131 citations · 545 across the 59 of their papers we have counts for
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Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry
Mario Ohlberger, Stephan Rave
In this contribution we present first results towards localized model order reduction for spatially resolved, three-dimensional lithium-ionbattery models. We introduce a localized…
Cross-Gramian-Based Model Reduction: A Comparison
Christian Himpe, Mario Ohlberger
As an alternative to the popular balanced truncation method, the cross Gramian matrix induces a class of balancing model reduction techniques. Besides the classical computation of…
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…
ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics
Andreas Buhr, Christian Engwer, Mario Ohlberger +1
The simulation method ArbiLoMod has the goal to provide users of Finite Element based simulation software with quick re-simulation after localized changes to the model under consid…
Localized Orthogonal Decomposition for two-scale Helmholtz-type problems
Mario Ohlberger, Barbara Verfürth
In this paper, we present a Localized Orthogonal Decomposition (LOD) in Petrov-Galerkin formulation for a two-scale Helmholtz-type problem. The two-scale problem is, for instance,…
A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast
Mario Ohlberger, Barbara Verfürth
In this paper, we suggest a new Heterogeneous Multiscale Method (HMM) for the Helmholtz equation with high contrast. The method is constructed for a setting as in Bouchitté and Fel…
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…