Multigrid Method With Adaptive IDR-Based Jacobi Smoother

Author

Watanabe, Kota ; Fujino, Seiji ; Igarashi, Hajime

Author_Institution

Grad. Sch. of Inf. & Technol., Hokkaido Univ., Sapporo, Japan

Volume

47

Issue

5

fYear

2011

fDate

5/1/2011 12:00:00 AM

Firstpage

1210

Lastpage

1213

Abstract

Multigrid (MG) methods are known to be fast linear solvers for large-scale finite-element analyses. The Gauss-Seidel method is usually adopted as the smoother for MG methods. However, recently, considerable attention has focused on induced dimension reduction (IDR)-based solvers because they are faster. In this paper, we investigate the convergence of IDR-based solvers and evaluate the performance of an MG method with an adaptive IDR-based Jacobi smoother. Numerical results show that this method has good convergence and good efficiency in parallel computations for finite-element analysis of electromagnetic fields.

Keywords

electromagnetic field theory; finite element analysis; linear differential equations; Gauss-Seidel method; Jacobi smoother; adaptive induced dimension reduction based solvers; electromagnetic fields; large-scale finite-element analyses; linear solvers; multigrid methods; Adaptation model; Computational modeling; Convergence; Equations; Jacobian matrices; Magnetostatics; Multigrid methods; Finite-element method; induced dimension reduction (IDR) method; multigrid (MG) method; parallel computation;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2092754

Filename

5754787