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A finite element method for a biharmonic equation based on gradient recovery operators - MaRDI portal

A finite element method for a biharmonic equation based on gradient recovery operators (Q398629)

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scientific article; zbMATH DE number 6330856
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A finite element method for a biharmonic equation based on gradient recovery operators
scientific article; zbMATH DE number 6330856

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    A finite element method for a biharmonic equation based on gradient recovery operators (English)
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    15 August 2014
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    A new non-conforming finite element method is proposed for the approximation of the biharmonic equation with clamped boundary condition. The new formulation is based on a gradient recovery operator. Optimal a priori estimates are proved for the proposed approach. The approach is also extended to cover a singularly perturbed problem.
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    biharmonic equation
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    clamped boundary conditions
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    Strang's lemma
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    nonconforming method
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    a priory estimate
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    biorthogonal system
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    singular perturbation
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    finite element method
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    gradient recovery operator
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