Thursday, November 4, 2010 - 10:45am - 11:30am
Angela Kunoth (Universität Paderborn)
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,
conventional time-stepping
Wednesday, November 3, 2010 - 3:00pm - 3:45pm
Rob Stevenson (Universiteit van Amsterdam)
In this talk, we give an overview of adaptive wavelet methods for solving operator equations. In particular, we will focus on the following topics: The application of these methods to time evolution problems as parabolic problems and the instationary Stokes system; the advantage of the application of tensor product wavelets and the role of anisotropic regularity; the construction of piecewise tensor product wavelet bases on general domains; the application of the adaptive scheme to singularly perturbed problems.
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