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.

引用

页码：1 / 15

页数：15

共 50 条

[1] BOUNDARY SUBSPACES FOR THE FINITE-ELEMENT METHOD WITH LAGRANGE MULTIPLIERS
PITKARANTA, J
NUMERISCHE MATHEMATIK, 1979, 33 (03) : 273 - 289
[2] Hierarchical a posteriori error estimators for mortar finite element methods with Lagrange multipliers
Wohlmuth, Barbara I.
SIAM Journal on Numerical Analysis, 36 (05): : 1636 - 1658
[3] Hierarchical A posteriori error estimators for mortar finite element methods with Lagrange multipliers
Wohlmuth, BI
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1999, 36 (05) : 1636 - 1658
[4] A POSTERIORI ERROR ESTIMATION FOR THE FINITE-ELEMENT AND BOUNDARY ELEMENT METHODS
RENCIS, JJ
UREKEW, TJ
JONG, KY
KIRK, R
FEDERICO, P
COMPUTERS & STRUCTURES, 1990, 37 (01) : 103 - 117
[5] THE FINITE-ELEMENT METHOD WITH LAGRANGE MULTIPLIERS FOR DOMAINS WITH CORNERS
PITKARANTA, J
MATHEMATICS OF COMPUTATION, 1981, 37 (155) : 13 - 30
[6] THE FINITE-ELEMENT METHOD WITH LAGRANGE MULTIPLIERS ON THE BOUNDARY - CIRCUMVENTING THE BABUSKA-BREZZI CONDITION
BARBOSA, HJC
HUGHES, TJR
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1991, 85 (01) : 109 - 128
[7] ANALYSIS OF FINITE-ELEMENT METHOD USING LAGRANGE MULTIPLIERS FOR STATIONARY STOKES EQUATIONS
FALK, RS
MATHEMATICS OF COMPUTATION, 1976, 30 (134) : 241 - 249
[8] EIGENVALUE APPROXIMATION BY THE FINITE-ELEMENT METHOD - METHOD OF LAGRANGE MULTIPLIERS
KOLATA, WG
MATHEMATICS OF COMPUTATION, 1979, 33 (145) : 63 - 76
[9] A CONFORMING FINITE-ELEMENT METHOD WITH LAGRANGE MULTIPLIERS FOR THE BIHARMONIC PROBLEM
PITKARANTA, J
RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS, 1980, 14 (03): : 309 - 324
[10] ERROR ANALYSIS FOR FINITE-ELEMENT METHODS FOR STEADY NATURAL-CONVECTION PROBLEMS
BOLAND, J
LAYTON, W
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1990, 11 (5-6) : 449 - 483

← 1 2 3 4 5 →