A counterexample of the construction of \(C^ 1\)-rational finite element due to Wachspress (Q1179390)
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scientific article; zbMATH DE number 24502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample of the construction of \(C^ 1\)-rational finite element due to Wachspress |
scientific article; zbMATH DE number 24502 |
Statements
A counterexample of the construction of \(C^ 1\)-rational finite element due to Wachspress (English)
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26 June 1992
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The authors, following the construction demonstrated by \textit{E. L. Wachspress} [ibid. 22, No. 3, 11-16 (1991; reviewed below)] prove that the interpolants corresponding to two adjacent triangular elements for the approximation of degree two, with a special choice of the triangulation of the planar region, have not \(C^ 0\)-continuity.
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rational finite element
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counterexample
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rational approximation
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0.87404925
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0.8353313
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0.83137774
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0.82417303
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0.8175182
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