arXiv:1811.03839 Abstract | arXiv Analytics

arXiv:1811.03839 [math.NA]Abstract References Reviews Resources

Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems

Published 2018-11-09Version 1

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.

Comments: 19 pages, 5 tables

Categories: math.NA, cs.NA

Subjects: 65N55, 65N30, 65J10, 65F08

Keywords: singularly perturbed symmetric reaction-diffusion systems, multilevel schwarz preconditioners, galerkin finite element discretization, penalty discontinuous galerkin finite, multilevel non-overlapping schwarz preconditioners

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