@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} }