Acoustic scattering: high frequency boundary element methods and unified transform methods
Numerical Analysis
2014-10-23 v1
Abstract
We describe some recent advances in the numerical solution of acoustic scattering problems. A major focus of the paper is the efficient solution of high frequency scattering problems via hybrid numerical-asymptotic boundary element methods. We also make connections to the unified transform method due to A.S. Fokas and co-authors, analysing particular instances of this method, proposed by J.A. DeSanto and co-authors, for problems of acoustic scattering by diffraction gratings.
Cite
@article{arxiv.1410.6137,
title = {Acoustic scattering: high frequency boundary element methods and unified transform methods},
author = {Simon N. Chandler-Wilde and Stephen Langdon},
journal= {arXiv preprint arXiv:1410.6137},
year = {2014}
}
Comments
65 pages, 15 figures