131 citations · 545 across the 59 of their papers we have counts for
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A numerically stable a posteriori error estimator for reduced basis approximations of elliptic equations
Andreas Buhr, Christian Engwer, Mario Ohlberger +1
The Reduced Basis (RB) method is a well established method for the model order reduction of problems formulated as parametrized partial differential equations. One crucial requirem…
Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach
Mario Ohlberger, Kathrin Smetana
In this article we introduce a procedure, which allows to recover the potentially very good approximation properties of tensor-based model reduction procedures for the solution of…
The Localized Reduced Basis Multiscale method for two-phase flows in porous media
Sven Kaulmann, Bernd Flemisch, Bernard Haasdonk +2
In this work, we propose a novel model order reduction approach for two-phase flow in porous media by introducing a formulation in which the mobility, which realizes the coupling b…
A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries
Mario Ohlberger, Stephan Rave, Sebastian Schmidt +1
In order to achieve a better understanding of degradation processes in lithium-ion batteries, the modelling of cell dynamics at the mircometer scale is an important focus of curren…
Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes
Stefan Girke, Robert Klöfkorn, Mario Ohlberger
The compact Discontinuous Galerkin 2 (CDG2) method was successfully tested for elliptic problems, scalar convection-diffusion equations and compressible Navier-Stokes equations. In…
Data-Driven Combined State and Parameter Reduction for Extreme-Scale Inverse Problems
Christian Himpe, Mario Ohlberger
In this contribution we present an accelerated optimization-based approach for combined state and parameter reduction of a parametrized linear control system which is then used as…
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…
Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques
Kathrin Smetana, Mario Ohlberger
In this paper we extend the hierarchical model reduction framework based on reduced basis techniques for the application to nonlinear partial differential equations. The major new…