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

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 = {}, 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 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 & D. Weile. (2020). 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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