Iterative solvers for hierarchal vector finite element analysis of microwave problems

Author

Huang, Z. ; Webb, J.P.

Author_Institution

Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, Que., Canada

Volume

37

Issue

5

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

3285

Lastpage

3288

Abstract

The finite element analysis of microwave devices reduces to the solution of a large, sparse matrix equation. Several iterative solution methods were tested on the matrices arising when high-order, hierarchical edge elements are used. The best algorithm tested was the conjugate gradient method, with a preconditioner based on symmetric successive overrelaxation. The number of iterations needed was found to increase only slowly with element order for the first three orders, despite the corresponding large increase in the matrix dimension. In all cases there was a rapid deterioration in performance when the element size exceeded about a tenth of a wavelength

Keywords

conjugate gradient methods; finite element analysis; iterative methods; microwave devices; sparse matrices; waveguide components; conjugate gradient method; finite element analysis; hierarchal vector FEA; high-order hierarchical edge elements; iterative solution methods; iterative solvers; microwave devices; microwave problems; preconditioner; sparse matrix equation; symmetric successive overrelaxation; Conductors; Equations; Finite element methods; Iterative methods; Microwave devices; Microwave theory and techniques; Sparse matrices; Symmetric matrices; Testing; Transmission line matrix methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.952596

Filename

952596