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module-Projects.SimplicialComplexOperators.html
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<h1 class="page-title">Class: SimplicialComplexOperators</h1>
<section>
<header>
<h2>
<span class="ancestors"><a href="module-Projects.html">Projects</a>.</span>
SimplicialComplexOperators
</h2>
</header>
<article>
<div class="container-overview">
<hr>
<dt>
<h4 class="name" id="SimplicialComplexOperators"><span class="type-signature"></span>new SimplicialComplexOperators(mesh)</h4>
</dt>
<dd>
<div class="description">
<p>This class implements various operators (e.g. boundary, star, link) on a mesh.</p>
</div>
<h5>Parameters:</h5>
<table class="params table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>mesh</code></td>
<td class="type">
<span class="param-type"><a href="module-Core.Mesh.html">module:Core.Mesh</a></span>
</td>
<td class="description last"><p>The input mesh this class acts on.</p></td>
</tr>
</tbody>
</table>
<dl class="details">
<h5 class="subsection-title">Properties:</h5>
<dl>
<table class="props table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>mesh</code></td>
<td class="type">
<span class="param-type"><a href="module-Core.Mesh.html">module:Core.Mesh</a></span>
</td>
<td class="description last"><p>The input mesh this class acts on.</p></td>
</tr>
<tr>
<td class="name"><code>A0</code></td>
<td class="type">
<span class="param-type"><a href="module-LinearAlgebra.SparseMatrix.html">module:LinearAlgebra.SparseMatrix</a></span>
</td>
<td class="description last"><p>The vertex-edge adjacency matrix of <code>mesh</code>.</p></td>
</tr>
<tr>
<td class="name"><code>A1</code></td>
<td class="type">
<span class="param-type"><a href="module-LinearAlgebra.SparseMatrix.html">module:LinearAlgebra.SparseMatrix</a></span>
</td>
<td class="description last"><p>The edge-face adjacency matrix of <code>mesh</code>.</p></td>
</tr>
</tbody>
</table>
</dl>
</dl>
</dd>
</div>
<h3 class="subsection-title">Methods</h3>
<dl>
<hr>
<dt>
<h4 class="name" id="assignElementIndices"><span class="type-signature"></span>assignElementIndices(mesh)</h4>
</dt>
<dd>
<div class="description">
<p>Assigns indices to the input mesh's vertices, edges, and faces</p>
</div>
<h5>Parameters:</h5>
<table class="params table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>mesh</code></td>
<td class="type">
<span class="param-type"><a href="module-Core.Mesh.html">module:Core.Mesh</a></span>
</td>
<td class="description last"><p>The input mesh which we index.</p></td>
</tr>
</tbody>
</table>
<dl class="details">
</dl>
</dd>
<hr>
<dt>
<h4 class="name" id="buildVertexEdgeAdjacencyMatrix"><span class="type-signature"></span>buildVertexEdgeAdjacencyMatrix(mesh)</h4>
</dt>
<dd>
<div class="description">
<p>Returns the vertex-edge adjacency matrix of the given mesh.</p>
</div>
<h5>Parameters:</h5>
<table class="params table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>mesh</code></td>
<td class="type">
<span class="param-type"><a href="module-Core.Mesh.html">module:Core.Mesh</a></span>
</td>
<td class="description last"><p>The mesh whose adjacency matrix we compute.</p></td>
</tr>
</tbody>
</table>
<dl class="details">
</dl>
<h5>Returns:</h5>
<div class="param-desc">
<p>The vertex-edge adjacency matrix of the given mesh.</p>
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type"><a href="module-LinearAlgebra.SparseMatrix.html">module:LinearAlgebra.SparseMatrix</a></span>
</dd>
</dl>
</dd>
<hr>
<dt>
<h4 class="name" id="buildEdgeFaceAdjacencyMatrix"><span class="type-signature"></span>buildEdgeFaceAdjacencyMatrix(mesh)</h4>
</dt>
<dd>
<div class="description">
<p>Returns the edge-face adjacency matrix.</p>
</div>
<h5>Parameters:</h5>
<table class="params table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>mesh</code></td>
<td class="type">
<span class="param-type"><a href="module-Core.Mesh.html">module:Core.Mesh</a></span>
</td>
<td class="description last"><p>The mesh whose adjacency matrix we compute.</p></td>
</tr>
</tbody>
</table>
<dl class="details">
</dl>
<h5>Returns:</h5>
<div class="param-desc">
<p>The edge-face adjacency matrix of the given mesh.</p>
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type"><a href="module-LinearAlgebra.SparseMatrix.html">module:LinearAlgebra.SparseMatrix</a></span>
</dd>
</dl>
</dd>
<hr>
<dt>
<h4 class="name" id="buildVertexVector"><span class="type-signature"></span>buildVertexVector(subset)</h4>
</dt>
<dd>
<div class="description">
<p>Returns a column vector representing the vertices of the<br>
given subset.</p>
</div>
<h5>Parameters:</h5>
<table class="params table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>subset</code></td>
<td class="type">
<span class="param-type"><a href="module-Core.MeshSubset.html">module:Core.MeshSubset</a></span>
</td>
<td class="description last"><p>A subset of our mesh.</p></td>
</tr>
</tbody>
</table>
<dl class="details">
</dl>
<h5>Returns:</h5>
<div class="param-desc">
<p>A column vector with |V| entries. The ith entry is 1 if<br>
vertex i is in the given subset and 0 otherwise</p>
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type"><a href="module-LinearAlgebra.DenseMatrix.html">module:LinearAlgebra.DenseMatrix</a></span>
</dd>
</dl>
</dd>
<hr>
<dt>
<h4 class="name" id="buildEdgeVector"><span class="type-signature"></span>buildEdgeVector(subset)</h4>
</dt>
<dd>
<div class="description">
<p>Returns a column vector representing the edges of the<br>
given subset.</p>
</div>
<h5>Parameters:</h5>
<table class="params table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>subset</code></td>
<td class="type">
<span class="param-type"><a href="module-Core.MeshSubset.html">module:Core.MeshSubset</a></span>
</td>
<td class="description last"><p>A subset of our mesh.</p></td>
</tr>