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A new family of mixed finite element spaces on a class of distorted hexahedra (Q2912253)

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scientific article; zbMATH DE number 6082531
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English
A new family of mixed finite element spaces on a class of distorted hexahedra
scientific article; zbMATH DE number 6082531

    Statements

    14 September 2012
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    mixed finite element method
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    optimal order
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    hexahedra
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    local post-processing technique
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    elliptic problem
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    A new family of mixed finite element spaces on a class of distorted hexahedra (English)
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    A new family of mixed finite element spaces for an elliptic problem on a domain partitioned by a class of distorted hexahedra is introduced. An optimal order of approximation for the velocity variable for all \(k\geq 0\) is shown. For the pressure variable, a local post-processing technique is suggested to obtain an optimal order.
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