Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems

Electronic Transactions on Numerical Analysis

article

José Pablo Lucero Lorca¹  Guido Kanschat² 

[1] Department of Applied Mathematics, University of Colorado at Boulder;Interdisciplinary Center for Scientific Computing ,(IWR), Heidelberg University

关键词: multilevel;    Schwarz;    preconditioner;    multigrid;    reaction;    diffusion;    discontinuous;    Galerkin;   

DOI  :  10.1553/etna_vol54s89

学科分类：数学（综合）

来源: Kent State University * Institute of Computational Mathematics

【 摘 要 】

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.

【 授权许可】

Unknown