Rapid parallel evaluation of integrals in potential theory on general three-dimensional regions
type: Item
instance of: scholarly article
title: Rapid parallel evaluation of integrals in potential theory on general three-dimensional regions
zbMATH Open document ID: 0911.65016
published in: Journal of Computational Physics
publication date: 1998-12-08T00:00:00Z
review text: Computation of volume integrals whose kernel satisfies Laplace's equation by embedding the domain into a rectangular region and solving Poisson's equation inside and Laplace's equation outside. Sophisticated treatment of the singularities at the boundary points. The extension to similar surface integrals is discussed. Discussion of parallelization with fast Poisson solvers and presentation of some examples on an IBM SP. \(\copyright\) Academic Press.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 1212312
zbMATH Keywords: volume integrals
zbMATH Keywords: Poisson's equation
zbMATH Keywords: Laplace equation
zbMATH Keywords: singularities
zbMATH Keywords: surface integrals
zbMATH Keywords: parallelization
zbMATH Keywords: fast Poisson solvers
author: Anne Greenbaum
author: Anita Mayo
MaRDI profile type: Publication
full work available at URL: jcph.1998.6048
OpenAlex ID: W1965399207
cites work: The solution of Poisson's equation for isolated source distributions
cites work: Q4091368
cites work: QMR: A quasi-minimal residual method for non-Hermitian linear systems
cites work: A DECOMPOSITION FINITE DIFFERENCE METHOD FOR THE FOURTH ORDER ACCURATE SOLUTION OF POISSON'S EQUATION ON GENERAL REGIONS
cites work: Fast Parallel Iterative Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
cites work: The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
cites work: The rapid evaluation of volume integrals of potential theory on general regions
cites work: A fast Poisson solver for complex geometries
cites work: An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
cites work: Q3241404
cites work: Elementary differential geometry
cites work: Rapid solution of integral equations of classical potential theory
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Q3730979
DOI: 10.1006/JCPH.1998.6048
description: scientific article; zbMATH DE number 1212312