A coarse-fine-mesh stabilization for an alternating Schwarz domain decomposition method
Journal article, 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.

alternating Schwarz

coarse-fine-mesh stabilization

preconditioning

domain decomposition

Author

Owe Axelsson

Czech Academy of Sciences

Ivar Gustafsson

University of Gothenburg

Chalmers, Mathematical Sciences

Numerical Linear Algebra with Applications

1070-5325 (ISSN)

Vol. 26 3 e2236

Subject Categories

Aerospace Engineering

Computational Mathematics

Robotics

DOI

10.1002/nla.2236

More information

Latest update

7/16/2019