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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...
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03/28/2023
An optimally stable approximation of reactive transport using discrete test and infinite trial spaces
In this contribution we propose an optimally stable ultraweak Petrov-Gal...
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03/06/2023
Adaptive Localized Reduced Basis Methods for Large Scale Parameterized Systems
In this contribution, we introduce and numerically evaluate a certified ...
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02/28/2023
Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling
In the framework of reduced basis methods, we recently introduced a new ...
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03/18/2022
A relaxed localized trust-region reduced basis approach for optimization of multiscale problems
In this contribution, we introduce and analyze a new relaxed and localiz...
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03/11/2022
Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain
In many applications, for instance when describing dynamics of fluids or...
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03/03/2022
Adaptive machine learning based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery
In this contribution, we develop an efficient surrogate modeling framewo...
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10/30/2021
Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD
In this contribution we investigate in mathematical modeling and efficie...
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10/24/2021
An adaptive model hierarchy for data-augmented training of kernel models for reactive flow
We consider machine-learning of time-dependent quantities of interest de...
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05/04/2021
Model Reduction for Large Scale Systems
Projection based model order reduction has become a mature technique for...
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04/06/2021
A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows
We present an integrated approach for the use of simulated data from ful...
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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-...
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07/08/2020
A new coordinate-transformed discretization method for minimum entropy moment approximations of linear kinetic equations
In this contribution we derive and analyze a new numerical method for ki...
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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...
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11/04/2019
Exa-Dune – Flexible PDE Solvers, Numerical Methods and Applications
In the Exa-Dune project we have developed, implemented and optimised num...
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09/30/2019