Joint work with Max D. Gunzburger, School of Computational
Science, Florida State University.
Optimization problems constrained by partial differential equations
(PDEs) are particularly challenging from a computational point of
view: the first order necessary conditions for optimality lead to a
coupled system of PDEs. Specifically, for the solution of control
problems constrained by a parabolic PDE, one needs to solve a system
of PDEs coupled globally in time and space. For these,