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arXiv · 1310.4715

An explicit kernel-split panel-based Nystr\"om scheme for integral equations on axially symmetric surfaces

Johan Helsing·Anders Karlsson
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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.

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Johan Helsing, Anders Karlsson. 2013-10-17. An explicit kernel-split panel-based Nystr\"om scheme for integral equations on axially symmetric surfaces. https://doi.org/10.1016/j.jcp.2014.04.053

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