@Article{JCM-36-718, author = {Qin , YanmeiChen , 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 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 = {http://global-sci.org/intro/article_detail/jcm/12454.html} }