A new finite difference representation for Poisson's equation on \(\mathbb R^3\) from a contour integral

DOI10.1016/j.amc.2010.10.017zbMath1207.65124OpenAlexW2030066770MaRDI QIDQ618048

Soyoung Ahn, Anour F. A. Dafa-Alla, Kyung-Won Hwang, Phil Su Kim

Publication date: 14 January 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.017

zbMATH Keywords

Poisson's equationboundary integral equationcontour integralsuperconvergencefinite differenceGreen's representation formula

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

The Poisson problem: a comparison between two approaches based on SPH method ⋮ A novel decomposition as a fast finite difference method for second derivatives

Cites Work

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• Conservative Finite-Difference Methods on General Grids
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• The Numerical Solution of Laplace's Equation

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