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.
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页码：179 / 198
页数：20
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