On the convexity of C1 surfaces associated with some quadrilateral finite elements

被引：0
|
作者：
J. Lorente‐Pardo
P. Sablonnière
M.C. Serrano‐Pérez
机构：
[1] Universidad de Granada,Departamento de Matemática Aplicada
[2] I.N.S.A. de Rennes,Laboratoire L.A.N.S.
来源：
Advances in Computational Mathematics | 2000年 / 13卷
关键词：
Bernstein polynomials; Bézier nets; convexity; triangular, quadrilateral and rectangular finite element; 65 D 05; 65 D 017;
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学科分类号：
摘要：
We analyse the convexity property of two classical finite elements and of the associated piecewise polynomial C1 surfaces. The first one is the piecewise cubic quadrilateral of Fraeijs de Veubeke. The second one is a piecewise quadratic rectangle introduced by Sibson and Thomson and generalized by Sablonnière and Zedek. In both cases, we first study the local problem and then we extend our results to the associated C1 surfaces.
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页码：271 / 292
页数：21
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