Mitsuhiro T. Nakao, Nobito Yamamoto and Yoshitaka Watanabe:

Guaranteed Error Bounds for the Finite Element Solutions of the
Stokes Problem,

*
Scientific Computing and Validated Numerics, Proceedings of
the International Symposium on Scientific Computing*, Computer
Arithmetic and Validated Numerics SCAN-95, held in Wuppertal,
Germany, September 26-29, 1995 (G. Alefeld, A. Frommer, B. Lang,
eds.), Mathematical Research, Volume 90, Akademie Verlag
(1996) pp.258-264.

We describe a method to estimate the guaranteed accuracy of the finite element solutions for the Stokes problem. 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 estimates are considered.

Furthermore, we will mention about the numerical verification method of the solution for the stationary Navier-Stokes equation incorporating with these error estimates. 7pages.

**
The publisher holds the copyright on this manuscript.
**

- PDF file(158,609bytes) "scan600.pdf"
- PostScript file(600dpi; 444,457bytes) "scan600.ps"
- PostScript file(400dpi; 329,102bytes) "scan400.ps"
- PostScript file compressed by gzip(600dpi; 118,301bytes) "scan600.ps.gz"
- PostScript file compressed by gzip(400dpi; 102,001bytes) "scan400.ps.gz"

[Back]