On the convexity of \(C^1\) surfaces associated with some quadrilateral finite elements (Q1569748)
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scientific article; zbMATH DE number 1470922
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convexity of \(C^1\) surfaces associated with some quadrilateral finite elements |
scientific article; zbMATH DE number 1470922 |
Statements
On the convexity of \(C^1\) surfaces associated with some quadrilateral finite elements (English)
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9 July 2000
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The convexity property of two classical finite elements and of the associated piecewise polynomial \(C^{1}\) surfaces is analyzed. These are the piecewise cubic quadrilateral of \textit{G. Fraeijs de Veubeke} [Bending and stretching of plates, in: Conference on Matrix Methods in Structural Mechanics, Wright Patterson AFB, OH (1965)] and the piecewise quadratic rectangle of \textit{R. Sibson} and \textit{G. D. Thomson} [A seamed quadratic element for contouring, Comput. J. 24, 378-382 (1981)].
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Bernstein polynomials
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Bezier nets
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convexity
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triangular finite element
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quadrilateral finite element
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rectangular finite element
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0.89920723
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0.89462686
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0.8883549
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0.8865802
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0.8823546
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0.87798166
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0.87754107
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0.8768164
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0.87668264
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