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math.NA2019
An integral equation based numerical method for the forced heat equation on complex domains
Fredrik Fryklund, Mary Catherine A. Kropinski, Anna-Karin Tornberg
Integral equation based numerical methods are directly applicable to homogeneous elliptic PDEs, and offer the ability to solve these with high accuracy and speed on complex domains…
math.NA2019
An adaptive kernel-split quadrature method for parameter-dependent layer potentials
Fredrik Fryklund, Ludvig af Klinteberg, Anna-Karin Tornberg
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 dimens…