OGS
[case] IsotropicDiffusion

It defines an isotropic diffusion stabilization, the simplest stabilization method.

The method adds an artificial isotropic balancing dissipation to the diffusion coefficient in order to force the P├ęclet number to be smaller than 1. The isotropic balancing dissipation is defined as

\[ \mathbf{K}_{\delta} = \frac{1}{2}\alpha ||\mathbf v||h \mathbf I \]

with \(\alpha \in [0,1] \) the tuning parameter, \(h\) the element size (e.g. the maximum edge length of element), and \(\mathbf I\) the identity matrix.

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Used in the following test data files