Main Article Content
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.
How to Cite
Butt, M. (2020). A multigrid solver for control-constrained Navier-Stokes control problems. Acta Mathematica Universitatis Comenianae, 89(2), 261-277. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1323/851