The approximate inverse preconditioner for finite element analysis of helmholtz equations

Author

Ping, Xuewei ; Yu, Wenming ; Cui, Tiejun

Author_Institution

State Key Lab. of Millimeter Waves, Southeast Univ., Nanjing, China

fYear

2009

fDate

7-10 Dec. 2009

Firstpage

108

Lastpage

110

Abstract

In this paper, the sparse inverse (AINV) preconditioner is considered for the conjugate gradient iterative solution of large sparse FEM linear systems. The numerical efficiency of the AINV preconditioner is illustrated on a dielectric sphere and a compound cylinder in the final of the paper. The results showed that the AINV-CG solver is an efficient approach for the FEM solution of electromagnetic scattering problems.

Keywords

Helmholtz equations; approximation theory; conjugate gradient methods; electromagnetic wave scattering; finite element analysis; iterative methods; sparse matrices; AINV preconditioner; AINV-CG solver; Helmholtz equations; approximate inverse preconditioner; compound cylinder; conjugate gradient iterative solution; dielectric sphere; electromagnetic scattering; finite element analysis; large sparse FEM linear systems; numerical efficiency; sparse inverse preconditioner; Acceleration; Computational modeling; Electromagnetic scattering; Equations; Finite element methods; Information analysis; Laboratories; Linear systems; Sparse matrices; Symmetric matrices; AINV; Electromagnetic scattering; Finite element method; preconditioning;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference, 2009. APMC 2009. Asia Pacific

Conference_Location

Singapore

Print_ISBN

978-1-4244-2801-4

Electronic_ISBN

978-1-4244-2802-1

Type

conf

DOI

10.1109/APMC.2009.5385417

Filename

5385417