A local regularization operator for triangular and quadrilateral finite elements

被引：152

作者：

Bernardi, C

Girault, V

机构：

[1] CNRS, Anal Numer Lab, F-75252 Paris 05, France

[2] Univ Paris 06, F-75252 Paris, France

[3] Indian Inst Sci, Bangalore 560012, Karnataka, India

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1998年 / 35卷 / 05期

关键词：

regularization operator; triangular finite elements; quadrilateral finite elements;

D O I：

10.1137/S0036142995293766

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops a local regularization operator on triangular or quadrilateral finite elements built on structured or unstructured meshes. This operator is a variant of the regularization operator of Clement; however, ours is constructed via a local projection in a reference domain. We prove in this paper that it has the same optimal approximation properties as the standard interpolation operator, and we present some applications.

引用

页码：1893 / 1916

页数：24

共 17 条

[11] Lions J.-P., 1970, PROBLEMES AUX LIMITE
[12] Necas J., 1967, Les methodes directes en theorie des equations elliptiques
[13] SCOTT LR, 1990, MATH COMPUT, V54, P483, DOI 10.1090/S0025-5718-1990-1011446-7
[14] A POSTERIORI ERROR ESTIMATORS FOR THE STOKES EQUATIONS
VERFURTH, R
[J]. NUMERISCHE MATHEMATIK, 1989, 55 (03) : 309 - 325
[15] Verfurth R., 1996, A review of a posteriori error estimation and adaptive-mesh-refinement techniques
[16] WIDLUND OB, 1986, NUMERICAL TECHNIQUES
[17] [No title captured]

← 1 2 →