Stefan Volkwein | DeepAI

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Barbara Kaltenbacher
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∙ 09/14/2023

Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems

In this contribution, we are concerned with model order reduction in the...

0 Michael Kartmann, et al. ∙

∙ 07/24/2023

Adaptive Parameter Optimization For An Elliptic-Parabolic System Using The Reduced-Basis Method With Hierarchical A-Posteriori Error Analysis

In this paper the authors study a non-linear elliptic-parabolic system, ...

0 Behzad Azmi, et al. ∙

∙ 12/28/2022

An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations

In this paper, a nonsmooth semilinear parabolic partial differential equ...

0 Marco Bernreuther, et al. ∙

∙ 01/19/2022

A trust region reduced basis Pascoletti-Serafini algorithm for multi-objective PDE-constrained parameter optimization

In the present paper non-convex multi-objective parameter optimization p...

0 Stefan Banholzer, et al. ∙

∙ 06/22/2021

Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy

This project is based on a mathematical model of erythropoiesis for anem...

0 Sabrina Casper, et al. ∙

∙ 12/21/2020

An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization

In this contribution we device and analyze improved variants of the non-...

0 Stefan Banholzer, et al. ∙

∙ 06/16/2020

A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained optimization

In this contribution we propose and rigorously analyze new variants of a...

0 Tim Keil, et al. ∙

∙ 06/12/2019

Model Order Reduction by Proper Orthogonal Decomposition

We provide an introduction to POD-MOR with focus on (nonlinear) parametr...

0 Carmen Gräßle, et al. ∙

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