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.