A novel, highly effective preconditioner for solving the finite element-boundary integral matrix equation of 3-D scattering

Author

Jian Liu ; Jian-Ming Jin

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA

Volume

4

fYear

2001

Firstpage

322

Abstract

We present an efficient finite element-boundary integral (FE-BI) solution. Instead of replacing the FE-BI system with the FE-ABC system and improving the solution through iteration, we use the finite element-absorbing boundary condition (FE-ABC) matrix as a preconditioner and then seek the solution using a Krylov subspace based method. Both mathematical analysis and numerical results are presented to show the high effectiveness of the preconditioner and the fast convergence of the iterative solution.

Keywords

boundary integral equations; convergence of numerical methods; electromagnetic wave absorption; electromagnetic wave scattering; finite element analysis; iterative methods; matrix algebra; 3D scattering; FE-ABC; Krylov subspace; convergence; finite element-absorbing boundary condition; finite element-boundary integral matrix equation; iterative solution; preconditioner; Boundary conditions; Computational complexity; Computational electromagnetics; Eigenvalues and eigenfunctions; Electromagnetic scattering; Finite element methods; Integral equations; Iterative methods; MLFMA; Sparse matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2001. IEEE

Conference_Location

Boston, MA, USA

Print_ISBN

0-7803-7070-8

Type

conf

DOI

10.1109/APS.2001.959463

Filename

959463