On algebraically stabilized schemes for convection-diffusion-reaction problems
Numerical Analysis
2021-11-17 v1 Numerical Analysis
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.
Cite
@article{arxiv.2111.08697,
title = {On algebraically stabilized schemes for convection-diffusion-reaction problems},
author = {Volker John and Petr Knobloch},
journal= {arXiv preprint arXiv:2111.08697},
year = {2021}
}
Comments
34 pages, 4 figures