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;
D O I：
暂无
中图分类号：
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.
引用
收藏
页码：271 / 292
页数：21
相关论文
共 50 条
  • [1] On the convexity of C1 surfaces associated with some quadrilateral finite elements
    Lorente-Pardo, J
    Sablonnière, P
    Serrano-Pérez, MC
    [J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2000, 13 (03) : 271 - 292
  • [2] A family of C1 quadrilateral finite elements
    Mario Kapl
    Giancarlo Sangalli
    Thomas Takacs
    [J]. Advances in Computational Mathematics, 2021, 47
  • [3] A family of C1 quadrilateral finite elements
    Kapl, Mario
    Sangalli, Giancarlo
    Takacs, Thomas
    [J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021, 47 (06)
  • [4] Some bivariate C1 spline finite elements
    Liu, HW
    Huang, WJ
    Cao, DQ
    [J]. CAD/GRAPHICS '2001: PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON COMPUTER AIDED DESIGN AND COMPUTER GRAPHICS, VOLS 1 AND 2, 2001, : 116 - 124
  • [5] SOME PLANE QUADRILATERAL HYBRID FINITE ELEMENTS
    COOK, RD
    ALABDULL.JK
    [J]. AIAA JOURNAL, 1969, 7 (11) : 2184 - &
  • [6] Some remarks on quadrilateral mixed finite elements
    Boffi, Daniele
    Gastaldi, Lucia
    [J]. COMPUTERS & STRUCTURES, 2009, 87 (11-12) : 751 - 757
  • [7] A hierarchic high-order c1 quadrilateral plate finite element
    Ferreira, L.J.F.
    Bittencourt, M.L.
    [J]. Civil-Comp Proceedings, 2014, 106
  • [8] Hierarchical p-version C1 finite elements on quadrilateral and triangular domains with curved boundaries and their applications to Kirchhoff plates
    Wu, Yang
    Xing, Yufeng
    Liu, Bo
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2019, 119 (03) : 177 - 207
  • [9] C1 conforming quadrilateral finite elements with complete second-order derivatives on vertices and its application to Kirchhoff plates
    Wu, Yang
    Xing, YuFeng
    Liu, Bo
    [J]. SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2020, 63 (06) : 1066 - 1084
  • [10] C1 conforming quadrilateral finite elements with complete second-order derivatives on vertices and its application to Kirchhoff plates
    Yang Wu
    YuFeng Xing
    Bo Liu
    [J]. Science China Technological Sciences, 2020, 63 : 1066 - 1084
12345