A Kind of Preconditioners Based on Shifted Operators to Solve Three-Dimensional TVFEM Equations

Author

Li, S.S. ; Ping, X.W. ; Chen, R.S.

Author_Institution

Naval Aeronaut. Eng. Inst., Yantai

fYear

2007

fDate

16-17 Aug. 2007

Firstpage

842

Lastpage

844

Abstract

In this paper, the tangential vector finite element method is used for solving the 3D time-harmonic electromagnetic problems. The preconditioned conjugate gradient solver is applied to solve the large sparse indefinite FEM equations. An efficient and robust preconditioner is introduced. The preconditioner is derived from the IC factorization based on shifted Laplace operators. The efficiency of the proposed approach is studied on several numerical model problems. Our numerical results demonstrate that this method is especially effective when TVFEM is applied to solve large-scale time harmonic electromagnetic field problems.

Keywords

computational electromagnetics; conjugate gradient methods; electromagnetic field theory; finite element analysis; matrix decomposition; 3D TVFEM equations; 3D time-harmonic electromagnetic problems; IC factorization; indefinite FEM equations; preconditioned conjugate gradient solver; preconditioners; shifted Laplace operators; tangential vector finite element method; Antennas and propagation; Communications technology; Electromagnetic compatibility; Laplace equations; Linear systems; Microwave antennas; Microwave propagation; Microwave technology; Sparse matrices; Transmission line matrix methods; FEM; Helmholtz Equation; Krylov subspace iterative method; preconditioning technique;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, 2007 International Symposium on

Conference_Location

Hangzhou

Print_ISBN

978-1-4244-1045-3

Electronic_ISBN

978-1-4244-1045-3

Type

conf

DOI

10.1109/MAPE.2007.4393757

Filename

4393757