]> https://gitweb.dealii.org/ - dealii.git/commitdiff
Finally fix step-59 formula.
authorMartin Kronbichler <kronbichler@lnm.mw.tum.de>
Mon, 7 May 2018 18:23:49 +0000 (20:23 +0200)
committerMatthias Maier <tamiko@43-1.org>
Mon, 7 May 2018 20:50:57 +0000 (15:50 -0500)
examples/step-59/doc/intro.dox

index 766a112181a7d0e1d1a749f9e515125ba8696950..76d6e51d5eec0c17dec2074ce20e7c7f44e6b1f8 100644 (file)
@@ -51,7 +51,7 @@ one used for the step-39 tutorial program. The discretization of the Laplacian
 is given by the following weak form
 @f{align*}
 &\sum_{K\in\text{cells}} \left(\nabla v_h, \nabla u_h\right)_{K}+\\
-&\sum_{F\in\text{faces}}\Big(-\left<[\![v_h]\!], \{\!\{\nabla u_h\}\!\}\right>_{F} - \left<\{\!\{\nabla v_h\}\!\}, \left<[\![u_h]\!]\right>_{F}\right) + \left<\left<[\![v_h]\!], \sigma \left<[\![u_h]\!]\right>_{F}\Big) \\
+&\sum_{F\in\text{faces}}\Big(-\left<[\![v_h]\!], \{\!\{\nabla u_h\}\!\}\right>_{F} - \left<\{\!\{\nabla v_h\}\!\}, [\![u_h]\!]\right>_{F} + \left<[\![v_h]\!], \sigma [\![u_h]\!]\right>_{F}\Big) \\
 &= \sum_{K\in\text{cells}}\left(v_h, f\right)_{K},
 @f}
 where $[\![v]\!] = v^- \mathbf{n}^- + v^+ \mathbf{n}^+ = \mathbf n^{-}

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