Theory and Solution Methods for Generalized Nash Equilibrium Problems Governed by Networks of Nonlinear Hyperbolic Conservation Laws
No publications from this project yet.
Martin Brokate, Michael Ulbrich: Newton Differentiability of Convex Functions in Normed Spaces and of a Class of Operators (SPP1962-176, 09/2021, [bib])
Anne-Therese Rauls, Stefan Ulbrich: On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem (SPP1962-143, 08/2020, [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.
Realization of algorithms, adaptive discretization and model reductionAs the target applications of this SPP involve non-smooth structures and partial differential operators, the discretization of the associated problems and robust error estimation are important issues to be address, and proper model-reduction techniques need to be developed.
Project Related News
Sep 29, 2021 : New preprint submitted
Michael Ulbrich submitted the preprint SPP1962-176 Newton Differentiability of Convex Functions in Normed Spaces and of a Class of Operators.
Aug 14, 2020 : New preprint submitted
Anne-Therese Rauls submitted the preprint SPP1962-143 On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem.