Diagonally perturbed incomplete Cholesky preconditioned CG method for A-V formulation of FEM

Author

Jian, Zhu ; Rui, P.L. ; Chen, R.S. ; Ding, Y.H.

Author_Institution

Dept. of Commun. Eng., Nanjing Univ. of Sci. & Technol., China

Volume

3

fYear

2005

fDate

4-7 Dec. 2005

Abstract

In this paper, an A-V formulation employing edge-based finite elements for the vector potential A and node shape functions for the scalar potential V is utilized, and a diagonally perturbed incomplete Cholesky preconditioning scheme is applied to the conjugate gradient method (CG) for solving this large sparse A-V finite element system of equations. As compared with several other preconditioning techniques, the efficiency of the suggested approach.

Keywords

computational electromagnetics; conjugate gradient methods; finite element analysis; sparse matrices; waveguide theory; conjugate gradient method; diagonal perturbation; edge-based finite element method; incomplete Cholesky preconditioning scheme; large sparse A-V finite element method; node shape functions; scalar potentials; vector potentials; Boundary value problems; Character generation; Convergence of numerical methods; Finite element methods; Frequency; Gradient methods; Lead; Partial differential equations; Shape; Sparse matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference Proceedings, 2005. APMC 2005. Asia-Pacific Conference Proceedings

Print_ISBN

0-7803-9433-X

Type

conf

DOI

10.1109/APMC.2005.1606663

Filename

1606663