Corpus ID: 190001198

An adaptive kernel-split quadrature method for parameter-dependent layer potentials

@article{Klinteberg2019AnAK,
  title={An adaptive kernel-split quadrature method for parameter-dependent layer potentials},
  author={Ludvig af Klinteberg and Fredrik Fryklund and Anna-Karin Tornberg},
  journal={ArXiv},
  year={2019},
  volume={abs/2108.00372}
}
Panel-based, kernel-split quadrature is currently one of the most efficient methods available for accurate evaluation of singular and nearly singular layer potentials in two dimensions. However, it can fail completely for the layer potentials belonging to the modified Helmholtz, biharmonic and Stokes equations. These equations depend on a parameter, denoted $\alpha$, and kernel-split quadrature loses its accuracy rapidly when this parameter grows beyond a certain threshold. The present report… Expand
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