A posteriori error analysis of the time-dependent Stokes equations with mixed boundary conditions

被引：16

作者：

Bernardi, Christine ^{[1
,2
]}

Sayah, Toni

机构：

[1] CNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France

[2] Univ Paris 06, F-75252 Paris 05, France

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2015年 / 35卷 / 01期

关键词：

Stokes equations; mixed boundary conditions; finite element method; a posteriori analysis; VORTICITY-VELOCITY-PRESSURE; DOMAINS;

D O I：

10.1093/imanum/drt067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the time-dependent Stokes problem with mixed boundary conditions. The problem is discretized by the backward Euler's scheme in time and finite elements in space. We establish an optimal a posteriori error with two types of computable error indicators, the first one being linked to the time discretization and the second one to the space discretization.

引用

页码：179 / 198

页数：20

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