Superconvergence of tensor-product quadratic pentahedral elements for variable coefficient elliptic equations (Q2917717)

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scientific article; zbMATH DE number 6088965
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Superconvergence of tensor-product quadratic pentahedral elements for variable coefficient elliptic equations
scientific article; zbMATH DE number 6088965

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    1 October 2012
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    linear elliptic equations
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    3D Dirichlet problems
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    tensor-product quadratic pentahedral elements
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    convergence
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    variable coefficient
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    finite element
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    Superconvergence of tensor-product quadratic pentahedral elements for variable coefficient elliptic equations (English)
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    The author solves a Dirichlet problem attached to a 3D linear elliptic equation in divergence form, for a rectangular block domain. He claims a max norm result for the derivatives of its tensor-product quadratic pentahedral finite elements solution. Unfortunately the paper contains some unclear or incomplete statements.
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