Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations (Q2781510)
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scientific article; zbMATH DE number 1721511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations |
scientific article; zbMATH DE number 1721511 |
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20 March 2002
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finite volume methods
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\(L^p\) error estimates
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unstructured meshes
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convection-diffusion equations
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convergence
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discrete Sobolev inequalities
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Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations (English)
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The authors derive discrete Sobolev inequalities for piecewise constant functions which occur in finite volume solutions of steady convection-diffusion equations. The inequalities are then used to prove \(L^p\)-error estimates on the finite volume solution.
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