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A uniformly accurate finite volume discretization for a convection-diffusion problem - MaRDI portal

A uniformly accurate finite volume discretization for a convection-diffusion problem (Q1866483)

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scientific article; zbMATH DE number 1893802
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A uniformly accurate finite volume discretization for a convection-diffusion problem
scientific article; zbMATH DE number 1893802

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    A uniformly accurate finite volume discretization for a convection-diffusion problem (English)
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    6 November 2003
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    A singularly perturbed convection-diffusion problem is discretized by an inverse-monotone finite volume method on Shishkin meshes. First-order convergence in a global energy norm and a mesh-dependent discrete energy norm is established no matter how small is the perturbation parameter.
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    convection-diffusion problems
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    finite volume methods
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    singular perturbation
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    Shishkin mesh
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    convergence
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