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Prof. Dr. Mario Ohlberger



Institute for Computational and Applied Mathematics
and Center for Nonlinear Sciences (CeNoS )
and Center for Multiscale Theory and Computation (CMTCS )
Universität Münster
Einsteinstr. 62
D-48149 Münster
Tel. : +49 (0) 251 83-33775
Fax : +49 (0) 251 83-32729

 mario dot ohlberger at math dot uni-muenster dot de
Mario Ohlberger

Contents


CV - Publications - Teaching - Research - Further Profiles

Curriculum Vitae


Positions
since 2007Full Professor for Applied Mathematics at the University of Münster
2002 - 2007Postdoctoral Research Associate, University of Freiburg
1997 - 2002 Research and Teaching Staff, University of Freiburg

Education
1997 - 2001Ph.D. in Mathematics, Universität Freiburg
1993 - 1997Diploma in Mathematics, Universität Freiburg
1991 - 1993Undergraduate Studies, Mathematics, Universität Kaiserslautern

 Full Curriculum Vitae

Publications

All Publications
My Publications with Custom Search

Recent and Submitted Publications
2017
Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques 1401.0851v3.pdf
M2AN Math. Model. Numer. Anal. pages 641--677 vol. 51 num. 2 - march 2017  doi: 10.1051/m2an/2016031

Non-Conforming Localized Model Reduction with Online Enrichment: Towards Optimal Complexity in PDE constrained Optimization
FINITE VOLUME FOR COMPLEX APPLICATIONS 8 - 2017

Model Reduction and Approximation: Theory and Algorithms
Peter Benner, Albert Cohen, Mario Ohlberger, Karen Willcox
SIAM Publications, Philadelphia, PA Computational Science and Engineering vol. 15 - 2017

Finite Volume Methods: Foundation and Analysis ecm010.pub2.pdf
Encyclopedia of Computational Mechanics, Wiley - 2017

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, Simon Westhoff, Jochen Zausch, Oleg Iliev, Arnulf Latz, Mario Ohlberger, Volker Schmidt
arXiv e-prints arXiv [math.NA] num. 1704.04139 - 2017
 
2016
Localized Orthogonal Decomposition for two-scale Helmholtz-type problems 1605.03410.pdf
arXiv num. 1605.03410 arXiv preprint - may 2016

A Note on the Cross Gramian for Non-Symmetric Systems
Systems Science and Control Engineering Taylor & Francis - 2016  doi: 10.1080/21642583.2016.1215273

Hardware-based Efficiency Advances in the EXA-DUNE Project.
Peter Bastian, Christian Engwer, Jorrit Fahlke, Markus Geveler, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Rene Milk, Jan Mohring, Steffen Müthing, Mario Ohlberger, Dirk Ribbrock, Stefan Turek
Software for Exascale Computing - SPPEXA 2013-2015 Springer Lecture Notes in Computational Science and Engineering pages 3--23 vol. 113 Hans-Joachim Bungartz, Philipp Neumann, Wolfgang E. Nagel - 2016
issn: 1439-7358  doi: 10.1007/978-3-319-40528-5_1

ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics 1606.06206v1.pdf
arXiv e-prints arXiv [math.NA] num. 1606.06206 - june 2016

Adaptive Localized Model Reduction ohlberger.pdf
Oberwolfach Reports - september 2016  doi: 10.4171/OWR/2016/42

Reduced Basis Methods: Success, Limitations and Future Challenges 389-2519-1-PB.pdf
Proceedings of ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoke Tatry, Podbanske, Slovakia, March 13-18, 2016 Publishing House of Slovak University of Technology in Bratislava pages 1--12 A. Handlovičova and D. Sevčovič, - 2016
issn: 978-80-227-4454-4

Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach 1406.7426v2.pdf
J. Comp. Phys. pages 1185--1205 vol. 321 - 2016  doi: 10.1016/j.jcp.2016.06.021

Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry 1606.05070v1.pdf
arXiv e-prints num. 1606.05070 - june 2016

A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift
Discrete and Continuous Dynamical Systems - Series S pages 1393--1420 vol. 9 num. 5 - october 2016  doi: 10.3934/dcdss.2016056

Problem adapted Hierarchical Model Reduction for the Fokker-Planck equation 390-2522-1-PB.pdf
Proceedings of ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoke Tatry, Podbanske, Slovakia, March 13-18, 2016 Publishing House of Slovak University of Technology in Bratislava pages 13--22 A. Handlovičova and D. Sevčovič - 2016
issn: 978-80-227-4454-4

Analysis of multiscale methods for time-harmonic Maxwell's equations
Proc. Appl. Math. Mech. WILEY-VCH Verlag pages 559--560 vol. 16 - 2016
issn: 1617-7061  doi: 10.1002/pamm.201610268

A new Heterogeneous Multiscale Method for time-harmonic Maxwell's equations M103922.pdf
SIAM J. Numer. Anal. SIAM pages 3493--3522 vol. 54 num. 6 - 2016  doi: 10.1137/15M1039225

A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast 1605.03400.pdf
arXiv num. 1605.03400 arXiv preprint (submitted) - may 2016

