BOUNDARY LAGRANGE MULTIPLIERS IN FINITE-ELEMENT METHODS - ERROR ANALYSIS IN NATURAL NORMS

被引：62

作者：

BARBOSA, HJC

HUGHES, TJR

机构：

[1] STANFORD UNIV,DEPT MECH ENGN,DIV APPL MECH,DURAND BLDG,STANFORD,CA 94305

[2] CONSELHO NACL PESQUISAS,NACL COMP CIENTIFICA LAB,BR-22290 RIO DE JANEIRO,BRAZIL

来源：

NUMERISCHE MATHEMATIK | 1992年 / 62卷 / 01期

关键词：

Mathematics Subject Classification (1991): 65N30;

D O I：

10.1007/BF01396217

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite element procedure for circumventing the Babuska-Brezzi condition in mixed formulations with Lagrange multipliers defined on the boundary is presented. Residual terms constructed from the Euler-Lagrange equations are added to the classical Galerkin formulation in order to attain coercivity in a mesh-dependent norm. Convergence is proven for the primal variable and the multiplier in the natural mesh-independent norm of the problem, generalizing results of a previous paper.

引用

页码：1 / 15

页数：15

共 9 条

[1] FINITE-ELEMENT METHOD WITH LAGRANGIAN MULTIPLIERS [J].