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

Mitsuhiro T. Nakao; Nobito Yamamoto; Yoshitaka Watanabe

doi:10.1016/S0377-0427(98)00035-1

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

Mitsuhiro T. Nakao, Nobito Yamamoto, Yoshitaka Watanabe

Advanced Computing Infrastructure Section

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7 Citations (Scopus)

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	https://doi.org/10.1016/S0377-0427(98)00035-1
Publication status	Published - Apr 24 1998

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/S0377-0427(98)00035-1

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