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

页码：271 / 292

页数：21

共 50 条

[31] Convexity of solutions and C1,1 estimates for fully nonlinear elliptic equations
Imbert, C
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2006, 85 (06): : 791 - 807
[32] Coupling finite elements of class C1 on composite curved meshes for second order elliptic problems
Bhole, Ashish
Guillard, Herve
Nkonga, Boniface
Rapetti, Francesca
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2024, 96 (02) : 209 - 230
[33] Two tetrahedral C1 cubic macro elements
Alfeld, Peter
Sorokina, Tatyana
[J]. JOURNAL OF APPROXIMATION THEORY, 2009, 157 (01) : 53 - 69
[34] STABLE BUNDLES WITH C1 = 0 ON RATIONAL SURFACES
ARTAMKIN, IV
[J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1990, 54 (02): : 231 - 246
[35] Transcriptional activator elements for curtovirus C1 expression reside in the 3′ coding region of ORF C1
Hur, Jingyung
Buckley, Kenneth J.
Lee, Sukchan
Davis, Keith R.
[J]. MOLECULES AND CELLS, 2007, 23 (01) : 80 - 87
[36] C1 macroelements in adaptive finite element methods
Stogner, Roy H.
Carey, Graham F.
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 70 (09) : 1076 - 1095
[37] C1 sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree
Gabrielides, Nikolaos C.
Sapidis, Nickolas S.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 343 : 662 - 707
[38] Angioedema associated with C1 inhibitor deficiency
Laurent, J
Guinnepain, MT
[J]. CLINICAL REVIEWS IN ALLERGY & IMMUNOLOGY, 1999, 17 (04) : 513 - 523
[39] Occipital Headache Associated with C1 Hypoplasia
Kok, Selman
Gonen, Murat
Ergun, Ahmet Cemil
Kaplan, Metin
[J]. TURKISH JOURNAL OF NEUROLOGY, 2021, 27 (03) : 356 - 357
[40] Generalization of the C1 TUBA plate finite elements to the geometrically exact Kirchhoff-Love shell model
Ivannikov, V.
Tiago, C.
Pimenta, P. M.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 294 : 210 - 244

← 1 2 3 4 5 →