MIXED FINITE-ELEMENT APPROXIMATION OF THE STOKES PROBLEM .1. CONVERGENCE OF THE APPROXIMATE SOLUTIONS

被引：60
作者：
GLOWINSKI, R
PIRONNEAU, O
机构：
[1] Domaine de Voluceau, I.R.I.A.-Laboria, Le Chesnay, 78150, Rocquencourt
来源：
NUMERISCHE MATHEMATIK | 1979年 / 33卷 / 04期
关键词：
Subject Classifications: AMS(MOS): 65N30; CR:; 5.17;
D O I：
10.1007/BF01399323
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study in this paper a new mixed finite element approximation of the Stokes' problem in the velocity pressure formulation. This approximation which is based on a new variational principle allows the use of low order Lagrange elements and leads to optimal order of convergence for the velocity and the pressure. Iterative and direct methods for the solution of the approximate problems will be discussed in a forthcoming paper. © 1979 Springer-Verlag.
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页码：397 / 424
页数：28
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