A finite element domain decomposition combined with algebraic multigrid method for large-scale electromagnetic field computation

Author

Liu, Yuanqing ; Yuan, Jiansheng

Author_Institution

Dept. of Electr. Eng., Tsinghua Univ., Beijing

Volume

42

Issue

4

fYear

2006

fDate

4/1/2006 12:00:00 AM

Firstpage

655

Lastpage

658

Abstract

A nesting combination of the finite element domain decomposition method and the algebraic multigrid method is presented in this paper, which does not use the algebraic multigrid method as a pure iterative solver, but nests the iteration steps of the domain decomposition method into the iteration steps of the algebraic multigrid method. Mainly the step of updating inner boundary values in the domain decomposition iteration is nested into the transition steps of the coarse and the fine grids in algebraic multigrid method. The number of iteration between the sub-domains of the domain decomposition method can be decreased greatly by the nesting combination approach. The approach is suitable for parallel computation of large-scale problems

Keywords

computational electromagnetics; decomposition; differential equations; finite element analysis; algebraic multigrid method; domain decomposition method; electromagnetic field computation; finite element method; large-scale problems; nesting combination; parallel computation; pure iterative solver; Boundary conditions; Concurrent computing; Distributed decision making; Electromagnetic fields; Equations; Finite element methods; Large-scale systems; Multigrid methods; Power engineering computing; Power systems; Algebraic multigrid; domain decomposition method; electromagnetic field; finite element method;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2006.872464

Filename

1608291