Website build

Author: dham

.buildinfo

@@ -1,4 +1,4 @@
 # Sphinx build info version 1
 # This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
-config: 82bc60f5d72d41292ca36b6717b1fbde
+config: de18bce13b8aa68725863cc8cf55d0bd
 tags: 645f666f9bcd5a90fca523b33c5a78b7

1_quadrature.html

@@ -5,12 +5,12 @@
     <meta charset="utf-8" />
     <meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="viewport" content="width=device-width, initial-scale=1" />
 
-    <title>1. Numerical quadrature &#8212; Finite element course 2024.0 documentation</title>
+    <title>1. Numerical quadrature &#8212; Finite element course 2026.0 documentation</title>
     <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=03e43079" />
     <link rel="stylesheet" type="text/css" href="_static/fenics.css?v=7793b76c" />
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
-    <script src="_static/documentation_options.js?v=7ff0cb77"></script>
+    <script src="_static/documentation_options.js?v=9c5a5fc5"></script>
     <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
@@ -390,7 +390,7 @@ <h2><span class="section-number">1.7. </span>Implementing quadrature rules in Py
 <p>You can implement
 <a class="reference internal" href="fe_utils.html#fe_utils.quadrature.QuadratureRule.integrate" title="fe_utils.quadrature.QuadratureRule.integrate"><code class="xref py py-meth docutils literal notranslate"><span class="pre">integrate()</span></code></a> in one line
 using a <a class="reference external" href="https://docs.python.org/3/tutorial/datastructures.html#list-comprehensions">list
-comprehension</a> and <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.dot.html#numpy.dot" title="(in NumPy v2.2)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.dot()</span></code></a>.</p>
+comprehension</a> and <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.dot.html#numpy.dot" title="(in NumPy v2.4)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.dot()</span></code></a>.</p>
 </div>
 <div class="admonition hint">
 <p class="admonition-title">Hint</p>
@@ -416,7 +416,7 @@ <h2><span class="section-number">1.7. </span>Implementing quadrature rules in Py
       <div class="clearer"></div>
     </div>
     <div class="footer" role="contentinfo">
-    &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
+    &#169; Copyright 2014-2026, David A. Ham and Colin J. Cotter.
       Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>

2_finite_elements.html

@@ -5,12 +5,12 @@
     <meta charset="utf-8" />
     <meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="viewport" content="width=device-width, initial-scale=1" />
 
-    <title>2. Constructing finite elements &#8212; Finite element course 2024.0 documentation</title>
+    <title>2. Constructing finite elements &#8212; Finite element course 2026.0 documentation</title>
     <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=03e43079" />
     <link rel="stylesheet" type="text/css" href="_static/fenics.css?v=7793b76c" />
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
-    <script src="_static/documentation_options.js?v=7ff0cb77"></script>
+    <script src="_static/documentation_options.js?v=9c5a5fc5"></script>
     <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
@@ -357,7 +357,7 @@ <h2><span class="section-number">2.5. </span>Implementing finite elements in Pyt
 <code class="docutils literal notranslate"><span class="pre">test/test_04_init_finite_element.py</span></code>.</p>
 </div></div><div class="admonition hint">
 <p class="admonition-title">Hint</p>
-<p>The <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.linalg.inv.html#numpy.linalg.inv" title="(in NumPy v2.2)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.linalg.inv()</span></code></a> function may be
+<p>The <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.linalg.inv.html#numpy.linalg.inv" title="(in NumPy v2.4)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.linalg.inv()</span></code></a> function may be
 used to invert the matrix.</p>
 </div>
 </section>
@@ -491,15 +491,15 @@ <h2><span class="section-number">2.8. </span>Gradients of basis functions<a clas
 <code class="docutils literal notranslate"><span class="pre">test/test_03_vandermonde_matrix.py</span></code>.</p>
 </div></div><div class="admonition hint">
 <p class="admonition-title">Hint</p>
-<p>The <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.ndarray.transpose.html#numpy.ndarray.transpose" title="(in NumPy v2.2)"><code class="xref py py-meth docutils literal notranslate"><span class="pre">transpose()</span></code></a> method of numpy arrays enables
+<p>The <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.ndarray.transpose.html#numpy.ndarray.transpose" title="(in NumPy v2.4)"><code class="xref py py-meth docutils literal notranslate"><span class="pre">transpose()</span></code></a> method of numpy arrays enables
 generalised transposes swapping any dimensions.</p>
 </div>
 <div class="admonition hint">
 <p class="admonition-title">Hint</p>
 <p>At least one of the natural ways of implementing this function
 results in a whole load of <code class="xref py py-data docutils literal notranslate"><span class="pre">nan</span></code> values in the generalised
 Vandermonde matrix. In this case, you might find
-<a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.nan_to_num.html#numpy.nan_to_num" title="(in NumPy v2.2)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.nan_to_num()</span></code></a> useful.</p>
+<a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.nan_to_num.html#numpy.nan_to_num" title="(in NumPy v2.4)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.nan_to_num()</span></code></a> useful.</p>
 </div>
 <div class="proof proof-type-exercise" id="id14">
 
