131 citations · 545 across the 59 of their papers we have counts for
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Model Reduction for Complex Hyperbolic Networks
Christian Himpe, Mario Ohlberger
We recently introduced the joint gramian for combined state and parameter reduction [C. Himpe and M. Ohlberger. Cross-Gramian Based Combined State and Parameter Reduction for Large…
Adaptive Heterogeneous Multiscale Methods for immiscible two-phase flow in porous media
Patrick Henning, Mario Ohlberger, Ben Schweizer
In this contribution we present the first formulation of a heterogeneous multiscale method for an incompressible immiscible two-phase flow system with degenerate permeabilities. Th…
The method of freezing as a new tool for nonlinear reduced basis approximation of parameterized evolution equations
Mario Ohlberger, Stephan Rave
We present a new method for the nonlinear approximation of the solution manifolds of parameterized nonlinear evolution problems, in particular in hyperbolic regimes with moving dis…
Cross-Gramian-Based Combined State and Parameter Reduction for Large-Scale Control Systems
Christian Himpe, Mario Ohlberger
This work introduces the empirical cross gramian for multiple-input-multiple-output systems. The cross gramian is a tool for reducing the state space of control systems, which conj…
Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions
Heiko Berninger, Mario Ohlberger, Oliver Sander +1
We analytically and numerically analyze groundwater flow in a homogeneous soil described by the Richards equation, coupled to surface water represented by a set of ordinary differe…
A Unified Software Framework for Empirical Gramians
Christian Himpe, Mario Ohlberger
A common approach in model reduction is balanced truncation, which is based on gramian matrices classifiying certain attributes of states or parameters of a given dynamic system. I…