4 papers
A trust region reduced basis Pascoletti-Serafini algorithm for multi-objective PDE-constrained parameter optimization
Stefan Banholzer, Luca Mechelli, Stefan Volkwein
In the present paper non-convex multi-objective parameter optimization problems are considered which are governed by elliptic parametrized partial differential equations (PDEs). To…
Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy
Sabrina Casper, Doris H. Fuertinger, Peter Kotanko +3
This project is based on a mathematical model of erythropoiesis for anemia, which consists of five hyperbolic population equations describing the production of red blood cells unde…
Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation
Julian Andrej, Lars Grüne, Luca Mechelli +3
Motivated by an energy efficient building application, we want to optimize a quadratic cost functional subject to the Boussinesq approximation of the Navier-Stokes equations and to…
ROM-based multiobjective optimization of elliptic PDEs via numerical continuation
Stefan Banholzer, Bennet Gebken, Michael Dellnitz +2
Multiobjective optimization plays an increasingly important role in modern applications, where several objectives are often of equal importance. The task in multiobjective optimiza…