An Efficient Robust Solver for Optimal Control Problems for the Stokes Equations in the Time-Harmonic Case

Dipl.-Ing. Wolfgang Krendl

June 18, 2013, 1:30 p.m. S2 059

In this talk we will construct a robust solver for the optimal control problem for the Stokes equation, in the time-harmonic case. The discretization of the corresponding optimality system leads to a large and sparse 8x8 block matrix in saddle point form. We use an iterative solver, more precisely, we apply the MINRES method. To gurantee efficiency, we constructed a preconditioner for the MINRES-method, which is robust with respect to the mesh size, the frequency $\omega$ and the control parameter $\alpha$. Numerical examples are given which illustrate the theoretical results.