A posteriori and constructive a priori error bounds for finite element solutions of the Stokes equations

被引：8
|
作者：
Nakao, MT
Yamamoto, N
Watanabe, Y
机构：
[1] Kyushu Univ 33, Grad Sch Math, Fukuoka 81281, Japan
[2] Kyushu Univ 33, Ctr Comp, Fukuoka 81281, Japan
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 91卷 / 01期
关键词：
Stokes equations; guaranteed error bounds; computable error;
D O I：
10.1016/S0377-0427(98)00035-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe a method to estimate the guaranteed error bounds of the finite element solutions for the Stokes problem in mathematically rigorous sense. We show that an a posteriori error can be computed by using the numerical estimates of a constant related to the so-called inf-sup condition for the continuous problem. Also a method to derive the constructive a priori error bounds are considered. Some numerical examples which confirm us the expected rate of convergence are presented. (C) 1998 Elsevier Science B.V. All rights reserved.
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页码：137 / 158
页数：22
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