A spectral Lanczos decomposition method for solving 3-D low-frequency electromagnetic diffusion by the finite-element method

Author

Zunoubi, Mohammad R. ; Jin, Jian-Ming ; Donepudi, Kalyan C. ; Chew, Weng Cho

Author_Institution

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

Volume

47

Issue

2

fYear

1999

fDate

2/1/1999 12:00:00 AM

Firstpage

242

Lastpage

248

Abstract

A very efficient three-dimensional (3-D) solver for the diffusion of the electromagnetic fields in an inhomogeneous medium is described. The proposed method employs either the node-based or the edge-based finite-element method (FEM) to discretize Maxwell´s equations. The resultant matrix equation is solved by the spectral Lanczos decomposition method (SLDM), which is based on the Krylov subspace (Lanczos) approximation of the solution in the frequency domain. By analyzing some practical geophysical problems, it is shown that the SLDM is extremely fast and, furthermore, the electromagnetic fields at many frequencies can be evaluated by performing the SLDM iteration only at the lowest frequency

Keywords

Maxwell equations; approximation theory; electromagnetic fields; finite element analysis; frequency-domain analysis; inhomogeneous media; matrix algebra; 3D LF EM diffusion; 3D low-frequency electromagnetic diffusion; EM field diffusion; FEM; Krylov subspace approximation; Lanczos approximation; Maxwell´s equations; SLDM iteration; edge-based finite-element method; efficient 3D solver; electromagnetic fields; frequency domain; geophysical problems; inhomogeneous medium; matrix equation; node-based finite-element method; spectral Lanczos decomposition method; Conductivity; Electromagnetic analysis; Electromagnetic fields; Finite element methods; Frequency; Magnetic analysis; Magnetic fields; Matrix decomposition; Maxwell equations; Well logging;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.761063

Filename

761063