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20132026
most citedThe method of freezing as a new tool for nonlinear reduced basis approximation of parameterized evolution equations

131 citations · 545 across the 59 of their papers we have counts for

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Showing 2016 · math.NAShow all

6 papers · 2 filters

math.NA2016★ 4 cited

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…

math.NA2016★ 7 cited

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…

math.NA2016★ 6 cited

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…

math.NA2016★ 2 cited

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,…

math.NA2016★ 1 cited

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…

math.NA2016★ 16 cited

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…