Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained
Year: 2018
Author: Haifeng Niu, Danping Yang, Jianwei Zhou
Communications in Computational Physics, Vol. 24 (2018), Iss. 5 : pp. 1477–1502
Abstract
A state-constrained optimal control problem governed by the stationary Navier-Stokes equations is studied. Finite element approximation is constructed, the optimal-order a priori H1-norm and L2-norm error estimates are given, for which the optimal state is a nonsingular solution of the Navier-Stokes equations to the optimal control.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2017-0045
Communications in Computational Physics, Vol. 24 (2018), Iss. 5 : pp. 1477–1502
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Optimal control state-constrained Navier-Stokes finite element error estimates.
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