The nonconforming virtual element method (Q2814662)

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scientific article; zbMATH DE number 6596747
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The nonconforming virtual element method
scientific article; zbMATH DE number 6596747

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    The nonconforming virtual element method (English)
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    22 June 2016
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    virtual element method
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    nonconforming method
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    Poisson equation
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    elliptic problems
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    unstructured meshes
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    comparison of methods
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    finite element method
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    error analysis
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    mimetic finite difference methods
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    numerical experiments
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    This paper deals with nonconforming virtual element method (VEM) for the approximation of second-order elliptic problems in two and three dimensions. The authors show that the proposed method contains the mimetic finite difference schemes. In contrast to the conforming VEM, this construction is done simultaneously for any dimension and any approximation order. The performance of the method in numerically solving the Poisson problem with constant and variable diffusion coefficients is presented.
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