Pointwise supercloseness of the displacement for tensor-product quadratic pentahedral finite elements (Q452960)
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scientific article; zbMATH DE number 6083652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pointwise supercloseness of the displacement for tensor-product quadratic pentahedral finite elements |
scientific article; zbMATH DE number 6083652 |
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Pointwise supercloseness of the displacement for tensor-product quadratic pentahedral finite elements (English)
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18 September 2012
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A weak estimate of the second type for tensor-product quadratic pentahedral finite elements over uniform partitions of the domain for the Poisson equation is derived. Combining with an estimate for the \(W^{2,1}\)-seminorm of the discrete Green's function, pointwise supercloseness of the displacement between the finite element approximation and the interpolant to the true solution is provided.
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pointwise supercloseness
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displacement
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tensor-product quadratic pentahedral finite elements
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discrete Green's function
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error estimate
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Poisson equation
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