High-Order Close Evaluation of Laplace Layer Potentials: A Differential Geometric Approach

DOI10.1137/21M1423051zbMath1492.65372arXiv2105.12683OpenAlexW3165730679WikidataQ115246857 ScholiaQ115246857MaRDI QIDQ5864691

Hai Zhu, Shravan Kumar Veerapaneni

Publication date: 8 June 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12683

zbMATH Keywords

harmonic polynomialspotential theorysingular integralshigh-order methodsexterior calculus

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary element methods applied to problems in fluid mechanics (76M15) Approximate quadratures (41A55) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

A fast, high-order scheme for evaluating volume potentials on complex 2D geometries via area-to-line integral conversion and domain mappings

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