Mario Ohlberger

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 35

Top Topics

Hierarchical Model

Constrained Optimization

Top Venues

Adv. Comput. Math.

SIAM J. Sci. Comput.

Publications

Christian Engwer, Mario Ohlberger, Lukas Renelt
Construction of local reduced spaces for Friedrichs' systems via randomized training. CoRR (2024)
Tim Keil, Mario Ohlberger, Felix Schindler, Julia Schleuß
Local training and enrichment based on a residual localization strategy. CoRR (2024)
Tim Keil, Mario Ohlberger, Felix Schindler
Adaptive Localized Reduced Basis Methods for Large Scale Parameterized Systems. CoRR (2023)
Lukas Renelt, Mario Ohlberger, Christian Engwer
An optimally stable approximation of reactive transport using discrete test and infinite trial spaces. CoRR (2023)
Michael Kartmann, Tim Keil, Mario Ohlberger, Stefan Volkwein, Barbara Kaltenbacher
Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems. CoRR (2023)
Tizian Wenzel, Bernard Haasdonk, Hendrik Kleikamp, Mario Ohlberger, Felix Schindler
Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling. LSSC (2023)
Tizian Wenzel, Bernard Haasdonk, Hendrik Kleikamp, Mario Ohlberger, Felix Schindler
Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling. CoRR (2023)
Christian Engwer, Mario Ohlberger, Lukas Renelt
Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems. CoRR (2023)
Bernard Haasdonk, Hendrik Kleikamp, Mario Ohlberger, Felix Schindler, Tizian Wenzel
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs. SIAM J. Sci. Comput. 45 (3) (2023)
Tim Keil, Mario Ohlberger, Felix Schindler
Adaptive Localized Reduced Basis Methods for Large Scale PDE-Constrained Optimization. LSSC (2023)
Tim Keil, Hendrik Kleikamp, Rolf J. Lorentzen, Micheal B. Oguntola, Mario Ohlberger
Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. Adv. Comput. Math. 48 (6) (2022)
Bernard Haasdonk, Hendrik Kleikamp, Mario Ohlberger, Felix Schindler, Tizian Wenzel
A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. CoRR (2022)
Tim Keil, Hendrik Kleikamp, Rolf J. Lorentzen, Micheal B. Oguntola, Mario Ohlberger
Adaptive machine learning based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. CoRR (2022)
Hendrik Kleikamp, Mario Ohlberger, Stephan Rave
Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain. CoRR (2022)
Tim Keil, Mario Ohlberger
A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. CoRR (2022)
Tim Keil, Mario Ohlberger
Model Reduction for Large Scale Systems. LSSC (2021)
Bernard Haasdonk, Mario Ohlberger, Felix Schindler
An adaptive model hierarchy for data-augmented training of kernel models for reactive flow. CoRR (2021)
Manuel Landstorfer, Mario Ohlberger, Stephan Rave, Marie Tacke
A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells. CoRR (2021)
Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Christoph Grüninger, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, Oliver Sander
The Dune framework: Basic concepts and recent developments. Comput. Math. Appl. 81 (2021)
Tobias Leibner, Maja Matis, Mario Ohlberger, Stephan Rave
Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD. CoRR (2021)
Tim Keil, Mario Ohlberger
Model Reduction for Large Scale Systems. CoRR (2021)
Pavel Gavrilenko, Bernard Haasdonk, Oleg Iliev, Mario Ohlberger, Felix Schindler, Pavel Toktaliev, Tizian Wenzel, Maha Youssef
A Full Order, Reduced Order and Machine Learning Model Pipeline for Efficient Prediction of Reactive Flows. LSSC (2021)
Pavel Gavrilenko, Bernard Haasdonk, Oleg Iliev, Mario Ohlberger, Felix Schindler, Pavel Toktaliev, Tizian Wenzel, Maha Youssef
A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. CoRR (2021)
Mario Ohlberger, Ben Schweizer, Maik Urban, Barbara Verfürth
Mathematical analysis of transmission properties of electromagnetic meta-materials. Networks Heterog. Media 15 (1) (2020)
Tobias Leibner, Mario Ohlberger
A new coordinate-transformed discretization method for minimum entropy moment approximations of linear kinetic equations. CoRR (2020)
Tim Keil, Luca Mechelli, Mario Ohlberger, Felix Schindler, Stefan Volkwein
A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained optimization. CoRR (2020)
Stefan Banholzer, Tim Keil, Luca Mechelli, Mario Ohlberger, Felix Schindler, Stefan Volkwein
An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. CoRR (2020)
Julian Feinauer, Simon Hein, Stephan Rave, Sebastian Schmidt, Daniel Westhoff, Jochen Zausch, Oleg Iliev, Arnulf Latz, Mario Ohlberger, Volker Schmidt
MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction. J. Comput. Sci. 31 (2019)
Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, Jorrit Fahlke, René Fritze, Markus Geveler, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Jan Mohring, Steffen Müthing, Mario Ohlberger, Dirk Ribbrock, Nikolay Shegunov, Stefan Turek
Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications. CoRR (2019)
Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, Oliver Sander
The DUNE Framework: Basic Concepts and Recent Developments. CoRR (2019)
Stefan Hain, Mario Ohlberger, Mladjan Radic, Karsten Urban
