </td></tr>
<tr><td class="paramname">b_u</td><td>unknown dofval [nnu]. </td></tr>
<tr><td class="paramname">x_p</td><td>prescribed dofval [nnp] </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>x_u unknown dofval [nnu]. </dd></dl>
<p class="definition">Definition at line <a class="el" href="MatrixPartitioned_8h_source.html#l00545">545</a> of file <a class="el" href="MatrixPartitioned_8h_source.html">MatrixPartitioned.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#abc5e21d054742995c202009243e6952e">&#9670;&#160;</a></span>solve_u()</h2>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">Solver</a> = Eigen::SimplicialLDLT&lt;Eigen::SparseMatrix&lt;double&gt;&gt;&gt; </div>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">M</a> &gt; </div>
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<td class="memname"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">void</a> <a class="el" href="classGooseFEM_1_1MatrixPartitionedSolver.html">GooseFEM::MatrixPartitionedSolver</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">Solver</a> &gt;::solve_u </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">M</a> &amp;</td> <td class="paramname"><span class="paramname"><em>A</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <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; &amp;</td> <td class="paramname"><span class="paramname"><em>b_u</em>, </span></td>
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<td class="paramtype"><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; &amp;</td> <td class="paramname"><span class="paramname"><em>x_u</em></span>&#160;)</td>
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<p>Same as Solve \( x = A^{-1} b \). </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">A</td><td><a class="el" href="namespaceGooseFEM.html" title="Toolbox to perform finite element computations.">GooseFEM</a> (sparse) matrix, see e.g. <a class="el" href="classGooseFEM_1_1MatrixPartitioned.html" title="Sparse matrix partitioned in an unknown and a prescribed part.">GooseFEM::MatrixPartitioned()</a>. </td></tr>
<tr><td class="paramname">b_u</td><td>unknown dofval [nnu]. </td></tr>
<tr><td class="paramname">x_p</td><td>prescribed dofval [nnp] </td></tr>
<tr><td class="paramname">x_u</td><td>(overwritten) unknown dofval [nnu]. </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="MatrixPartitioned_8h_source.html#l00568">568</a> of file <a class="el" href="MatrixPartitioned_8h_source.html">MatrixPartitioned.h</a>.</p>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>GooseFEM/<a class="el" href="MatrixPartitioned_8h_source.html">MatrixPartitioned.h</a></li>
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