Convergence of geometric multigrid method for electromagnetic field analysis

Issue title: Proceedings of the twelfth International Symposium on Interdisciplinary Electromagnetic, Mechanic and Biomedical Problems, ISEM Bad Gastein

Article type: Research Article

Authors: Watanabe, Kota^{a; *} | Igarashi, Hajime^a

Affiliations: [a] Graduate School of Information Science and Technology, Hokkaido University, 060-0814 Sapporo, Japan

Correspondence: [*] Corresponding author. Tel.: +81 11 706 6487; Fax: +81 11 706 7670; E-mail: [email protected]

Abstract: The multigrid method has been applied to electromagnetic field problems to show that it can reduce computational time in comparison with conventional linear solvers. However the convergence of the multigrid method depends on the iteration number of smoothing. Thus it is important to estimate the optimum iteration number of smoothing. This paper discusses the convergence of the geometric multigrid method against the iteration number of smoothing in edge-based finite element analysis. Numerical results show that the optimum number of smoothing can be estimated using the aspect ratio of elements.

Keywords: Multigrid method, FEM, edge element

DOI: 10.3233/JAE-2007-858

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 25, no. 1-4, pp. 755-758, 2007