A hierarchical basis preconditioner for solving FE-BI matrix equations of three-dimensional scattering

Author

Ban, Yong-Ling ; Nie, Zai-ping

Author_Institution

Coll. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu

Volume

1B

fYear

2005

fDate

2005

Firstpage

137

Abstract

A multilevel recursively defined preconditioner for use with the preconditioned GMRES algorithm is developed and applied to accelerate the solution of the vector finite element-boundary integral (FE-BI) matrix equations of scattering by a three-dimensional cavity. The preconditioner is constructed from a sequence of hierarchical vector spaces arising from the p-version of the finite element method. Numerical studies have been conducted using hexahedral elements for three-dimensional problems with p = 2 . The efficiency of the iterative procedure is illustrated using convergence curves

Keywords

boundary integral equations; cavity resonators; convergence of numerical methods; electromagnetic wave scattering; finite element analysis; matrix algebra; waveguide theory; FE-BI matrix equations; GMRES algorithm; convergence curves; hierarchical basis preconditioner; three-dimensional cavity; three-dimensional scattering; vector finite element-boundary integral; Acceleration; Educational institutions; Finite element methods; Frequency; Integral equations; Iterative methods; Matrix decomposition; Partial response channels; Scattering; Transmission line matrix methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2005 IEEE

Conference_Location

Washington, DC

Print_ISBN

0-7803-8883-6

Type

conf

DOI

10.1109/APS.2005.1551503

Filename

1551503