wesNum (west Switzerland for Numerics) – PDE constrained optimization

7-10 février 2017

Monica Bugenau, UniBas Jürgen Dölz, UniBas

Fredi Tröltzsch (Technische Universität Berlin), Arnd Rösch (Universität Duisburg-Essen), Stephan Schmidt (Universität Würzburg)

Partial differential equations are an integral part of simulation today, e.g. in engineering, medical systems, financial simulation, chemical or physical simulations and many more. In spite of having well-understood and efficient methods for solving partial differential equations (PDEs), the solution of problems with PDE constraints is still a challenging task. Among the problems encountered is the proof of existence of optimal solutions and the usually high number of solutions of the PDE needed. The insight gained from PDE constraint problems can then be used to increase the performance of many industrial processes, like the energy gain from burning coal, the modeling of new and safer cars or the next heart valve. Methods that are used in the context of PDE constrained optimization cover a vast field starting with methods for solving the PDEs, covering time stepping schemes and ending with handling the constraints imposed. The first part of this school will introduce the basic concepts of PDE constraint problems on a PhD level for students without prior knowledge. The second part will sketch some recent developments, giving the students a general idea for their own research.

Engelberg

Webpage of the school see here.

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