1971SIAM Journal on Numerical AnalysisRequires access

The Direct Solution of the Discrete Poisson Equation on Irregular Regions

B.L. Buzbee, F. W. Dorr, J. A. George, G. H. Golub

Open publisher page 322 citations

Abstract

There are several very fast direct methods which can be used to solve the discrete Poisson equation on rectangular domains. We show that these methods can also be used to treat problems on irregular regions.

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What this paper is about

There are several very fast direct methods which can be used to solve the discrete Poisson equation on rectangular domains. We show that these methods can also be used to treat problems on irregular regions.

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OpenAlex reports 322 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

There are several very fast direct methods which can be used to solve the discrete Poisson equation on rectangular domains. We show that these methods can also be used to treat problems on irregular regions.

Key concepts: Discrete Poisson equation, Mathematics, Poisson's equation, Poisson distribution, Mathematical analysis, Applied mathematics, Uniqueness theorem for Poisson's equation, Partial differential equation

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