An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces
arXiv:1310.4715 · doi:10.1016/j.jcp.2014.04.053
Abstract
A high-order accurate, explicit kernel-split, panel-based, Fourier-Nyström 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.
30 pages, 5 figures, errata corrected
References in corpus (3)
- A high-order Nystrom discretization scheme for boundary integral equations defined on rotationally symmetric surfaces
- An accurate boundary value problem solver applied to scattering from cylinders with corners
- Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems
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