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 |
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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 |
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics