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
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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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