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Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation

Published online by Cambridge University Press:  20 August 2015

Q. Chen ,
P. Monk ,
X. Wang  and
D. Weile
Q. Chen*
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
P. Monk*
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
X. Wang*
Affiliation:
Department of Electrical and Computer Engineering, University of Delaware, Newark, DE 19716, USA
D. Weile*
Affiliation:
Department of Electrical and Computer Engineering, University of Delaware, Newark, DE 19716, USA
*
Corresponding author.Email:qchen@math.udel.edu
Email address:monk@math.udel.edu
Email address:wang@udel.edu
Email address:weile@ee.udel.edu
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Abstract

We show how to apply convolution quadrature (CQ) to approximate the time domain electric field integral equation (EFIE) for electromagnetic scattering. By a suitable choice of CQ, we prove that the method is unconditionally stable and has the optimal order of convergence. Surprisingly, the resulting semi discrete EFIE is dispersive and dissipative, and we analyze this phenomena. Finally, we present numerical results supporting and extending our convergence analysis.

Keywords

65M3865M6065N1565R2078A45Electromagnetismscatteringtime-domainintegral equationEFIEconvolution quadraturemultistep method
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 2 , February 2012 , pp. 383 - 399
Copyright
Copyright © Global Science Press Limited 2012

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