Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems
Numerical Analysis
2021-01-18 v2 Numerical Analysis
Abstract
We present robust and highly parallel multilevel non-overlapping Schwarz preconditioners, to solve an interior penalty discontinuous Galerkin finite element discretization of a system of steady state, singularly perturbed reaction-diffusion equations with a singular reaction operator, using a GMRES solver. We provide proofs of convergence for the two-level setting and the multigrid V-cycle as well as numerical results for a wide range of regimes.
Keywords
Cite
@article{arxiv.1811.03839,
title = {Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems},
author = {Jose Pablo Lucero Lorca and Guido Kanschat},
journal= {arXiv preprint arXiv:1811.03839},
year = {2021}
}
Comments
19 pages, 5 tables