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Mario Ohlberger
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- affiliation: University of Münster, Germany
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2020 – today
- 2024
- [j32]Christian Engwer
, Mario Ohlberger
Model Order Reduction of an Ultraweak and Optimally Stable Variational Formulation for Parametrized Reactive Transport Problems. SIAM J. Sci. Comput. 46(5): 3205- (2024) - [i26]Tim Keil, Mario Ohlberger, Felix Schindler, Julia Schleuß:
Local training and enrichment based on a residual localization strategy. CoRR abs/2404.16537 (2024) - [i25]Christian Engwer, Mario Ohlberger, Lukas Renelt
Construction of local reduced spaces for Friedrichs' systems via randomized training. CoRR abs/2404.18839 (2024) - [i24]Martin J. Gander, Mario Ohlberger, Stephan Rave:
A Parareal algorithm without Coarse Propagator? CoRR abs/2409.02673 (2024) - 2023
- [j31]Bernard Haasdonk, Hendrik Kleikamp
A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs. SIAM J. Sci. Comput. 45(3): 1039-1065 (2023) - [c9]Tim Keil, Mario Ohlberger, Felix Schindler:
Adaptive Localized Reduced Basis Methods for Large Scale PDE-Constrained Optimization. LSSC 2023: 108-116 - [c8]Tizian Wenzel, Bernard Haasdonk, Hendrik Kleikamp
Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling. LSSC 2023: 117-125 - [i23]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 abs/2302.14526 (2023) - [i22]Tim Keil, Mario Ohlberger, Felix Schindler:
Adaptive Localized Reduced Basis Methods for Large Scale Parameterized Systems. CoRR abs/2303.03074 (2023) - [i21]Lukas Renelt, Mario Ohlberger, Christian Engwer:
An optimally stable approximation of reactive transport using discrete test and infinite trial spaces. CoRR abs/2303.15943 (2023) - [i20]Michael Kartmann, Tim Keil, Mario Ohlberger, Stefan Volkwein, Barbara Kaltenbacher:
Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems. CoRR abs/2309.07627 (2023) - [i19]Christian Engwer, Mario Ohlberger, Lukas Renelt
Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems. CoRR abs/2310.19674 (2023) - 2022
- [j30]Tim Keil, Hendrik Kleikamp
Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. Adv. Comput. Math. 48(6): 73 (2022) - [i18]Tim Keil, Hendrik Kleikamp, Rolf J. Lorentzen, Micheal B. Oguntola
Adaptive machine learning based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. CoRR abs/2203.01674 (2022) - [i17]Hendrik Kleikamp, Mario Ohlberger, Stephan Rave:
Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain. CoRR abs/2203.05833 (2022) - [i16]Tim Keil, Mario Ohlberger:
A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. CoRR abs/2203.09964 (2022) - [i15]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 abs/2204.13454 (2022) - 2021
- [j29]Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier
The Dune framework: Basic concepts and recent developments. Comput. Math. Appl. 81: 75-112 (2021) - [c7]Tim Keil, Mario Ohlberger
Model Reduction for Large Scale Systems. LSSC 2021: 16-28 - [c6]Pavel Gavrilenko, Bernard Haasdonk, Oleg Iliev, Mario Ohlberger
A Full Order, Reduced Order and Machine Learning Model Pipeline for Efficient Prediction of Reactive Flows. LSSC 2021: 378-386 - [i14]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 abs/2104.02800 (2021) - [i13]Tim Keil, Mario Ohlberger:
Model Reduction for Large Scale Systems. CoRR abs/2105.01433 (2021) - [i12]Manuel Landstorfer, Mario Ohlberger, Stephan Rave, Marie Tacke:
A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells. CoRR abs/2110.06011 (2021) - [i11]Bernard Haasdonk, Mario Ohlberger, Felix Schindler:
An adaptive model hierarchy for data-augmented training of kernel models for reactive flow. CoRR abs/2110.12388 (2021) - [i10]Tobias Leibner, Maja Matis, Mario Ohlberger, Stephan Rave:
Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD. CoRR abs/2111.00129 (2021) - 2020
- [j28]Mario Ohlberger
Mathematical analysis of transmission properties of electromagnetic meta-materials. Networks Heterog. Media 15(1): 29-56 (2020) - [p3]Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, Jorrit Fahlke, René Fritze
Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications. Software for Exascale Computing 2020: 225-269 - [i9]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 abs/2006.09297 (2020) - [i8]Tobias Leibner, Mario Ohlberger:
A new coordinate-transformed discretization method for minimum entropy moment approximations of linear kinetic equations. CoRR abs/2007.04467 (2020) - [i7]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 abs/2012.11653 (2020)
2010 – 2019
- 2019
- [j27]Stefan Hain, Mario Ohlberger
A hierarchical a posteriori error estimator for the Reduced Basis Method. Adv. Comput. Math. 45(5): 2191-2214 (2019) - [j26]Julian Feinauer, Simon Hein
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: 172-184 (2019) - [i6]Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze
The DUNE Framework: Basic Concepts and Recent Developments. CoRR abs/1909.13672 (2019) - [i5]Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, Jorrit Fahlke, René Fritze
Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications. CoRR abs/1911.01492 (2019) - 2018
- [j25]Mario Ohlberger
A New Heterogeneous Multiscale Method for the Helmholtz Equation with High Contrast. Multiscale Model. Simul. 16(1): 385-411 (2018) - 2017
