A fast direct solver for high frequency scattering from a large cavity in two dimensions
Numerical Analysis
2014-04-15 v1 Numerical Analysis
Abstract
We present a fast direct solver for the simulation of electromagnetic scattering from an arbitrarily-shaped, large, empty cavity embedded in an infinite perfectly conducting half space. The governing Maxwell equations are reformulated as a well-conditioned second kind integral equation and the resulting linear system is solved in nearly linear time using a hierarchical matrix factorization technique. We illustrate the performance of the scheme with several numerical examples for complex cavity shapes over a wide range of frequencies.
Cite
@article{arxiv.1404.3451,
title = {A fast direct solver for high frequency scattering from a large cavity in two dimensions},
author = {Jun Lai and Sivaram Ambikasaran and Leslie F. Greengard},
journal= {arXiv preprint arXiv:1404.3451},
year = {2014}
}
Comments
15 pages, 9 figures. Contact author for animation