131 citations · 545 across the 59 of their papers we have counts for
4 papers · 1 filter
A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs
B. Haasdonk, H. Kleikamp, M. Ohlberger +2
We present a new surrogate modeling technique for efficient approximation of input-output maps governed by parametrized PDEs. The model is hierarchical as it is built on a full ord…
Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain
Hendrik Kleikamp, Mario Ohlberger, Stephan Rave
In many applications, for instance when describing dynamics of fluids or gases, hyperbolic conservation laws arise naturally in the modeling of conserved quantities of a system, li…
Adaptive machine learning based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery
Tim Keil, Hendrik Kleikamp, Rolf J Lorentzen +2
In this contribution, we develop an efficient surrogate modeling framework for simulation-based optimization of enhanced oil recovery, where we particularly focus on polymer floodi…
A Relaxed Localized Trust-Region Reduced Basis Approach for Optimization of Multiscale Problems
Tim Keil, Mario Ohlberger
In this contribution, we are concerned with parameter optimization problems that are constrained by multiscale PDE state equations. As an efficient numerical solution approach for…