A hierarchical a posteriori error estimator for the Reduced Basis Method. Adv. Comput. Math. 45 (5) (2019)
Mario Ohlberger, Barbara Verfürth
A New Heterogeneous Multiscale Method for the Helmholtz Equation with High Contrast. Multiscale Model. Simul. 16 (1) (2018)
Andreas Buhr, Christian Engwer, Mario Ohlberger, Stephan Rave
ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications. SIAM J. Sci. Comput. 39 (4) (2017)
Patrick Henning, Mario Ohlberger, Barbara Verfürth
A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations. SIAM J. Numer. Anal. 54 (6) (2016)
Mario Ohlberger, Kathrin Smetana
Approximation of skewed interfaces with tensor-based model reduction procedures: Application to the reduced basis hierarchical model reduction approach. J. Comput. Phys. 321 (2016)
Christian Himpe, Mario Ohlberger
A Note on the Cross Gramian for Non-Symmetric Systems. CoRR (2015)
Mario Ohlberger, Stephan Rave, Felix Schindler
Model Reduction for Multiscale Lithium-Ion Battery Simulation. ENUMATH (2015)
Mario Ohlberger, Felix Schindler
Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment. SIAM J. Sci. Comput. 37 (6) (2015)
Jan Mohring, René Milk, Adrian Ngo, Ole Klein, Oleg Iliev, Mario Ohlberger, Peter Bastian
Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo. LSSC (2015)
Christian Himpe, Mario Ohlberger
Data-driven combined state and parameter reduction for inverse problems. Adv. Comput. Math. 41 (5) (2015)
Peter Benner, Mario Ohlberger, Anthony T. Patera, Gianluigi Rozza, Danny C. Sorensen, Karsten Urban
Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics. Adv. Comput. Math. 41 (5) (2015)
Patrick Henning, Mario Ohlberger, Ben Schweizer
An Adaptive Multiscale Finite Element Method. Multiscale Model. Simul. 12 (3) (2014)
Mario Ohlberger, Kathrin Smetana
Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach. CoRR (2014)
Christian Himpe, Mario Ohlberger
Model reduction for complex hyperbolic networks. ECC (2014)
Peter Bastian, Christian Engwer, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Mario Ohlberger, Stefan Turek, Jorrit Fahlke, Sven Kaulmann, Steffen Müthing, Dirk Ribbrock
EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications. Euro-Par Workshops (2) (2014)
Mario Ohlberger, Kathrin Smetana
A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction. SIAM J. Sci. Comput. 36 (2) (2014)
Christian Himpe, Mario Ohlberger
A Unified Software Framework for Empirical Gramians. CoRR (2013)
Christian Himpe, Mario Ohlberger
Cross-Gramian Based Combined State and Parameter Reduction CoRR (2013)
Martin Drohmann, Bernard Haasdonk, Mario Ohlberger
Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation. SIAM J. Sci. Comput. 34 (2) (2012)
Andreas Dedner, Robert Klöfkorn, Martin Nolte, Mario Ohlberger
A generic interface for parallel and adaptive discretization schemes: abstraction principles and the Dune-Fem module. Computing 90 (3-4) (2010)
Karol Mikula, Mario Ohlberger
A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach. SIAM J. Sci. Comput. 32 (3) (2010)
Patrick Henning, Mario Ohlberger
The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. Networks Heterog. Media 5 (4) (2010)
Patrick Henning, Mario Ohlberger
The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. Numerische Mathematik 113 (4) (2009)
Peter Bastian, Markus Blatt, Andreas Dedner, Christian Engwer, Robert Klöfkorn, Mario Ohlberger, Oliver Sander
A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework. Computing 82 (2-3) (2008)
Peter Bastian, Markus Blatt, Andreas Dedner, Christian Engwer, Robert Klöfkorn, Ralf Kornhuber, Mario Ohlberger, Oliver Sander
A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE. Computing 82 (2-3) (2008)
Andreas Dedner, Charalambos G. Makridakis, Mario Ohlberger
Error Control for a Class of Runge-Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws. SIAM J. Numer. Anal. 45 (2) (2007)
Mario Ohlberger, Julien Vovelle
Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method. Math. Comput. 75 (253) (2006)
Mario Ohlberger
A Posteriori Error Estimates for the Heterogeneous Multiscale Finite Element Method for Elliptic Homogenization Problems. Multiscale Model. Simul. 4 (1) (2005)
Bernard Haasdonk, Mario Ohlberger, Martin Rumpf, Alfred Schmidt, Kunibert G. Siebert
Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations. Computing 70 (3) (2003)
Mario Ohlberger
A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations. Numerische Mathematik 87 (4) (2001)
Dietmar Kröner, Mario Ohlberger
A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions. Math. Comput. 69 (229) (2000)
Mario Ohlberger, Martin Rumpf
Adaptive Projection Operators in Multiresolution Scientific Visualization. IEEE Trans. Vis. Comput. Graph. 5 (1) (1999)
Mario Ohlberger, Martin Rumpf
Adaptive Projection Operators in Multiresolution Scientific Visualization. IEEE Trans. Vis. Comput. Graph. 4 (4) (1998)
Mario Ohlberger, Martin Rumpf
Hierarchical and Adaptive Visualization on Nested Grids. Computing 59 (4) (1997)
R. Neubauer, Mario Ohlberger, Martin Rumpf, R. Schwörer
Efficient Visualization of Large - Scale Data on Hierarchical Meshes. Visualization in Scientific Computing (1997)