Parameter Identification in Models With Sharp Phase Transitions
Constantin Christof, Christian Clason, Christian Meyer, Stephan Walther: Optimal Control of a Non-smooth Semilinear Elliptic Equation, Mathematical Control and Related Fields, 8(1), pp. 247-276, 2018 (SPP1962-020).
Christian Clason, Vu Huu Nhu, Arnd Rösch: Optimal Control of a Non-smooth Quasilinear Elliptic Equation (SPP1962-101, 12/2018, [bib])
Christian Clason, Yu Deng, Patrick Mehlitz, Uwe Prüfert: Optimal Control Problems with Control Complementarity Constraints (SPP1962-081, 10/2018, [bib])
Constantin Christof, Christian Clason, Christian Meyer, Stephan Walther: Optimal Control of a Non-smooth Semilinear Elliptic Equation (SPP1962-020, 05/2017, [bib])
Modeling, problem analysis, algorithm design and convergence analysisThe focus of this area is on the development and analysis of genuinely non-smooth models in the sciences in order to properly capture real-world effects and to avoid comprising smoothing approaches. In simulation and optimization this requires to advance set-valued analysis and the design of robust algorithms for non-smooth problems.
Incorporation of parameter dependencies and robustnessIn many applications the robustness of solutions with respect to a given parameter range (uncertainty set) is highly relevant. Correspondingly, in this research area of the SPP, bi- or multilevel optimization approaches will be studied in order to robustify problem solutions against uncertain parameters.
Project Related News
Dec 11, 2018 : New preprint submitted
Christian Clason submitted the preprint SPP1962-101, Optimal Control of a Non-smooth Quasilinear Elliptic Equation
Oct 09, 2018 : New preprint submitted
Patrick Mehlitz submitted the preprint SPP1962-081, Optimal Control Problems with Control Complementarity Constraints