- [j24]Andreas Buhr, Christian Engwer, Mario Ohlberger
ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications. SIAM J. Sci. Comput. 39(4) (2017) - 2016
- [j23]Mario Ohlberger
Approximation of skewed interfaces with tensor-based model reduction procedures: Application to the reduced basis hierarchical model reduction approach. J. Comput. Phys. 321: 1185-1205 (2016) - [j22]Patrick Henning, Mario Ohlberger
A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations. SIAM J. Numer. Anal. 54(6): 3493-3522 (2016) - [p2]Peter Bastian, Christian Engwer, Jorrit Fahlke, Markus Geveler, Dominik Göddeke
Hardware-Based Efficiency Advances in the EXA-DUNE Project. Software for Exascale Computing 2016: 3-23 - [p1]Peter Bastian, Christian Engwer, Jorrit Fahlke, Markus Geveler, Dominik Göddeke
Advances Concerning Multiscale Methods and Uncertainty Quantification in EXA-DUNE. Software for Exascale Computing 2016: 25-43 - 2015
- [j21]Peter Benner
Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics. Adv. Comput. Math. 41(5): 955-960 (2015) - [j20]Christian Himpe
Data-driven combined state and parameter reduction for inverse problems. Adv. Comput. Math. 41(5): 1343-1364 (2015) - [j19]Mario Ohlberger
Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment. SIAM J. Sci. Comput. 37(6) (2015) - [c5]Mario Ohlberger
Model Reduction for Multiscale Lithium-Ion Battery Simulation. ENUMATH 2015: 317-331 - [c4]Jan Mohring
Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo. LSSC 2015: 145-152 - [i4]Christian Himpe, Mario Ohlberger:
A Note on the Cross Gramian for Non-Symmetric Systems. CoRR abs/1501.05519 (2015) - 2014
- [j18]Patrick Henning, Mario Ohlberger
An Adaptive Multiscale Finite Element Method. Multiscale Model. Simul. 12(3): 1078-1107 (2014) - [j17]Mario Ohlberger
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) - [c3]Christian Himpe
Model reduction for complex hyperbolic networks. ECC 2014: 2739-2743 - [c2]Peter Bastian, Christian Engwer, Dominik Göddeke
EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications. Euro-Par Workshops (2) 2014: 530-541 - [i3]Mario Ohlberger, Kathrin Smetana:
Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach. CoRR abs/1406.7426 (2014) - 2013
- [i2]Christian Himpe, Mario Ohlberger:
A Unified Software Framework for Empirical Gramians. CoRR abs/1301.6879 (2013) - [i1]Christian Himpe, Mario Ohlberger:
Cross-Gramian Based Combined State and Parameter Reduction. CoRR abs/1302.0634 (2013) - 2012
- [j16]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) - 2010
- [j15]Andreas Dedner, Robert Klöfkorn
A generic interface for parallel and adaptive discretization schemes: abstraction principles and the Dune-Fem module. Computing 90(3-4): 165-196 (2010) - [j14]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): 711-744 (2010) - [j13]Karol Mikula
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): 1527-1544 (2010)
2000 – 2009
- 2009
- [j12]Patrick Henning, Mario Ohlberger
The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. Numerische Mathematik 113(4): 601-629 (2009) - 2008
- [j11]Peter Bastian, Markus Blatt, Andreas Dedner, Christian Engwer
A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework. Computing 82(2-3): 103-119 (2008) - [j10]Peter Bastian, Markus Blatt, Andreas Dedner, Christian Engwer
A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE. Computing 82(2-3): 121-138 (2008) - 2007
- [j9]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): 514-538 (2007) - 2006
- [j8]Mario Ohlberger
Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method. Math. Comput. 75(253): 113-150 (2006) - 2005
- [j7]Mario Ohlberger
A Posteriori Error Estimates for the Heterogeneous Multiscale Finite Element Method for Elliptic Homogenization Problems. Multiscale Model. Simul. 4(1): 88-114 (2005) - 2003
- [j6]Bernard Haasdonk, Mario Ohlberger, Martin Rumpf
Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations. Computing 70(3): 181-204 (2003) - 2001
- [j5]Mario Ohlberger
A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations. Numerische Mathematik 87(4): 737-761 (2001) - 2000
- [j4]Dietmar Kröner, Mario Ohlberger:
A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions. Math. Comput. 69(229): 25-39 (2000)
1990 – 1999
- 1999
- [j3]Mario Ohlberger
Adaptive Projection Operators in Multiresolution Scientific Visualization. IEEE Trans. Vis. Comput. Graph. 5(1): 74-94 (1999) - [e1]Dietmar Kröner, Mario Ohlberger
An Introduction to Recent Developments in Theory and Numerics for Conservation Laws: Proceedings of the International School on Theory and Numerics for Conservation Laws, Freiburg/Littenweiler, Germany, October 20-24, 1997. Lecture Notes in Computational Science and Engineering 5, Springer 1999, ISBN 978-3-540-65081-2 [contents] - 1998
- [j2]Mario Ohlberger
Adaptive Projection Operators in Multiresolution Scientific Visualization. IEEE Trans. Vis. Comput. Graph. 4(4): 344-364 (1998) - 1997
- [j1]Mario Ohlberger
Hierarchical and Adaptive Visualization on Nested Grids. Computing 59(4): 365-385 (1997) - [c1]R. Neubauer, Mario Ohlberger, Martin Rumpf, R. Schwörer:
Efficient Visualization of Large - Scale Data on Hierarchical Meshes. Visualization in Scientific Computing 1997: 125-137
Coauthor Index
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