Abstract
We describe a method to estimate the guaranteed error hounds 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.
| Original language | English |
|---|---|
| Pages (from-to) | 137-158 |
| Number of pages | 22 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 91 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Apr 24 1998 |
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All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics
Cite this
A posteriori and constructive a priori error bounds for finite element solutions of the Stokes equations. / Nakao, Mitsuhiro T.; Yamamoto, Nobito; Watanabe, Yoshitaka.
In: Journal of Computational and Applied Mathematics, Vol. 91, No. 1, 24.04.1998, p. 137-158.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A posteriori and constructive a priori error bounds for finite element solutions of the Stokes equations
AU - Nakao, Mitsuhiro T.
AU - Yamamoto, Nobito
AU - Watanabe, Yoshitaka
PY - 1998/4/24
Y1 - 1998/4/24
N2 - We describe a method to estimate the guaranteed error hounds 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.
AB - We describe a method to estimate the guaranteed error hounds 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0032048339&partnerID=8YFLogxK
U2 - 10.1016/S0377-0427(98)00035-1
DO - 10.1016/S0377-0427(98)00035-1
M3 - Article
AN - SCOPUS:0032048339
VL - 91
SP - 137
EP - 158
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 1
ER -