23 citations · 25 across the 7 of their papers we have counts for
7 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…
An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints
Gabriele Ciaramella, Luca Mechelli
In this work, a class of parabolic economic optimal control problems is considered. These problems are characterized by pointwise state constraints regularized by a parameter, whic…
On the effect of boundary conditions on the scalability of Schwarz methods
Gabriele Ciaramella, Luca Mechelli
In contrast with classical Schwarz theory, recent results have shown that for special domain geometries, one-level Schwarz methods can be scalable. This property has been proved fo…
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…
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…
A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained optimization
Tim Keil, Luca Mechelli, Mario Ohlberger +2
In this contribution we propose and rigorously analyze new variants of adaptive Trust-Region methods for parameter optimization with PDE constraints and bilateral parameter constra…