An Efficient Robust Solver for Optimal Control Problems for the Stokes Equations in the Time-Harmonic Case
Dipl.-Ing. Wolfgang KrendlApril 9, 2013, 2 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 w and the control parameter a. Numerical examples are given which illustrate the theoretical results.