Spectral Lanczos decomposition method for efficient time-domain and frequency-domain finite-element solution of Maxwell's equations

Mohammad Zunoubi, Jian Ming Jin, Kalyan Donepudi, Weng Chow Chew

Research output: Contribution to conferencePaper

Abstract

An efficient three-dimensional solver that combines the spectral Lanczos decomposition method (SLDM) and the finite-element method (FEM) is described for the solution of Maxwell's equations in both time and frequency domains. The FEM based on Whitney forms is used to discretize Maxwell's equations and the resultant matrix equation is solved using the SLDM. Our technique is an implicit, unconditionally stable finite-element time- and frequency-domain scheme that requires the implementation of the Lanczos process only at the largest frequency or time of interest. Therefore, a multiple time- and frequency-domain analysis of the electromagnetic fields is performed with minimal amount of extra computing time. We illustrate the efficiency, validity, and accuracy of this new method by considering numerical examples of an air-filled and a partially-loaded lossy dielectric cavity.

Original languageEnglish (US)
Pages712-720
Number of pages9
StatePublished - Jan 1 1998
EventProceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2) - Monterey, CA, USA
Duration: Mar 16 1998Mar 20 1998

Other

OtherProceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2)
CityMonterey, CA, USA
Period3/16/983/20/98

Fingerprint

Maxwell equations
Decomposition
Finite element method
Frequency domain analysis
Time domain analysis
Electromagnetic fields
Air

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Zunoubi, M., Jin, J. M., Donepudi, K., & Chew, W. C. (1998). Spectral Lanczos decomposition method for efficient time-domain and frequency-domain finite-element solution of Maxwell's equations. 712-720. Paper presented at Proceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2), Monterey, CA, USA, .

Spectral Lanczos decomposition method for efficient time-domain and frequency-domain finite-element solution of Maxwell's equations. / Zunoubi, Mohammad; Jin, Jian Ming; Donepudi, Kalyan; Chew, Weng Chow.

1998. 712-720 Paper presented at Proceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2), Monterey, CA, USA, .

Research output: Contribution to conferencePaper

Zunoubi, M, Jin, JM, Donepudi, K & Chew, WC 1998, 'Spectral Lanczos decomposition method for efficient time-domain and frequency-domain finite-element solution of Maxwell's equations' Paper presented at Proceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2), Monterey, CA, USA, 3/16/98 - 3/20/98, pp. 712-720.
Zunoubi M, Jin JM, Donepudi K, Chew WC. Spectral Lanczos decomposition method for efficient time-domain and frequency-domain finite-element solution of Maxwell's equations. 1998. Paper presented at Proceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2), Monterey, CA, USA, .
Zunoubi, Mohammad ; Jin, Jian Ming ; Donepudi, Kalyan ; Chew, Weng Chow. / Spectral Lanczos decomposition method for efficient time-domain and frequency-domain finite-element solution of Maxwell's equations. Paper presented at Proceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2), Monterey, CA, USA, .9 p.
@conference{b37c6a49a6304702aad333df6b01cee4,
title = "Spectral Lanczos decomposition method for efficient time-domain and frequency-domain finite-element solution of Maxwell's equations",
abstract = "An efficient three-dimensional solver that combines the spectral Lanczos decomposition method (SLDM) and the finite-element method (FEM) is described for the solution of Maxwell's equations in both time and frequency domains. The FEM based on Whitney forms is used to discretize Maxwell's equations and the resultant matrix equation is solved using the SLDM. Our technique is an implicit, unconditionally stable finite-element time- and frequency-domain scheme that requires the implementation of the Lanczos process only at the largest frequency or time of interest. Therefore, a multiple time- and frequency-domain analysis of the electromagnetic fields is performed with minimal amount of extra computing time. We illustrate the efficiency, validity, and accuracy of this new method by considering numerical examples of an air-filled and a partially-loaded lossy dielectric cavity.",
author = "Mohammad Zunoubi and Jin, {Jian Ming} and Kalyan Donepudi and Chew, {Weng Chow}",
year = "1998",
month = "1",
day = "1",
language = "English (US)",
pages = "712--720",
note = "Proceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2) ; Conference date: 16-03-1998 Through 20-03-1998",

}

TY - CONF

T1 - Spectral Lanczos decomposition method for efficient time-domain and frequency-domain finite-element solution of Maxwell's equations

AU - Zunoubi, Mohammad

AU - Jin, Jian Ming

AU - Donepudi, Kalyan

AU - Chew, Weng Chow

PY - 1998/1/1

Y1 - 1998/1/1

N2 - An efficient three-dimensional solver that combines the spectral Lanczos decomposition method (SLDM) and the finite-element method (FEM) is described for the solution of Maxwell's equations in both time and frequency domains. The FEM based on Whitney forms is used to discretize Maxwell's equations and the resultant matrix equation is solved using the SLDM. Our technique is an implicit, unconditionally stable finite-element time- and frequency-domain scheme that requires the implementation of the Lanczos process only at the largest frequency or time of interest. Therefore, a multiple time- and frequency-domain analysis of the electromagnetic fields is performed with minimal amount of extra computing time. We illustrate the efficiency, validity, and accuracy of this new method by considering numerical examples of an air-filled and a partially-loaded lossy dielectric cavity.

AB - An efficient three-dimensional solver that combines the spectral Lanczos decomposition method (SLDM) and the finite-element method (FEM) is described for the solution of Maxwell's equations in both time and frequency domains. The FEM based on Whitney forms is used to discretize Maxwell's equations and the resultant matrix equation is solved using the SLDM. Our technique is an implicit, unconditionally stable finite-element time- and frequency-domain scheme that requires the implementation of the Lanczos process only at the largest frequency or time of interest. Therefore, a multiple time- and frequency-domain analysis of the electromagnetic fields is performed with minimal amount of extra computing time. We illustrate the efficiency, validity, and accuracy of this new method by considering numerical examples of an air-filled and a partially-loaded lossy dielectric cavity.

UR - http://www.scopus.com/inward/record.url?scp=0031702918&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031702918&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:0031702918

SP - 712

EP - 720

ER -