59 citations · 111 across the 16 of their papers we have counts for
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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…
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…
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…
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…