87 citations · 347 across the 20 of their papers we have counts for
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Local training and enrichment based on a residual localization strategy
Tim Keil, Mario Ohlberger, Felix Schindler +1
To efficiently tackle parametrized multi and/or large scale problems, we propose an adaptive localized model order reduction framework combining both local offline training and loc…
Adaptive Localized Reduced Basis Methods for Large Scale Parameterized Systems
Tim Keil, Mario Ohlberger, Felix Schindler
In this contribution, we introduce and numerically evaluate a certified and adaptive localized reduced basis method as a local model in a trust-region optimization method for param…
Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling
Tizian Wenzel, Bernard Haasdonk, Hendrik Kleikamp +2
In the framework of reduced basis methods, we recently introduced a new certified hierarchical and adaptive surrogate model, which can be used for efficient approximation of input-…
An adaptive model hierarchy for data-augmented training of kernel models for reactive flow
Bernard Haasdonk, Mario Ohlberger, Felix Schindler
We consider machine-learning of time-dependent quantities of interest derived from solution trajectories of parabolic partial differential equations. For large-scale or long-time i…
A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows
Pavel Gavrilenko, Bernard Haasdonk, Oleg Iliev +5
We present an integrated approach for the use of simulated data from full order discretization as well as projection-based Reduced Basis reduced order models for the training of ma…
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…
A locally conservative reduced flux reconstruction for elliptic problems
Stephan Rave, Felix Schindler
In the context of model order reduction of parametric elliptic problems, we present a methodology to reconstruct a conforming flux from a given reduced solution, that is locally co…
Localized model reduction for parameterized problems
Andreas Buhr, Laura Iapichino, Mario Ohlberger +3
In this contribution we present a survey of concepts in localized model order reduction methods for parameterized partial differential equations. The key concept of localized model…
True Error Control for the Localized Reduced Basis Method for Parabolic Problems
Mario Ohlberger, Stephan Rave, Felix Schindler
We present an abstract framework for a posteriori error estimation for approximations of scalar parabolic evolution equations, based on elliptic reconstruction techniques [10, 9, 3…
Model Reduction for Multiscale Lithium-Ion Battery Simulation
Mario Ohlberger, Stephan Rave, Felix Schindler
In this contribution we are concerned with efficient model reduction for multiscale problems arising in lithium-ion battery modeling with spatially resolved porous electrodes. We p…
Error control for the localized reduced basis multi-scale method with adaptive on-line enrichment
Mario Ohlberger, Felix Schindler
In this contribution we consider localized, robust and efficient a-posteriori error estimation of the localized reduced basis multi-scale (LRBMS) method for parametric elliptic pro…
A-posteriori error estimates for the localized reduced basis multi-scale method
Mario Ohlberger, Felix Schindler
We present a localized a-posteriori error estimate for the localized reduced basis multi-scale (LRBMS) method [Albrecht, Haasdonk, Kaulmann, Ohlberger (2012): The localized reduced…