Efficient Visualization of Large - Scale Data on Hierarchical Meshes. - R. Neubauer; Mario Ohlberger; Martin Rumpf; R. Schwörer (Visualization in Scientific Computing, 1997)

Hierarchical and Adaptive Visualization on Nested Grids. - Mario Ohlberger; Martin Rumpf (Computing, 1997)

Adaptive Projection Operators in Multiresolution Scientific Visualization. - Mario Ohlberger; Martin Rumpf (IEEE Trans. Vis. Comput. Graph., 1999)

A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions. - Dietmar Kröner; Mario Ohlberger (Math. Comput., 2000)

A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations. - Mario Ohlberger (Numerische Mathematik, 2001)

Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations. - Bernard Haasdonk; Mario Ohlberger; Martin Rumpf; Alfred Schmidt; Kunibert G. Siebert (Computing, 2003)

A Posteriori Error Estimates for the Heterogeneous Multiscale Finite Element Method for Elliptic Homogenization Problems. - Mario Ohlberger (Multiscale Model. Simul., 2005)

Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method. - Mario Ohlberger; Julien Vovelle (Math. Comput., 2006)

Error Control for a Class of Runge-Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws. - Andreas Dedner; Charalambos G. Makridakis; Mario Ohlberger (SIAM J. Numer. Anal., 2007)

A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE. - Peter Bastian; Markus Blatt; Andreas Dedner; Christian Engwer; Robert Klöfkorn; Ralf Kornhuber; Mario Ohlberger; Oliver Sander (Computing, 2008)

A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework. - Peter Bastian; Markus Blatt; Andreas Dedner; Christian Engwer; Robert Klöfkorn; Mario Ohlberger; Oliver Sander (Computing, 2008)

The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. - Patrick Henning; Mario Ohlberger (Numerische Mathematik, 2009)

A generic interface for parallel and adaptive discretization schemes: abstraction principles and the Dune-Fem module. - Andreas Dedner; Robert Klöfkorn; Martin Nolte; Mario Ohlberger (Computing, 2010)

The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. - Patrick Henning; Mario Ohlberger (Networks Heterog. Media, 2010)

A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach. - Karol Mikula; Mario Ohlberger (SIAM J. Sci. Comput., 2010)

Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation. - Martin Drohmann; Bernard Haasdonk; Mario Ohlberger (SIAM J. Sci. Comput., 2012)

A Unified Software Framework for Empirical Gramians. - Christian Himpe; Mario Ohlberger (CoRR, 2013)

Cross-Gramian Based Combined State and Parameter Reduction - Christian Himpe; Mario Ohlberger (CoRR, 2013)

Model reduction for complex hyperbolic networks. - Christian Himpe; Mario Ohlberger (ECC, 2014)

EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications. - Peter Bastian; Christian Engwer; Dominik Göddeke; Oleg Iliev 001; Olaf Ippisch; Mario Ohlberger; Stefan Turek; Jorrit Fahlke; Sven Kaulmann; Steffen Müthing; Dirk Ribbrock (Euro-Par Workshops (2), 2014)

An Adaptive Multiscale Finite Element Method. - Patrick Henning; Mario Ohlberger; Ben Schweizer (Multiscale Model. Simul., 2014)

A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction. - Mario Ohlberger; Kathrin Smetana (SIAM J. Sci. Comput., 2014)

Model Reduction for Multiscale Lithium-Ion Battery Simulation. - Mario Ohlberger; Stephan Rave; Felix Schindler (ENUMATH, 2015)

Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo. - Jan Mohring; René Milk; Adrian Ngo; Ole Klein; Oleg Iliev 001; Mario Ohlberger; Peter Bastian (LSSC, 2015)

Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics. - Peter Benner; Mario Ohlberger; Anthony T. Patera; Gianluigi Rozza; Danny C. Sorensen; Karsten Urban (Adv. Comput. Math., 2015)

Data-driven combined state and parameter reduction for inverse problems. - Christian Himpe; Mario Ohlberger (Adv. Comput. Math., 2015)

A Note on the Cross Gramian for Non-Symmetric Systems. - Christian Himpe; Mario Ohlberger (CoRR, 2015)

Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment. - Mario Ohlberger; Felix Schindler (SIAM J. Sci. Comput., 2015)

Approximation of skewed interfaces with tensor-based model reduction procedures: Application to the reduced basis hierarchical model reduction approach. - Mario Ohlberger; Kathrin Smetana (J. Comput. Phys., 2016)

A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations. - Patrick Henning; Mario Ohlberger; Barbara Verfürth (SIAM J. Numer. Anal., 2016)

Hardware-Based Efficiency Advances in the EXA-DUNE Project. - Peter Bastian; Christian Engwer; Jorrit Fahlke; Markus Geveler; Dominik Göddeke; Oleg P. Iliev; Olaf Ippisch; René Milk; Jan Mohring; Steffen Müthing; Mario Ohlberger; Dirk Ribbrock; et al. (Software for Exascale Computing, 2016)

Advances Concerning Multiscale Methods and Uncertainty Quantification in EXA-DUNE. - Peter Bastian; Christian Engwer; Jorrit Fahlke; Markus Geveler; Dominik Göddeke; Oleg P. Iliev; Olaf Ippisch; René Milk; Jan Mohring; Steffen Müthing; Mario Ohlberger; Dirk Ribbrock; et al. (Software for Exascale Computing, 2016)

ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications. - Andreas Buhr; Christian Engwer; Mario Ohlberger; Stephan Rave (SIAM J. Sci. Comput., 2017)

A New Heterogeneous Multiscale Method for the Helmholtz Equation with High Contrast. - Mario Ohlberger; Barbara Verfürth (Multiscale Model. Simul., 2018)

A hierarchical a posteriori error estimator for the Reduced Basis Method. - Stefan Hain; Mario Ohlberger; Mladjan Radic; Karsten Urban (Adv. Comput. Math., 2019)

The DUNE Framework: Basic Concepts and Recent Developments. - Peter Bastian; Markus Blatt; Andreas Dedner; Nils-Arne Dreier; Christian Engwer; René Fritze; Carsten Gräser; Dominic Kempf; Robert Klöfkorn; Mario Ohlberger; Oliver Sander (CoRR, 2019)

Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications. - Peter Bastian; Mirco Altenbernd; Nils-Arne Dreier; Christian Engwer; Jorrit Fahlke; René Fritze; Markus Geveler; Dominik Göddeke; Oleg Iliev 001; Olaf Ippisch; Jan Mohring; Steffen Müthing; et al. (CoRR, 2019)

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; Sebastian Schmidt; Daniel Westhoff; Jochen Zausch; Oleg Iliev 001; Arnulf Latz; Mario Ohlberger; Volker Schmidt (J. Comput. Sci., 2019)

A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained optimization. - Tim Keil; Luca Mechelli; Mario Ohlberger; Felix Schindler; Stefan Volkwein (CoRR, 2020)

A new coordinate-transformed discretization method for minimum entropy moment approximations of linear kinetic equations. - Tobias Leibner; Mario Ohlberger (CoRR, 2020)

An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. - Stefan Banholzer; Tim Keil; Luca Mechelli; Mario Ohlberger; Felix Schindler; Stefan Volkwein (CoRR, 2020)

Mathematical analysis of transmission properties of electromagnetic meta-materials. - Mario Ohlberger; Ben Schweizer; Maik Urban; Barbara Verfürth (Networks Heterog. Media, 2020)

Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications. - Peter Bastian; Mirco Altenbernd; Nils-Arne Dreier; Christian Engwer; Jorrit Fahlke; René Fritze; Markus Geveler; Dominik Göddeke; Oleg Iliev 001; Olaf Ippisch; Jan Mohring; Steffen Müthing; et al. (Software for Exascale Computing, 2020)

