An explicit kernel-split panel-based Nystr\"om scheme for integral equations on axially symmetric surfaces
Numerical Analysis
2016-10-12 v4 Computational Physics
Abstract
A high-order accurate, explicit kernel-split, panel-based, Fourier-Nystr\"om discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains. Extensive incorporation of analytic information about singular integral kernels and on-the-fly computation of nearly singular quadrature rules allow for very high achievable accuracy, also in the evaluation of fields close to the boundary of the computational domain.
Cite
@article{arxiv.1310.4715,
title = {An explicit kernel-split panel-based Nystr\"om scheme for integral equations on axially symmetric surfaces},
author = {Johan Helsing and Anders Karlsson},
journal= {arXiv preprint arXiv:1310.4715},
year = {2016}
}
Comments
30 pages, 5 figures, errata corrected