Construction of tetrahedral meshes of degree two

被引：36

作者：

George, P. L. ^{[1
]}

Borouchaki, H. ^{[2
]}

机构：

[1] INRIA, Equipe Projet Gamma 3, Domaine Voluceau, F-78153 Le Chesnay, France

[2] Univ Technol Troyes, INRIA, Equipe ICD Gamma3, F-10010 Troyes, France

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2012年 / 90卷 / 09期

关键词：

P2; tetrahedron; 10-node tetrahedron; mesh; P2 finite element; Bezier curve; Bezier triangle; Bezier tetrahedron; high order simplex; H-P VERSION;

D O I：

10.1002/nme.3364

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

There is a need for finite elements of degree two or more to solve various PDE problems. This paper discusses a method to construct such meshes in the case of tetrahedral element of degree two. The first section of this paper returns to Bezier curves, Bezier triangles and then Bezier tetrahedra of degree two. The way in which a Bezier tetrahedron and a P2 finite element tetrahedron are related is introduced. A validity condition is then exhibited. Extension to arbitrary degree and dimension is given. A construction method is then proposed and demonstrated by means of various concrete application examples. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：1156 / 1182

页数：27

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