Geodesic
A multigrid solver for control-constrained Navier-Stokes control problems
Muhammad Munir Butt1 ; Muhammad Munir Butt
1Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 261-277 
Muhammad Munir Butt; Muhammad Munir Butt. A multigrid solver for control-constrained Navier-Stokes control problems. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 261-277. http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a5/
@article{AMUC_2020_89_2_a5,
     author = {Muhammad Munir Butt and Muhammad Munir Butt},
     title = { A multigrid solver for control-constrained {Navier-Stokes} control problems},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {261--277},
     year = {2020},
     volume = {89},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a5/}
}
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Voir la notice de l'article provenant de la source Comenius University

A multigrid solver for velocity tracking type control problems constrained by stationary Navier-Stokes equations is presented. Finite difference discretization is used on staggered grids. On these grids, a full multigrid method with coarsening by a factor-of-three strategy is proposed. For smoothing scheme, a distributive Gauss-Seidel scheme is used for the state and adjoint variables and a gradient update step for the control variable is applied. Numerical results validate the efficiency of the proposed multigrid algorithm.