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On algebraically stabilized schemes for convection-diffusion-reaction problems (2111.08697v1)
Published 16 Nov 2021 in math.NA and cs.NA
Abstract: 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.