Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained

Authors

  • Haifeng Niu, Danping Yang & Jianwei Zhou

DOI:

https://doi.org/10.4208/cicp.OA-2017-0045

Keywords:

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

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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Published

2018-09-17

Issue

Vol. 24 No. 5 (2018)

Section

Articles