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Volume 11, Issue 2
Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation

Q. Chen, P. Monk, X. Wang & D. Weile

DOI: 10.4208/cicp.121209.111010s

Commun. Comput. Phys., 11 (2012), pp. 383-399.

Published online: 2012-12

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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. 

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@Article{CiCP-11-383, author = {Q. Chen, P. Monk, X. Wang and D. Weile}, title = {Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {2}, pages = {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. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.121209.111010s}, url = {http://global-sci.org/intro/article_detail/cicp/7368.html} }
TY - JOUR T1 - Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation AU - Q. Chen, P. Monk, X. Wang & D. Weile JO - Communications in Computational Physics VL - 2 SP - 383 EP - 399 PY - 2012 DA - 2012/12 SN - 11 DO - http://doi.org/10.4208/cicp.121209.111010s UR - https://global-sci.org/intro/article_detail/cicp/7368.html KW - AB -

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. 

Q. Chen, P. Monk, X. Wang and D. Weile. (2012). Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation. Communications in Computational Physics. 11 (2). 383-399. doi:10.4208/cicp.121209.111010s
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