59 citations · 111 across the 16 of their papers we have counts for
16 papers
Optimal Control of Dynamic District Heating Networks
Christian Jäkle, Lena Reichle, Stefan Volkwein
In the present paper an optimal control problem for a system of differential-algebraic equations (DAEs) is considered. This problem arises in the dynamic optimization of unsteady d…
Modelling and Simulation of District Heating Networks
Christian Jäkle, Lena Reichle, Stefan Volkwein
In the present paper a detailed mathematical model is derived for district heating networks. After semidiscretization of the convective heat equation and introducing coupling condi…
Multiobjective Optimization of Non-Smooth PDE-Constrained Problems
Marco Bernreuther, Michael Dellnitz, Bennet Gebken +4
Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimizati…
Adaptive Parameter Optimization For An Elliptic-Parabolic System Using The Reduced-Basis Method With Hierarchical A-Posteriori Error Analysis
Behzad Azmi, Andrea Petrocchi, Stefan Volkwein
In this paper the authors study a non-linear elliptic-parabolic system, which is motivated by mathematical models for lithium-ion batteries. One state satisfies a parabolic reactio…
An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations
Marco Bernreuther, Stefan Volkwein
In this paper, a nonsmooth semilinear parabolic partial differential equation (PDE) is considered. For a reduced basis (RB) approach, a space-time formulation is used to develop a…
An MINLP Model for designing decentralized energy supply network
Carl Eggen, Thanh-Van Huynh, Moritz Link +2
In this report, a detailed description of an MINLP model for decentralized energy supply network optimization is given. This model includes the possibility of extending gas transmi…
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…
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…
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…
Model Order Reduction by Proper Orthogonal Decomposition
Carmen Gräßle, Michael Hinze, Stefan Volkwein
We provide an introduction to POD-MOR with focus on (nonlinear) parametric PDEs and (nonlinear) time-dependent PDEs, and PDE constrained optimization with POD surrogate models as a…
Optimal design of experiments for a lithium-ion cell: parameters identification of an isothermal single particle model with electrolyte dynamics
Andrea Pozzi, Gabriele Ciaramella, Stefan Volkwein +1
Advanced battery management systems rely on mathematical models to guarantee optimal functioning of Lithium-ion batteries. The Pseudo-Two Dimensional (P2D) model is a very detailed…
Error analysis for POD Approximations of infinite horizon problems via the Dynamic Programming approach
Alessandro Alla, Maurizio Falcone, Stefan Volkwein
In this paper infinite horizon optimal control problems for nonlinear high-dimensional dynamical systems are studied. Nonlinear feedback laws can be computed via the value function…
Asymptotic Stability of POD based Model Predictive Control for a semilinear parabolic PDE
Alessandro Alla, Stefan Volkwein
In this article a stabilizing feedback control is computed for a semilinear parabolic partial differential equation utilizing a nonlinear model predictive (NMPC) method. In each le…