A Full Discrete Stabilized Method for the Optimal Control of the Unsteady Navier-Stokes Equations

A Full Discrete Stabilized Method for the Optimal Control of the Unsteady Navier-Stokes Equations

Year:    2018

Author:    Yanmei Qin, Gang Chen, Minfu Feng

Journal of Computational Mathematics, Vol. 36 (2018), Iss. 5 : pp. 718–738

Abstract

In this paper, a full discrete local projection stabilized (LPS) method is proposed to solve the optimal control problems of the unsteady Navier-Stokes equations with equal order elements. Convective effects and pressure are both stabilized by using the LPS method. A priori error estimates uniformly with respect to the Reynolds number are obtained, providing the true solutions are sufficiently smooth. Numerical experiments are implemented to illustrate and confirm our theoretical analysis.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1703-m2016-0693

Journal of Computational Mathematics, Vol. 36 (2018), Iss. 5 : pp. 718–738

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Optimal control Unsteady Navier-Stokes equations High Reynolds number Full discrete Local projection stabilization.

Author Details

Yanmei Qin

Gang Chen

Minfu Feng