\(C^0\)-nonconforming triangular prism elements for the three-dimensional fourth-order elliptic problem (Q1955919)
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scientific article; zbMATH DE number 6176964
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^0\)-nonconforming triangular prism elements for the three-dimensional fourth-order elliptic problem |
scientific article; zbMATH DE number 6176964 |
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\(C^0\)-nonconforming triangular prism elements for the three-dimensional fourth-order elliptic problem (English)
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19 June 2013
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Thanks to the use of bubble functions, two \(C^0\)-nonconforming triangular prism elements for a fourth-order elliptic problem in three dimensions are constructed. By the abstract convergence theorem of \textit{H. Chen} et al. [Numer. Math. 124, No. 1, 99--119 (2013; Zbl 1276.65078)], one element is proved to be of first order convergent and the other one is proved to be of second order convergent.
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fourth-order elliptic problem
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bubble functions
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\(C^0\)-nonconforming elements
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error estimates
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convergence
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