GRK 1754:  Optimisation and Numerical Analysis for Partial Differential Equations with Non-smooth Structures

• Subject Area: Mathematics
• Term: from 2012 to 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 188264188

Many application problems coming from physics, chemistry, biology or engineering sciences are described by mathematical models involving partial differential equations (PDEs). Often such problems involve different kinds of non-smooth structures (singularities, interfaces, inequality constraints etc.). The mathematical treatment of the corresponding PDE-based models is crucial for the efficient solution of practical problems. There is a significant demand for highly qualified junior scientists with postgraduate education and experience in this area, in academia as well as in industry and commerce. The International Research Training Group intends to meet this demand. The major goals of the Research Training Group are: (1) transfer of cutting-edge research topics to the education of doctoral students, (2) development and investigation of novel methods in numerical treatment and optimisation for problems involving PDEs and possessing non-smooth structures. The Research Training Group is a joint project of the four universities Technische Universität München, Universität der Bundeswehr München, Karl-Franzens-Universität Graz and Technische Universität Graz. The institutions in Munich and Graz contribute to the joint research programme through their internationally visible scientific strengths in applied mathematics: the TU München has long-range experience in the analytical and numerical treatment of non-linear phenomena, whereas the institutes in Graz contribute their expertise in optimisation, variational calculus and numerical analysis. The combination of the expertise will result in high synergy effects, which shall be highlighted and exploited by this International Research Training Group. Methodological approaches ranging from adaptivity and non-smooth optimisation to the treatment of interfaces and shapes will enter in the research and study programme of the International Research Training Group.

• DFG Programme: International Research Training Groups
• International Connection: Austria
• Applicant Institution: Technische Universität München (TUM)
• Co-Applicant Institution: Universität der Bundeswehr München
• IRTG-Partner Institution: Karl-Franzens-Universität Graz; Technische Universität Graz
• Spokesperson: Professor Dr. Boris Vexler
• Cooperation Partners: Professor Dr. Kristian Bredies; Professor Dr. Klemens Andreas Fellner; Professor Dr. Wolfgang Ring; Professor Dr. Olaf Steinbach
• Participating Researchers: Professor Dr. Thomas Apel; Professor Dr. Folkmar Bornemann; Professor Dr. Martin Brokate; Professor Dr. Massimo Fornasier; Professor Dr. Gero Friesecke; Professor Dr. Michael Ulbrich; Professorin Dr. Elisabeth Ullmann; Professorin Dr. Barbara Wohlmuth
• IRTG-Partner: Spokesperson: Professor Dr. Karl Kunisch