Variants of an explicit kernel-split panel-based Nystr\"om discretization scheme for Helmholtz boundary value problems
Numerical Analysis
2014-08-19 v3
Abstract
The incorporation of analytical kernel information is exploited in the construction of Nystr\"om discretization schemes for integral equations modeling planar Helmholtz boundary value problems. Splittings of kernels and matrices, coarse and fine grids, high-order polynomial interpolation, product integration performed on the fly, and iterative solution are some of the numerical techniques used to seek rapid and stable convergence of computed fields in the entire computational domain.
Cite
@article{arxiv.1311.6258,
title = {Variants of an explicit kernel-split panel-based Nystr\"om discretization scheme for Helmholtz boundary value problems},
author = {Johan Helsing and Anders Holst},
journal= {arXiv preprint arXiv:1311.6258},
year = {2014}
}
Comments
21 pages, 3 figures