Convergence analysis for an exponentially fitted finite volume method (Q2707090)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence analysis for an exponentially fitted finite volume method |
scientific article |
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29 November 2001
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convergence
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finite volume method
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convection-diffusion problem
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Voronoi box
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exponential fitting
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Petrov-Galerkin finite element method
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Convergence analysis for an exponentially fitted finite volume method (English)
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Convergence analysis of a well-known cell-centered finite volume method (FVM) for a convection-diffusion problem in \({\mathcal R}^{2}\) is discussed. The FVM is based on Voronoi boxes and exponential fitting. A new nonconforming Petrov-Galerkin finite element method is used to prove the convergence of the FVM.
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