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Volume 24, Issue 5
Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained

Haifeng Niu, Danping Yang & Jianwei Zhou

DOI: 10.4208/cicp.OA-2017-0045

Commun. Comput. Phys., 24 (2018), pp. 1477-1502.

Published online: 2018-06

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  • 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.

  • Keywords

Optimal control, state-constrained, Navier-Stokes, finite element, error estimates.

  • AMS Subject Headings

68U01, 76D05, 90C90, 93C20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-24-1477, author = {Haifeng Niu, Danping Yang and Jianwei Zhou}, title = {Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained}, journal = {Communications in Computational Physics}, year = {2018}, volume = {24}, number = {5}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0045}, url = {http://global-sci.org/intro/article_detail/cicp/12486.html} }
TY - JOUR T1 - Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained AU - Haifeng Niu, Danping Yang & Jianwei Zhou JO - Communications in Computational Physics VL - 5 SP - 1477 EP - 1502 PY - 2018 DA - 2018/06 SN - 24 DO - http://doi.org/10.4208/cicp.OA-2017-0045 UR - https://global-sci.org/intro/article_detail/cicp/12486.html KW - Optimal control, state-constrained, Navier-Stokes, finite element, error estimates. AB -

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.

Haifeng Niu, Danping Yang and Jianwei Zhou. (2018). Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained. Communications in Computational Physics. 24 (5). 1477-1502. doi:10.4208/cicp.OA-2017-0045
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