An observation on Korn's inequality for nonconforming finite element methods

被引：0

作者：

Mardal, KA

Winther, R

机构：

[1] Univ Oslo, Dept Comp Sci, Simula Res Lab, N-1325 Lysaker, Norway

[2] Univ Oslo, Dept Informat, N-1325 Lysaker, Norway

[3] Univ Oslo, Ctr Math Applicat, N-0316 Oslo, Norway

[4] Univ Oslo, Dept Informat, N-0316 Oslo, Norway

来源：

MATHEMATICS OF COMPUTATION | 2006年 / 75卷 / 253期

关键词：

Korn's inequality; piecewise H-1 vector fields; nonconforming finite elements;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By utilizing a simple observation on traces of rigid motions we are able to strengthen a result of Brenner (2004) on Korn's inequality for nonconforming finite element methods. The approach here is tightly connected to the theory developed in Brenner's work. Our motivation for the analysis was the desire to show that a robust Darcy-Stokes element satisfies Korn's inequality, and to achieve this the stronger result seems necessary.

引用

页码：1 / 6

页数：6

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