Finite Element Analysis of Optimal Control Problem Governed by Stokes Equations with $L^2$-Norm State-Constraints
Year: 2011
Journal of Computational Mathematics, Vol. 29 (2011), Iss. 5 : pp. 589–604
Abstract
An optimal control problem governed by the Stokes equations with $L^2$-norm state constraints is studied. Finite element approximation is constructed. The optimality conditions of both the exact and discretized problems are discussed, and the a priori error estimates of the optimal order accuracy in $L^2$-norm and $H^1$-norm are given. Some numerical experiments are presented to verify the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1103-m3514
Journal of Computational Mathematics, Vol. 29 (2011), Iss. 5 : pp. 589–604
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Optimal control State constraints Stokes equations a priori error analysis.
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