Mixed Discontinuous Galerkin Methods with Minimal Stabilization

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  • Daniele Marazzina

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https://doi.org/10.1685/

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In this talk we will address the problem of finding the minimal necessary stabilization for a class of Discontinuous Galerkin (DG) methods in mixed form. In particular, we will consider the Poisson problem and present a new stabilized formulation of the Bassi-Rebay method and a new formulation of the Local Discontinuous Galerkin (LDG) method. It will be shown that, in order to reach stability, it is enough to add jump terms only over a part of the boundary of the domain, instead of over all the skeleton of the mesh, as it is usually done (see the original LDG method, for instance). We will also support our theory with numerical results. [DOI: 10.1685/CSC06108] About DOI

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2007-10-01

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##issue.vol## 2 (2007)

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Articles

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