A node-centered local refinement algorithm for Poisson's equation in complex geometries

DOI10.1016/j.jcp.2004.04.022zbMath1059.65094OpenAlexW2127265832MaRDI QIDQ703435

Jean-Luc Vay, Phillip Colella, David P. Grote, Peter McCorquodale

Publication date: 11 January 2005

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

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc780851/

zbMATH Keywords

numerical examplesPoisson equationCartesian grid methodsAdaptive mesh refinementFinite difference methodsMultigrid methodsShortley-Weller extrapolation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

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• A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics
• A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
• Superconvergence of the Shortley-Weller approximation for Dirichlet problems
• A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
• The Numerical Solution of Laplace's Equation
• Analysis of the cell-centred finite volume method for the diffusion equation

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