Efficient solvers for multiharmonic eddy current optimal control problems with various constraints and their analysis (Q2841066)

Recently, the consideration of time-periodic optimal control problems attracted an increasing interest. The authors apply a multiharmonic nonstandard discretization method in time and combined with the finite element method to eddy current optimal control problems in a time-periodic setting. A new preconditioned MinRes solver is proposed for the saddle point problem arising from optimality conditions, which is robust with respect to the space and time discretization parameters. Control and state constraints are added to the Fourier coefficients of the control and state, respectively, and the robustness of the author's proposed solver is analyzed. Efficient implementation of the solver is discussed; numerical examples will be given in a forthcoming paper.