ERROR ANALYSIS OF SOME GALERKIN LEAST-SQUARES METHODS FOR THE ELASTICITY EQUATIONS

被引：218

作者：

FRANCA, LP ^{[1
]}

STENBERG, R ^{[1
]}

机构：

[1] HELSINKI UNIV TECHNOL,FAC MECH ENGN,SF-02150 ESPOO,FINLAND

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 06期

关键词：

FINITE ELEMENT METHODS; ELASTICITY EQUATIONS; MIXED METHODS; GALERKIN LEAST SQUARES METHODS; STABILIZED METHODS;

D O I：

10.1137/0728084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The recent technique of stabilizing mixed finite element methods by augmenting the Galerkin formulation with least squares terms calculated separately on each element is considered. The error analysis is performed in a unified manner yielding improved results for some methods introduced earlier. In addition, a new formulation is introduced and analyzed.

引用

页码：1680 / 1697

页数：18

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