A Full Order, Reduced Order and Machine Learning Model Pipeline for Efficient Prediction of Reactive Flows. - Pavel Gavrilenko; Bernard Haasdonk; Oleg Iliev 001; Mario Ohlberger; Felix Schindler; Pavel Toktaliev; Tizian Wenzel; Maha Youssef (LSSC, 2021)

Model Reduction for Large Scale Systems. - Tim Keil; Mario Ohlberger (LSSC, 2021)

The Dune framework: Basic concepts and recent developments. - 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 (Comput. Math. Appl., 2021)

A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells. - Manuel Landstorfer; Mario Ohlberger; Stephan Rave; Marie Tacke (CoRR, 2021)

An adaptive model hierarchy for data-augmented training of kernel models for reactive flow. - Bernard Haasdonk; Mario Ohlberger; Felix Schindler (CoRR, 2021)

Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD. - Tobias Leibner; Maja Matis; Mario Ohlberger; Stephan Rave (CoRR, 2021)

Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. - Tim Keil; Hendrik Kleikamp; Rolf J. Lorentzen; Micheal B. Oguntola; Mario Ohlberger (Adv. Comput. Math., 2022)

Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain. - Hendrik Kleikamp; Mario Ohlberger; Stephan Rave (CoRR, 2022)

A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. - Tim Keil; Mario Ohlberger (CoRR, 2022)

Adaptive Localized Reduced Basis Methods for Large Scale PDE-Constrained Optimization. - Tim Keil; Mario Ohlberger; Felix Schindler (LSSC, 2023)

Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling. - Tizian Wenzel; Bernard Haasdonk; Hendrik Kleikamp; Mario Ohlberger; Felix Schindler (LSSC, 2023)

Adaptive Localized Reduced Basis Methods for Large Scale Parameterized Systems. - Tim Keil; Mario Ohlberger; Felix Schindler (CoRR, 2023)

An optimally stable approximation of reactive transport using discrete test and infinite trial spaces. - Lukas Renelt; Mario Ohlberger; Christian Engwer (CoRR, 2023)

Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems. - Michael Kartmann; Tim Keil; Mario Ohlberger; Stefan Volkwein; Barbara Kaltenbacher (CoRR, 2023)

A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs. - Bernard Haasdonk; Hendrik Kleikamp; Mario Ohlberger; Felix Schindler; Tizian Wenzel (SIAM J. Sci. Comput., 2023)

Local training and enrichment based on a residual localization strategy. - Tim Keil; Mario Ohlberger; Felix Schindler; Julia Schleuß (CoRR, 2024)

Construction of local reduced spaces for Friedrichs' systems via randomized training. - Christian Engwer; Mario Ohlberger; Lukas Renelt (CoRR, 2024)

A Parareal algorithm without Coarse Propagator? - Martin J. Gander; Mario Ohlberger; Stephan Rave (CoRR, 2024)

Adaptive Model Hierarchies for Multi-Query Scenarios. - Hendrik Kleikamp; Mario Ohlberger (CoRR, 2024)

Model Order Reduction of an Ultraweak and Optimally Stable Variational Formulation for Parametrized Reactive Transport Problems. - Christian Engwer; Mario Ohlberger; Lukas Renelt (SIAM J. Sci. Comput., 2024)

Multi-fidelity Learning of Reduced Order Models for Parabolic PDE Constrained Optimization. - Benedikt Klein; Mario Ohlberger (CoRR, 2025)

Improving Interoperability in Scientific Computing via MaRDI Open Interfaces. - Dmitry I. Kabanov; Stephan Rave; Mario Ohlberger (CoRR, 2025)

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems. - Christian Engwer; Mario Ohlberger; Lukas Renelt (CoRR, 2025)

Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems. - Michael Kartmann; Benedikt Klein; Mario Ohlberger; Thomas Schuster; Stefan Volkwein (CoRR, 2025)

A Parareal Algorithm with Spectral Coarse Solver. - Martin J. Gander; Mario Ohlberger; Stephan Rave (CoRR, 2025)