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Author: colinjcotter

Finiteelementcourse.pdf

@@ -80,7 +80,7 @@ <h2><span class="section-number">6.1. </span>Strong form of the equations<a clas
 <span class="eqno">(6.2)<a class="headerlink" href="#equation-l6-stokes-1" title="Link to this equation">¶</a></span>\[(\nabla u)_{ij} = \frac{\partial u_i}{\partial x_j},
 (\nabla u^T)_{ij} = (\nabla u)_{ji}.\]</div>
 <p>Note that under the incompressibility constraint <span class="math notranslate nohighlight">\(\nabla\cdot u =0\)</span>, we
-can write <span class="math notranslate nohighlight">\(\nabla\cdot\epsilon(u)=\nabla^2 u\)</span>. However, this leads to
+can write <span class="math notranslate nohighlight">\(2\nabla\cdot\epsilon(u)=\nabla^2 u\)</span>. However, this leads to
 various issues in the finite element discretisation, and makes it harder
 to apply stress-free boundary conditions.</p>
 <p>Under no slip boundary conditions, the pressure <span class="math notranslate nohighlight">\(p\)</span> only appears in

L6_stokes.html

@@ -45,7 +45,7 @@ that `\nabla u` is a 2-tensor (i.e. a matrix-valued function), with
    (\nabla u^T)_{ij} = (\nabla u)_{ji}.
 
 Note that under the incompressibility constraint `\nabla\cdot u =0`, we
-can write `\nabla\cdot\epsilon(u)=\nabla^2 u`. However, this leads to
+can write `2\nabla\cdot\epsilon(u)=\nabla^2 u`. However, this leads to
 various issues in the finite element discretisation, and makes it harder
 to apply stress-free boundary conditions.