TREATING INHOMOGENEOUS ESSENTIAL BOUNDARY-CONDITIONS IN FINITE-ELEMENT METHODS AND THE CALCULATION OF BOUNDARY STRESSES

被引：52
作者：
GUNZBURGER, MD [1 ]
HOU, SL [1 ]
机构：
[1] YORK UNIV,DEPT MATH & STAT,N YORK M3J 1P3,ONTARIO,CANADA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 02期
关键词：
INHOMOGENEOUS BOUNDARY CONDITIONS; BOUNDARY STRESSES; FINITE ELEMENT METHODS;
D O I：
10.1137/0729024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Finite element approximations of the Stokes and Navier-Stokes equations with inhomogeneous essential boundary conditions are considered. Boundary conditions are enforced weakly by introducing Lagrange multipliers. Optimal error estimates, including some for the stress vector on the boundary, are derived under minimal regularity assumptions on the data. Particular attention is paid to the analysis of a practical choice of finite element spaces for which the Lagrange multiplier calculation uncouples from that for the velocity and pressure. The results are also applicable to general second-order elliptic systems.
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页码：390 / 424
页数：35
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