1 citations · 2 across the 4 of their papers we have counts for
4 papers
POD Suboptimal Control of Evolution Problems: Theory and Applications
Stefan Banholzer, Dennis Beermann, Luca Mechelli +1
The work is organized as follows. First an introduction is given in Chapter 1. In Chapter 2 we introduce the POD method in finite and infinite-dimensional Hilbert spaces and discus…
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…
An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization
Stefan Banholzer, Tim Keil, Luca Mechelli +3
In this contribution we device and analyze improved variants of the non-conforming dual approach for trust-region reduced basis (TR-RB) approximation of PDE-constrained parameter o…
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…