High order Lagrange finite elements

被引：0

作者：

George, Paul Louis ^{[1
]}

Borouchaki, Houman ^{[2
,3
]}

机构：

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

[2] Univ Technol Troyes, Equipe ICD Gamma 3, INRIA, F-10010 Troyes, France

[3] Univ Technol Troyes, UTT, F-10010 Troyes, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2011年 / 349卷 / 15-16期

关键词：

D O I：

10.1016/j.crma.2011.07.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

There is a need for finite elements of degree 2 or more to solve various P.D.E. problems. This Note discusses the theoretical issues about Lagrange simplicial finite elements of arbitrary order and dimension. The purpose is to give the theoretical frame to be applied in actual cases (2 and 3 dimension, degree 2,3,...). We show how finite elements and Bezier patches are related and we deduce a validity condition. (C) 2011 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.

引用

页码：905 / 910

页数：6

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