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D-Index & Metrics

Mathematics

D-Index
39
Citations
6704
World Ranking
2191
National Ranking
138

Engineering and Technology

D-Index
38
Citations
6681
World Ranking
7980
National Ranking
270

Overview

Mario Ohlberger is affiliated with the University of Münster in Germany. Their research predominantly spans the fields of Engineering and Physics and Astronomy, with significant contributions to subfields including Statistical and Nonlinear Physics, Computational Mechanics, Numerical Analysis, Computational Theory and Mathematics, and Mechanics of Materials.

Their work centers on several main topics, notably Model Reduction and Neural Networks, Advanced Numerical Methods in Computational Mathematics, Numerical Methods for Differential Equations, Advanced Mathematical Modeling in Engineering, Probabilistic and Robust Engineering Design, Electromagnetic Simulation and Numerical Methods, and Nuclear Reactor Physics and Engineering.

Ohlberger has contributed to numerous publications in well-known venues. Frequent publication outlets include arXiv (Cornell University), ESAIM Mathematical Modelling and Numerical Analysis, SIAM Journal on Scientific Computing, Nature Communications, and Advances in Computational Mathematics.

Their recent papers include:

  • "A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization" (2021) published in ESAIM Mathematical Modelling and Numerical Analysis
  • "A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs" (2023) published in SIAM Journal on Scientific Computing
  • "The Dune framework: Basic concepts and recent developments" (2020) published in Computers & Mathematics with Applications
  • "Dynamic interplay of microtubule and actomyosin forces drive tissue extension" (2024) published in Nature Communications
  • "Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery" (2022) published in Advances in Computational Mathematics

Frequent co-authors who have collaborated extensively with Ohlberger include Tim Keil, Felix Schindler, Hendrik Kleikamp, Tobias Leibner, and Christian Engwer.

Best Publications

  • A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE

    P. Bastian;M. Blatt;A. Dedner;C. Engwer

  • REDUCED BASIS METHOD FOR FINITE VOLUME APPROXIMATIONS OF PARAMETRIZED LINEAR EVOLUTION EQUATIONS

    Bernard Haasdonk;Mario Ohlberger

  • A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework

    P. Bastian;M. Blatt;A. Dedner;C. Engwer

  • Model Reduction and Approximation: Theory and Algorithms

    Peter Benner;Albert Cohen;Mario Ohlberger;Karen Willcox

  • Finite Volume Methods: Foundation and Analysis

    Timothy Barth;Mario Ohlberger;Mario Ohlberger

  • Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation

    Martin Drohmann;Bernard Haasdonk;Mario Ohlberger

  • A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space

    Bernard Haasdonk;Markus Dihlmann;Mario Ohlberger

  • A generic interface for parallel and adaptive discretization schemes: abstraction principles and the Dune - Fem module

    Andreas Dedner;Robert Klöfkorn;Martin Nolte;Mario Ohlberger

  • A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions

    Dietmar Kröner;Mario Ohlberger

  • Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing

    Mario Ohlberger;Stephan Rave

  • Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition

    Bernard Haasdonk;Mario Ohlberger

  • A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations

    Mario Ohlberger

  • Model Reduction of Parametrized Systems

    Peter Benner;Mario Ohlberger;Anthony T. Patera;Gianluigi Rozza

  • Reduced Basis Methods: Success, Limitations and Future Challenges

    Mario Ohlberger;Stephan Rave

  • The DUNE framework: Basic concepts and recent developments

    Peter Bastian;Markus Blatt;Andreas Dedner;Nils Arne Dreier

  • A Posteriori Error Estimates for the Heterogeneous Multiscale Finite Element Method for Elliptic Homogenization Problems

    Mario Ohlberger

  • Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment

    Mario Ohlberger;Felix Schindler

  • The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains

    Patrick Henning;Mario Ohlberger

  • Hierarchical and adaptive visualization on nested grids

    M. Ohlberger;M. Rumpf

  • An Introduction to Recent Developments in Theory and Numerics for Conservation Laws

    Dietmar Kröner;Mario Ohlberger;Christian Rohde

  • 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, October 20-24, 1997

    Numerics;Dietmar Kröner

Frequent Co-Authors

Stefan Turek
Stefan Turek TU Dortmund University
Martin Rumpf
Martin Rumpf University of Bonn
Peter Benner
Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems
Arnulf Latz
Arnulf Latz German Aerospace Center
Gianluigi Rozza
Gianluigi Rozza International School for Advanced Studies
Stefan Volkwein
Stefan Volkwein University of Konstanz
Albert Cohen
Albert Cohen Google (United States)
Volker Schmidt
Volker Schmidt University of Ulm
Karen Willcox
Karen Willcox The University of Texas at Austin

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