P1-NONCONFORMING FINITE ELEMENTS ON TRIANGULATIONS INTO TRIANGLES AND QUADRILATERALS

被引：13

作者：

Altmann, R. ^{[1
]}

Carstensen, C. ^{[2
,3
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] Humboldt Univ, Inst Math, D-10099 Berlin, Germany

[3] Yonsei Univ, Dept Computat Sci & Engn, Seoul 120749, South Korea

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2012年 / 50卷 / 02期

关键词：

nonconforming finite elements; elliptic problems; a priori estimates;

D O I：

10.1137/110823675

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The P-1-nonconforming finite element is introduced for arbitrary triangulations into quadrilaterals and triangles of multiple connected Lipschitz domains. An explicit a priori analysis for the combination of the Park-Sheen and the Crouzeix-Raviart nonconforming finite element methods is given for second-order elliptic PDEs with inhomogeneous Dirichlet boundary conditions.

引用

页码：418 / 438

页数：21

共 11 条

[1]

[Anonymous], 1985, MONOGR STUD MATH

[2]

[Anonymous], 1960, Arch. Rational Mech. Anal., DOI DOI 10.1007/BF00252910

[3] An optimally convergent adaptive mixed finite element method [J].