@@ -532,7 +532,7 @@ <h2><span class="section-number">2.8. </span>Gradients of basis functions<a clas
 </div>
 </details><div class="admonition hint">
 <p class="admonition-title">Hint</p>
-<p>The <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.einsum.html#numpy.einsum" title="(in NumPy v2.2)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.einsum()</span></code></a> function implements generalised tensor
+<p>The <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.einsum.html#numpy.einsum" title="(in NumPy v2.4)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.einsum()</span></code></a> function implements generalised tensor
 contractions using <a class="reference external" href="http://mathworld.wolfram.com/EinsteinSummation.html">Einstein summation notation</a>. For
 example:</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">A</span> <span class="o">=</span> <span class="n">numpy</span><span class="o">.</span><span class="n">einsum</span><span class="p">(</span><span class="s2">&quot;ijk,jl-&gt;ilk&quot;</span><span class="p">,</span> <span class="n">T</span><span class="p">,</span> <span class="n">C</span><span class="p">)</span>
@@ -604,7 +604,7 @@ <h2><span class="section-number">2.9. </span>Interpolating functions to the fini
       <div class="clearer"></div>
     </div>
     <div class="footer" role="contentinfo">
-    &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
+    &#169; Copyright 2014-2026, David A. Ham and Colin J. Cotter.
       Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>

3_meshes.html

@@ -5,12 +5,12 @@
     <meta charset="utf-8" />
     <meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="viewport" content="width=device-width, initial-scale=1" />
 
-    <title>3. Meshes &#8212; Finite element course 2024.0 documentation</title>
+    <title>3. Meshes &#8212; Finite element course 2026.0 documentation</title>
     <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=03e43079" />
     <link rel="stylesheet" type="text/css" href="_static/fenics.css?v=7793b76c" />
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
-    <script src="_static/documentation_options.js?v=7ff0cb77"></script>
+    <script src="_static/documentation_options.js?v=9c5a5fc5"></script>
     <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
@@ -228,7 +228,7 @@ <h2><span class="section-number">3.4. </span>A mesh implementation in Python<a c
       <div class="clearer"></div>
     </div>
     <div class="footer" role="contentinfo">
-    &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
+    &#169; Copyright 2014-2026, David A. Ham and Colin J. Cotter.
       Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>

4_function_spaces.html

@@ -5,12 +5,12 @@
     <meta charset="utf-8" />
     <meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="viewport" content="width=device-width, initial-scale=1" />
 
