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Documenter.jl committed Nov 29, 2024
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{"documenter":{"julia_version":"1.11.1","generation_timestamp":"2024-11-28T13:45:02","documenter_version":"1.8.0"}}
{"documenter":{"julia_version":"1.11.1","generation_timestamp":"2024-11-29T14:36:26","documenter_version":"1.8.0"}}
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</code></pre><p>This is an internal function similar to <code>integrate(::Type{&lt;:Cartesian2D},...)</code>, but computes instead <span>$\int_{\sigma} r \, \mathbf{v} \cdot \mathbf{n} \,\mathrm{ds} \lvert x_K - x_L \rvert / \left ( \lvert\sigma\rvert r(\mathrm{mid}(\sigma)) \right )$</span> where <span>$r(\mathrm{mid}(\sigma))$</span> is the <span>$r$</span>-coordinate of the mid-point of <span>$\sigma$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/WIAS-PDELib/VoronoiFVM.jl">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="VoronoiFVM.doolittle_ludecomp!" href="#VoronoiFVM.doolittle_ludecomp!"><code>VoronoiFVM.doolittle_ludecomp!</code></a><span class="docstring-category">Function</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><pre><code class="language-julia hljs">doolittle_ludecomp!(LU)
</code></pre><p>Non-pivoting inplace LU factorization using Doolittle&#39;s method. Adapted from https://en.wikipedia.org/wiki/LU<em>decomposition#MATLAB</em>code_example.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/WIAS-PDELib/VoronoiFVM.jl">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="VoronoiFVM.doolittle_lusolve!" href="#VoronoiFVM.doolittle_lusolve!"><code>VoronoiFVM.doolittle_lusolve!</code></a><span class="docstring-category">Function</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><pre><code class="language-julia hljs">doolittle_lusolve!(LU, b)
</code></pre><p>Non-pivoting inplace upper and lower triangular solve of matrix factorized with <code>doolittle_ludecomp!</code>. Adapted from https://en.wikipedia.org/wiki/LU<em>decomposition#MATLAB</em>code_example.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/WIAS-PDELib/VoronoiFVM.jl">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="VoronoiFVM.bernoulli_horner" href="#VoronoiFVM.bernoulli_horner"><code>VoronoiFVM.bernoulli_horner</code></a><span class="docstring-category">Function</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><pre><code class="language-julia hljs">bernoulli_horner(x)
</code></pre><p>Calculation of Bernoulli function via Horner scheme based on Taylor coefficients around 0.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/WIAS-PDELib/VoronoiFVM.jl">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="VoronoiFVM._print_error" href="#VoronoiFVM._print_error"><code>VoronoiFVM._print_error</code></a><span class="docstring-category">Function</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><p>Print error when catching exceptions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/WIAS-PDELib/VoronoiFVM.jl">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../misc/">« Miscellaneous</a><a class="docs-footer-nextpage" href="../allindex/">Index »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.8.0 on <span class="colophon-date" title="Thursday 28 November 2024 13:45">Thursday 28 November 2024</span>. Using Julia version 1.11.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
</code></pre><p>Calculation of Bernoulli function via Horner scheme based on Taylor coefficients around 0.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/WIAS-PDELib/VoronoiFVM.jl">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="VoronoiFVM._print_error" href="#VoronoiFVM._print_error"><code>VoronoiFVM._print_error</code></a><span class="docstring-category">Function</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><p>Print error when catching exceptions</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/WIAS-PDELib/VoronoiFVM.jl">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../misc/">« Miscellaneous</a><a class="docs-footer-nextpage" href="../allindex/">Index »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.8.0 on <span class="colophon-date" title="Friday 29 November 2024 14:36">Friday 29 November 2024</span>. Using Julia version 1.11.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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