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

Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation
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Year:    2012

Communications in Computational Physics, Vol. 11 (2012), Iss. 2 : pp. 383–399

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. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.121209.111010s

Communications in Computational Physics, Vol. 11 (2012), Iss. 2 : pp. 383–399

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:   

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