A nonconforming quadrilateral element with maximal inf-sup constant (Q2874168)
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scientific article; zbMATH DE number 6251494
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nonconforming quadrilateral element with maximal inf-sup constant |
scientific article; zbMATH DE number 6251494 |
Statements
29 January 2014
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nonconforming finite elements
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quadrilateral
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Stokes system
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inf-sup condition
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computing time
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A nonconforming quadrilateral element with maximal inf-sup constant (English)
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In the context of the finite element approach to the Stokes system, the authors are concerned with the dependence of the inf-sup constant on the type of the nonconforming quadrilateral element involved in a specific approach. They introduce a new nonconforming element for quadrilateral meshes and claim that the corresponding inf-sup constant is maximal. Actually, they prove that this constant is at most larger or equal than that corresponding to the well known element of \textit{R. Rannacher} and \textit{S. Turek} [Numer. Methods Partial Differ. Equations 8, No. 2, 97--111 (1992; Zbl 0742.76051)]. However, it seems that using the new element some computing time is saved.
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