Mitsuhiro T. Nakao, Nobito Yamamoto and Yoshitaka Watanabe:

A Posteriori and Constructive A Priori Error Bounds for Finite
Element Solutions of the Stokes Equations,

*Journal of Computational and Applied Mathematics*,
Vol.91 (1998) pp.137--158.

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. 18pages.

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