Asymptotic analysis for close evaluation of layer potentials

DOI10.1016/j.jcp.2017.11.015zbMath1380.65396arXiv1706.00129OpenAlexW2620783018MaRDI QIDQ1700896

Arnold D. Kim, Camille Carvalho, Shilpa Khatri

Publication date: 22 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00129

zbMATH Keywords

boundary integral equationsLaplace's equationlayer potentialsnearly singular integralsclose evaluations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (13)

Close evaluation of layer potentials in three dimensions ⋮ A robust solver for elliptic PDEs in 3D complex geometries ⋮ Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping ⋮ Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow ⋮ Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects ⋮ Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions ⋮ Regularized single and double layer integrals in 3D Stokes flow ⋮ Sharp Quadrature Error Bounds for the Nearest-Neighbor Discretization of the Regularized Stokeslet Boundary Integral Equation ⋮ Viscous transport in eroding porous media ⋮ Asymptotic Approximations for the Close Evaluation of Double-Layer Potentials ⋮ Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme ⋮ High-Order Close Evaluation of Laplace Layer Potentials: A Differential Geometric Approach ⋮ Quadrature by Parity Asymptotic eXpansions (QPAX) for Scattering by High Aspect Ratio Particles

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