A coarse-fine-mesh stabilization for an alternating Schwarz domain decomposition method

Artikel i vetenskaplig tidskrift, 2019

Domain decomposition methods can be solved in various ways. In this paper, domain decomposition in strips is used. It is demonstrated that a special version of the Schwarz alternating iteration method coupled with coarse-fine-mesh stabilization leads to a very efficient solver, which is easy to implement and has a behavior nearly independent of mesh and problem parameters. The novelty of the method is the use of alternating iterations between odd- and even-numbered subdomains and the replacement of the commonly used coarse-mesh stabilization method with coarse-fine-mesh stabilization.