In the two lectures an introduction to PDE-constrained optimization is given. Exemplary, the techniques are described for linear elliptic and parabolic equations. First-order optimality conditions are derived. Then, these techniques are extended to more difficult problems including inequality constraints and nonlinearities. Furthermore, second-order methods for optimization are explained.

In the two lectures an introduction to PDE-constrained optimization is given. Exemplary, the techniques are described for linear elliptic and parabolic equations. First-order optimality conditions are derived. Then, these techniques are extended to more difficult problems including inequality constraints and nonlinearities. Furthermore, second-order methods for optimization are explained.