-    <title>4. Function spaces: associating data with meshes &#8212; Finite element course 2024.0 documentation</title>
+    <title>4. Function spaces: associating data with meshes &#8212; Finite element course 2026.0 documentation</title>
     <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=03e43079" />
     <link rel="stylesheet" type="text/css" href="_static/fenics.css?v=7793b76c" />
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
-    <script src="_static/documentation_options.js?v=7ff0cb77"></script>
+    <script src="_static/documentation_options.js?v=9c5a5fc5"></script>
     <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
@@ -292,11 +292,11 @@ <h2><span class="section-number">4.5. </span>Implementing function spaces in Pyt
 <div class="admonition hint">
 <p class="admonition-title">Hint</p>
 <p><a class="reference internal" href="fe_utils.html#fe_utils.function_spaces.FunctionSpace.cell_nodes" title="fe_utils.function_spaces.FunctionSpace.cell_nodes"><code class="xref py py-attr docutils literal notranslate"><span class="pre">cell_nodes</span></code></a> needs to
-be integer-valued. If you choose to use <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.zeros.html#numpy.zeros" title="(in NumPy v2.2)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.zeros()</span></code></a>
+be integer-valued. If you choose to use <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.zeros.html#numpy.zeros" title="(in NumPy v2.4)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.zeros()</span></code></a>
 to create a matrix which you then populate with values, you
 need to explicitly specify that you want a matrix of
 integers. This can be achieved by passing the <code class="docutils literal notranslate"><span class="pre">dtype</span></code> argument
-to <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.zeros.html#numpy.zeros" title="(in NumPy v2.2)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.zeros()</span></code></a>. For example <code class="docutils literal notranslate"><span class="pre">numpy.zeros((nrows,</span> <span class="pre">ncols),</span> <span class="pre">dtype=int)</span></code>.</p>
+to <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.zeros.html#numpy.zeros" title="(in NumPy v2.4)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.zeros()</span></code></a>. For example <code class="docutils literal notranslate"><span class="pre">numpy.zeros((nrows,</span> <span class="pre">ncols),</span> <span class="pre">dtype=int)</span></code>.</p>
 </div>
 <p class="rubric">Footnotes</p>
 <aside class="footnote-list brackets">
@@ -319,7 +319,7 @@ <h2><span class="section-number">4.5. </span>Implementing function spaces in Pyt
       <div class="clearer"></div>
     </div>
     <div class="footer" role="contentinfo">
-    &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
+    &#169; Copyright 2014-2026, David A. Ham and Colin J. Cotter.
       Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>

5_functions.html

@@ -5,12 +5,12 @@
     <meta charset="utf-8" />
     <meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="viewport" content="width=device-width, initial-scale=1" />
 
-    <title>5. Functions in finite element spaces &#8212; Finite element course 2024.0 documentation</title>
+    <title>5. Functions in finite element spaces &#8212; Finite element course 2026.0 documentation</title>
     <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=03e43079" />
     <link rel="stylesheet" type="text/css" href="_static/fenics.css?v=7793b76c" />
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
-    <script src="_static/documentation_options.js?v=7ff0cb77"></script>
+    <script src="_static/documentation_options.js?v=9c5a5fc5"></script>
     <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
@@ -358,10 +358,10 @@ <h3><span class="section-number">5.3.3. </span>Implementing integration<a class=
 basis functions at each quadrature point.</p></li>
 <li><p>Visit each cell in turn.</p></li>
 <li><p>Construct the <a class="reference internal" href="fe_utils.html#fe_utils.mesh.Mesh.jacobian" title="fe_utils.mesh.Mesh.jacobian"><code class="xref py py-meth docutils literal notranslate"><span class="pre">jacobian()</span></code></a> for that cell
-and take the absolute value of its determinant (<a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.absolute.html#numpy.absolute" title="(in NumPy v2.2)"><code class="xref py py-data docutils literal notranslate"><span class="pre">numpy.absolute</span></code></a>
-and <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.linalg.det.html#numpy.linalg.det" title="(in NumPy v2.2)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.linalg.det()</span></code></a> will be useful here).</p></li>
+and take the absolute value of its determinant (<a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.absolute.html#numpy.absolute" title="(in NumPy v2.4)"><code class="xref py py-data docutils literal notranslate"><span class="pre">numpy.absolute</span></code></a>
+and <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.linalg.det.html#numpy.linalg.det" title="(in NumPy v2.4)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.linalg.det()</span></code></a> will be useful here).</p></li>
 <li><p>Sum all of the arrays you have constructed over the correct
-indices to a contribution to the integral (<a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.einsum.html#numpy.einsum" title="(in NumPy v2.2)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.einsum()</span></code></a>
+indices to a contribution to the integral (<a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.einsum.html#numpy.einsum" title="(in NumPy v2.4)"><code class="xref py py-func docutils literal notranslate"><span class="pre">numpy.einsum()</span></code></a>
 may be useful for this).</p></li>
 </ol>
 </div>
@@ -384,7 +384,7 @@ <h3><span class="section-number">5.3.3. </span>Implementing integration<a class=
       <div class="clearer"></div>
     </div>
     <div class="footer" role="contentinfo">
-    &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
+    &#169; Copyright 2014-2026, David A. Ham and Colin J. Cotter.
       Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>