A spectral lanczos decomposition method for solving axisymmetric low-frequency electromagnetic diffusion by the finite- element method

Mohammad R. Zunoubi, Jian Ming Jin, Weng Cho Chew, David Kennedy

Research output: Contribution to journalArticlepeer-review

Abstract

A new explicit axisymmetric solver for the diffusion of electro- magnetic fields in an inhomogeneous medium is described. The proposed method is based on the Krylov subspace (Lanczos) approximation of the solution in frequency domain. The finite-element method (FEM) is employed to discretize Maxwell's equations. It is shown that the spectral Lanczos decomposition method (SLDM) is extrernely fast. Furthermore, the electromagnetic fields at many frequencies can be evaluated by performing the SLDM iterations only at the lowest frequency. Analysis of some practical geophysical problems is included. A comparison is also made with the analytical results for a homogeneous medium.

Original languageEnglish (US)
Pages (from-to)1389-1406
Number of pages18
JournalJournal of Electromagnetic Waves and Applications
Volume11
Issue number10
DOIs
StatePublished - 1997

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Physics and Astronomy(all)
  • Electrical and Electronic Engineering

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