131 citations · 282 across the 18 of their papers we have counts for
18 papers
Software package MaRDI Open Interfaces for improved interoperability in numerical optimization
Dmitry I. Kabanov, Stephan Rave, Mario Ohlberger
To address the challenges of interoperability in computational science, we present the latest updates to the software package MaRDI Open Interfaces. This software package aims to d…
MaRDI Open Interfaces for Interoperable Nonlinear Optimization
Dmitry I. Kabanov, Stephan Rave, Mario Ohlberger
MaRDI Open Interfaces is a software package that aims to improve interoperability in scientific computing, particularly, for nonlinear optimization. To this end, this package holds…
A Parareal Algorithm with Low-Rank Coarse Solvers
Martin J. Gander, Mario Ohlberger, Stephan Rave
We consider a new class of Parareal algorithms, which use ideas from localized reduced basis methods to construct the coarse solver from truncated SVD approximations of the transfe…
Improving Interoperability in Scientific Computing via MaRDI Open Interfaces
Dmitry I. Kabanov, Stephan Rave, Mario Ohlberger
MaRDI Open Interfaces is a software project aimed at improving reuse and interoperability in Scientific Computing by alleviating the difficulties of crossing boundaries between dif…
A Parareal algorithm without Coarse Propagator?
Martin J. Gander, Mario Ohlberger, Stephan Rave
The Parareal algorithm was invented in 2001 in order to parallelize the solution of evolution problems in the time direction. It is based on parallel fine time propagators called F…
Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain
Hendrik Kleikamp, Mario Ohlberger, Stephan Rave
In many applications, for instance when describing dynamics of fluids or gases, hyperbolic conservation laws arise naturally in the modeling of conserved quantities of a system, li…
Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD
Tobias Leibner, Maja Matis, Mario Ohlberger +1
In this contribution we investigate in mathematical modeling and efficient simulation of biological cells with a particular emphasis on effective modeling of structural properties…
Localized model reduction for parameterized problems
Andreas Buhr, Laura Iapichino, Mario Ohlberger +3
In this contribution we present a survey of concepts in localized model order reduction methods for parameterized partial differential equations. The key concept of localized model…
MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction
Julian Feinauer, Simon Hein, Stephan Rave +7
We present a simulation workflow for efficient investigations of the interplay between 3D lithium-ion electrode microstructures and electrochemical performance, with emphasis on li…
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…
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…
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…
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…
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 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…
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…
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…