On the Direct Solution of Poisson's Equation on a Non-uniform Grid

A direct method for the numerical solution of two- and three-dimensional Poisson equations on non-staggered and non-uniform grids is presented. The method is an extension of the method of matrix decomposition proposed by Buzbee et al. (SIAM J. Numer. Anal. 7 (1970)). Attention is focussed on the sol...

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Bibliographic Details
Published inJournal of computational physics Vol. 104; no. 1; pp. 93 - 98
Main Authors Babu, V., Korpela, Seppo A.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.01.1993
Elsevier
Subjects
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Physics
Neumann problem
Solution of equation
Grid pattern
Poisson equation
Two dimensional model
Numerical method
Boundary condition
Matrix decomposition
Algorithm
Three dimensional model
Numerical computation
Algorithm performance
Numerical solution
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ISSN0021-9991
1090-2716
DOI10.1006/jcph.1993.1011

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Summary:A direct method for the numerical solution of two- and three-dimensional Poisson equations on non-staggered and non-uniform grids is presented. The method is an extension of the method of matrix decomposition proposed by Buzbee et al. (SIAM J. Numer. Anal. 7 (1970)). Attention is focussed on the solution of the Poisson equation subject to Neumann boundary condition and details of the performance of the algorithm including operation counts are presented.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0021-9991
1090-2716
DOI:10.1006/jcph.1993.1011