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On algebraically stabilized schemes for convection-diffusion-reaction problems

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arxiv 2111.08697 v1 pith:YOEBW544 submitted 2021-11-16 math.NA cs.NA

Volker John , Petr Knobloch This is my paper · ORCID
classification math.NAcs.NA
keywords algebraicallyconvection-diffusion-reactionframeworkstabilizedabstractanalysisappliedarbitrary
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An abstract framework is developed that enables the analysis of algebraically stabilized discretizations in a unified way. This framework is applied to a discretization of this kind for convection-diffusion-reaction equations. The definition of this scheme contains a new limiter that improves a standard one in such a way that local and global discrete maximum principles are satisfied on arbitrary simplicial meshes.

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