Model Reduction for Multiscale Lithium-Ion Battery Simulation paper.pdf
Numerical Mathematics and Advanced Applications ENUMATH 2015 Springer Lecture Notes in Computational Science and Engineering pages 317-331 vol. 112 B?lent Karas?zen, Murat Manguoğlu, M?nevver Tezer-Sezgin, Serdar G?ktepe, ?m?r Uğur - 2016
issn: 1439-7358  doi: 10.1007/978-3-319-39929-4_31

True Error Control for the Localized Reduced Basis Method for Parabolic Problems 1606.09216v3.pdf
arXiv e-prints arXiv [math.NA] num. 1606.09216 - 2016

Advances concerning multiscale methods and uncertainty quantification in EXA-DUNE
Peter Bastian, Christian Engwer, Jorrit Fahlke, Markus Geveler, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Rene Milk, Jan Mohring, Steffen Müthing, Mario Ohlberger, Dirk Ribbrock, Stefan Turek
Software for Exascale Computing - SPPEXA 2013-2015 Springer Lecture Notes in Computational Science and Engineering pages 25--43 vol. 113 Hans-Joachim Bungartz, Philipp Neumann, Wolfgang E. Nagel - 2016
issn: 1439-7358  doi: 10.1007/978-3-319-40528-5_2

Cross-Gramian-Based Model Reduction: A Comparison 1606.03954v1.pdf
Institute for Computational and Applied Mathematics Preprint at arXiv (math.OC) 1606.03954 - june 2016
 
2015
ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications 1512.07840v3.pdf
arXiv e-prints arXiv [math.NA] num. 1512.07840 - december 2015

Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo
Jan Mohring, Rene Milk, Adrian Ngo, Ole Klein, Oleg Iliev, Mario Ohlberger, Peter Bastian
Large-Scale Scientific Computing. 10th International Conference, LSSC 2015, Sozopol, Bulgaria, June 8-12, 2015. Springer International Publishing Lecture Notes in Computer Science pages 145--152 vol. 9374 I. Lirkov, S. D. Margenov, J. Wasniewski - 2015
issn: 0302-9743  doi: 10.1007/978-3-319-26520-9_15

Interactive Simulations Using Localized Reduced Basis Methods
IFAC-PapersOnLine pages 729--730 vol. 48(1) - 2015  doi: 10.1016/j.ifacol.2015.05.134

A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction owr-ohlberger.pdf
Oberwolfach Reports pages 141-144 vol. 2/2015 - january 2015  doi: 10.4171/OWR/2015/2

The localized reduced basis multiscale method for two-phase flows in porous media
Sven Kaulmann, Bernd Flemisch, Bernard Haasdonk, Knut-Andreas Lie, Mario Ohlberger
International Journal for Numerical Methods in Engineering Wiley pages 1018--1040 vol. 102 num. 5 - 2015  doi: 10.1002/nme.4773

Data-driven combined state and parameter reduction for inverse problems
Adv. Comp. Math Springer pages 1343--1364 vol. 41 num. 5 - october 2015
issn: 1019-7168  doi: 10.1007/s10444-015-9420-5

The Versatile Cross Gramian himpe15_morepas.pdf
ScienceOpen Posters vol. Morepas 3 scienceopen - october 2015

Comparison of methods for parametric model order reduction of instationary problems
Ulrike Baur, Peter Benner, Bernard Haasdonk, Christian Himpe, Immanuel Martini, Mario Ohlberger
Max Planck Institute Magdeburg Preprint at http://www2.mpi-magdeburg.mpg.de/preprints/2015/MPIMD15-01.pdf - february 2015

Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems final_paper.pdf
Discrete and Continuous Dynamical Systems - Series S pages 119--150 vol. 8 num. 1 - january 2015  doi: 10.3934/dcdss.2015.8.119

Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media 1307.2123v2.pdf
Computational Geosciences Springer pages 99--114 vol. 19 num. 1 - 2015
issn: 1420-0597  doi: 10.1007/s10596-014-9455-6

The Empirical Cross Gramian for Parametrized Nonlinear Systems himpe15_mathmod_xabs.pdf
MATHMOD 2015 - 8th Vienna International Conference on Mathematical Modelling IFAC Mathematical Modelling pages 727--728 vol. 48(1) - 2015  doi: 10.1016/j.ifacol.2015.05.163

Accelerating the Computation of Empirical Gramians and Related Methods himpe15_iwmrrf.pdf
Extended Abstract - http://modelreduction.net/workshops/5th-annual/ - july 2015

Model order reduction of parameterized systems (MoRePaS)
Peter Benner, Mario Ohlberger, Anthony T. Patera, Gianluigi Rozza, Danny C. Sorensen, Karsten Urban
Adv. Comp. Math Springer US pages 955--960 vol. 41 num. 5 - november 2015
issn: 1019-7168  doi: 10.1007/s10444-015-9443-y

Error control for the localized reduced basis multi-scale method with adaptive on-line enrichment OS2015.pdf
SIAM J. Sci. Comput. SIAM pages A2865--A2895 vol. 37 num. 6 - december 2015
issn: 1064-8275  doi: 10.1137/151003660



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