Volume 36, Issue 5
A Full Discrete Stabilized Method for the Optimal Control of the Unsteady Navier-Stokes Equations

Yanmei Qin, Gang Chen & Minfu Feng

J. Comp. Math., 36 (2018), pp. 718-738.

Published online: 2018-06

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  • 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 sufficient smooth. Numerical experiments are implemented to illustrate and confirm our theoretical analysis.

  • Keywords

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

  • AMS Subject Headings

49J20 49K20 65M12 65M60

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

qinyanmei0809@163.com (Yanmei Qin)

569615491@qq.com (Gang Chen)

fmf@wtjs.cn (Minfu Feng)

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@Article{JCM-36-718, author = {Qin , Yanmei and Chen , Gang and Feng , Minfu }, title = {A Full Discrete Stabilized Method for the Optimal Control of the Unsteady Navier-Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {2018}, volume = {36}, number = {5}, pages = {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 sufficient smooth. Numerical experiments are implemented to illustrate and confirm our theoretical analysis.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1703-m2016-0693}, url = {http://global-sci.org/intro/article_detail/jcm/12454.html} }
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