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

doi:10.1163/156939397X00062

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 journal › Article › peer-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 language	English (US)
Pages (from-to)	1389-1406
Number of pages	18
Journal	Journal of Electromagnetic Waves and Applications
Volume	11
Issue number	10
DOIs	https://doi.org/10.1163/156939397X00062
State	Published - 1997

ASJC Scopus subject areas

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

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10.1163/156939397X00062

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

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.",

author = "Zunoubi, {Mohammad R.} and Jin, {Jian Ming} and Chew, {Weng Cho} and David Kennedy",

note = "Funding Information: This work was supported by a grant from AFOSR via the MURI Program under contract number F49620-96-1-0025, the Office of Naval Research under grants N00014-95-1-0872 and N00014-95-1-0848, and the National Science Foundation under NSF ECS 93-02145 and ECS 94-57735.",

year = "1997",

doi = "10.1163/156939397X00062",

language = "English (US)",

volume = "11",

pages = "1389--1406",

journal = "Journal of Electromagnetic Waves and Applications",

issn = "0920-5071",

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T1 - A spectral lanczos decomposition method for solving axisymmetric low-frequency electromagnetic diffusion by the finite- element method

AU - Zunoubi, Mohammad R.

AU - Jin, Jian Ming

AU - Chew, Weng Cho

AU - Kennedy, David

N1 - Funding Information: This work was supported by a grant from AFOSR via the MURI Program under contract number F49620-96-1-0025, the Office of Naval Research under grants N00014-95-1-0872 and N00014-95-1-0848, and the National Science Foundation under NSF ECS 93-02145 and ECS 94-57735.

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

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

Abstract

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