Corpus ID: 237571604

Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects

@article{Stein2021QuadratureBF,
  title={Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects},
  author={David B. Stein and Alex H. Barnett},
  journal={ArXiv},
  year={2021},
  volume={abs/2109.08802}
}
Well-conditioned boundary integral methods for the solution of elliptic boundary value problems (BVPs) are powerful tools for static and dynamic physical simulations. When there are many close-to-touching boundaries (eg, in complex fluids) or when the solution is needed in the bulk, nearly-singular integrals must be evaluated at many targets. We show that precomputing a linear map from surface density to an effective source representation renders this task highly efficient, in the common case… Expand

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