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

被引：63
|
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.
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页码：1 / 15
页数：15
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