On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm

被引：5

作者：

Anjam, I. ^{[1
]}

Nokka, M. ^{[1
]}

Repin, S. I. ^{[2
]}

机构：

[1] Univ Jyvaskyla, Dept Math Informat Technol, FI-40014 Jyvaskyla, Finland

[2] VA Steklov Math Inst, RU-191024 St Petersburg, Russia

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2012年 / 27卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Navier Stokes equations - Error analysis - Approximation algorithms;

D O I：

10.1515/rnam-2012-0018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive computable a posteriori error bounds for approximations computed by the Uzawa algorithm for the generalized Stokes problem. We show that for each Uzawa iteration both the velocity error and the pressure error are bounded from above by a constant multiplied by the L-2-norm of the divergence of the velocity. The derivation of the estimates essentially uses a posteriori estimates of the functional type for the Stokes problem.

引用

页码：321 / 338

页数：18

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