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Finite element methods for the Stokes problem in \({\mathbb{R}}^3\) - MaRDI portal

Finite element methods for the Stokes problem in \({\mathbb{R}}^3\) (Q1585532)

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scientific article; zbMATH DE number 1531186
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Finite element methods for the Stokes problem in \({\mathbb{R}}^3\)
scientific article; zbMATH DE number 1531186

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    Finite element methods for the Stokes problem in \({\mathbb{R}}^3\) (English)
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    16 November 2000
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    We show that the mixed finite element approximate scheme with pressure stabilization for the Stokes problem in \(\mathbb{R}^3\) is stable for some tetrahedral elements including the \(P^+_{k+1}- P_{k-1}\) element and the cross-grid \(P_{k+1}- P_{k-1}\) element, \(k\geq 2\).
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    mixed finite element method
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    stabilization
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    Stokes problem
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