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.
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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.
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