131 citations · 545 across the 59 of their papers we have counts for
6 papers · 1 filter
ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications
Andreas Buhr, Christian Engwer, Mario Ohlberger +1
Engineers manually optimizing a structure using Finite Element based simulation software often employ an iterative approach where in each iteration they change the structure slight…
Problem adapted Hierarchical Model Reduction for the Fokker-Planck equation
Julia Brunken, Tobias Leibner, Mario Ohlberger +1
In this paper we introduce a new hierarchical model reduction framework for the Fokker-Planck equation. We reduce the dimension of the equation by a truncated basis expansion in th…
Reduced Basis Methods: Success, Limitations and Future Challenges
Mario Ohlberger, Stephan Rave
Parametric model order reduction using reduced basis methods can be an effective tool for obtaining quickly solvable reduced order models of parametrized partial differential equat…
A new Heterogeneous Multiscale Method for time-harmonic Maxwell's equations based on divergence-regularization
Patrick Henning, Mario Ohlberger, Barbara Verfürth
In this paper, we suggest a new heterogeneous multiscale method (HMM) for the time-harmonic Maxwell equations in locally periodic media. The method is constructed by using a diverg…
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 Note on the Cross Gramian for Non-Symmetric Systems
Christian Himpe, Mario Ohlberger
The cross gramian matrix is a tool for model reduction and system identification, but it is only computable for square control systems. For symmetric systems the cross gramian poss…