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Finiteelementcourse.pdf

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L6_stokes.html

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@@ -116,7 +116,7 @@ <h2><span class="section-number">6.2. </span>Variational form of the equations<a
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<span class="eqno">(6.5)<a class="headerlink" href="#equation-l6-stokes-4" title="Permalink to this equation"></a></span>\[ \begin{align}\begin{aligned}a(u,v) + b(v, p) &amp; = \int_\Omega f\cdot v d\, x,\\b(u,q) &amp; = 0, \quad \forall (v,q) \in V\times Q,\end{aligned}\end{align} \]</div>
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<p>where</p>
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<div class="math notranslate nohighlight" id="equation-l6-stokes-5">
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<span class="eqno">(6.6)<a class="headerlink" href="#equation-l6-stokes-5" title="Permalink to this equation"></a></span>\[ \begin{align}\begin{aligned}a(u,v) = \mu\int_\Omega \epsilon(u):\epsilon(v)d\, x,\\b(v,q) = -\int_\Omega q \nabla\cdot v d\, x.\end{aligned}\end{align} \]</div>
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<span class="eqno">(6.6)<a class="headerlink" href="#equation-l6-stokes-5" title="Permalink to this equation"></a></span>\[ \begin{align}\begin{aligned}a(u,v) = 2\mu\int_\Omega \epsilon(u):\epsilon(v)d\, x,\\b(v,q) = -\int_\Omega q \nabla\cdot v d\, x.\end{aligned}\end{align} \]</div>
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</div></div><div class="proof proof-type-exercise" id="id2">
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<div class="proof-title">

_sources/L6_stokes.rst.txt

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@@ -94,7 +94,7 @@ vanish on the boundary, and `Q=\mathring{L}^2(\Omega)`, with
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.. math::
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:label:
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a(u,v) = \mu\int_\Omega \epsilon(u):\epsilon(v)d\, x,
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a(u,v) = 2\mu\int_\Omega \epsilon(u):\epsilon(v)d\, x,
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b(v,q) = -\int_\Omega q \nabla\cdot v d\, x.
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