@Article{JCM-36-5, author = {Yanmei, Qin and Gang, Chen and Minfu, Feng}, 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 sufficiently 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 = {https://global-sci.com/article/84492/a-full-discrete-stabilized-method-for-the-optimal-control-of-the-unsteady-navier-stokes-equations} }