Analysis of stabilized finite volume method for Poisson equation (Q2846825)
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scientific article; zbMATH DE number 6204334
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of stabilized finite volume method for Poisson equation |
scientific article; zbMATH DE number 6204334 |
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3 September 2013
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finite volume method
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Poisson equation
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projection method
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superconvergence
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optimal error estimates
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algorithm
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numerical experiments
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0.9116888
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0.9096358
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0.88905555
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0.8888082
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0.88852227
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Analysis of stabilized finite volume method for Poisson equation (English)
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This paper presents a theoretical study of the stabilized finite volume method for the Poisson equation on a planar domain with piecewise Lipschitz boundary. The authors introduce a new mixed variational formulation in order to derive optimal error estimates of the algorithm. By means of \(L^2\)-projection method the superconvergence of the algorithm is investigated. Various numerical experiments are also presented.
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