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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
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
Proceedings of the SPPEXA Symposium, Munich, Germany, 2016 Springer - 2016

Analysis of multiscale methods for the two-dimensional Helmholtz equation with highly heterogeneous coefficient. Part II. Two-scale Localized Orthogonal Decomposition 1605.03410.pdf
arXiv num. 1605.03410 arXiv preprint (submitted) - may 2016

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

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
Proceedings of the SPPEXA Symposium, Munich, Germany, 2016 Springer - 2016

Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques 1401.0851v3.pdf
Accepted for publication in M2AN Math. Model. Numer. Anal. - 2016  doi: 10.1051/m2an/2016031

Analysis of multiscale methods for time-harmonic Maxwell's equations
- may 2016

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

True Error Control for the Localized Reduced Basis Method for Parabolic Problems 1606.09216v1.pdf
arXiv e-prints arXiv [math.NA] num. 1606.09216 - 2016

Finite Volume Methods: Foundation and Analysis ecm010.pub2.pdf
Encyclopedia of Computational Mechanics, Wiley - 2016

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

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

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

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

Analysis of multiscale methods for the two-dimensional Helmholtz equation with highly heterogeneous coefficient. Part I. Homogenization and the Heterogeneous Multiscale Method 1605.03400.pdf
arXiv num. 1605.03400 arXiv preprint (submitted) - may 2016

Model Reduction for Multiscale Lithium-Ion Battery Simulation paper.pdf
ENUMATH 2015, Ankara, Turkey, LNCSE Springer LNCSE - 2016

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

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

ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications 1512.07840v1.pdf
arXiv e-prints arXiv [math.NA] num. 1512.07840 - december 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

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

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

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

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

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

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

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

A new Heterogeneous Multiscale Method for time-harmonic Maxwell's equations based on divergence-regularization 1509.03172v2.pdf
arXiv num. 1509.03172 arXiv Preprint (Submitted) - september 2015

A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction owr-ohlberger.pdf
Oberwolfach Reports vol. 2/2015 - january 2015  doi: 10.4171/OWR/2015/2
 
2014
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems - FVCA 7, Berlin, June 2014
Jürgen Fuhrmann, Mario Ohlberger, Christian Rohde
Springer International Publishing Springer Proceedings in Mathematics & Statistics vol. 78 - may 2014
issn: 2194-1009  doi: 10.1007/978-3-319-05591-6

Cross-Gramian-Based Combined State and Parameter Reduction for Large-Scale Control Systems 843869.pdf
Mathematical Problems in Engineering Hindawi pages 1--13 vol. 2014 - july 2014
issn: 1563-5147  doi: 10.1155/2014/843869

Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems Springer International Publishing Springer Proceedings in Mathematics & Statistics pages 617--625 vol. 78 Fuhrmann, J. and Ohlberger, M. and Rohde, C. - may 2014  doi: 10.1007/978-3-319-05591-6_61

Combined State and Parameter Reduction
Proceedings in Applied Mathematics and Mechanics Wiley pages 825-826 vol. 14 Gesellschaft f?r Angewandte Mathematik und Mechanik (GAMM) - december 2014
issn: 1617-7061  doi: 10.1002/pamm.201410393

Inflow-Implicit/Outflow-Explicit Finite Volume Methods for Solving Advection Equations preprint.pdf
Applied Numerical Mathematics pages 16--37 vol. 85 - june 2014  doi: 10.1016/j.apnum.2014.06.002

An Adaptive Multiscale Finite Element Method HenOhlSchMMS2014.pdf
SIAM Multiscale Mod. Simul. pages 1078--1107 vol. 12 num. 3 - july 2014  doi: 10.1137/120886856

EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications
Peter Bastian, Christian Engwer, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Mario Ohlberger, Stefan Turek, Jorrit Fahlke, Sven Kaulmann, Steffen Müthing, Dirk Ribbrock
Euro-Par 2014: Parallel Processing Workshops. Euro-Par 2014 International Workshops, Porto, Portugal, August 25-26, 2014, Revised Selected Papers, Part II. Springer Lecture Notes in Computer Science pages 530--541 vol. 8806 Lopes et al. - december 2014
issn: 0302-9743  doi: 10.1007/978-3-319-14313-2_45

Model reduction for complex hyperbolic networks
Control Conference (ECC), 2014 European IEEE pages 2739--2743 - june 2014
issn: 978-3-9524269-1-3  doi: 10.1109/ECC.2014.6862188

Wenn die Probleme zahlreicher werden: Reduzierte Basis Methoden für effiziente und gesicherte numerische Simulation Seiten_aus_OhlHaaGAMM_Rundbrief_RB_2014_01_weba.pdf
GAMM Rundbrief GAMM e.V. pages 6--13 vol. 2014/1 - 2014
issn: 2196-3789

A-Posteriori Error Estimates for the Localized Reduced Basis Multi-Scale Method 1401.7173v1.pdf
Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects Springer International Publishing Springer Proceedings in Mathematics & Statistics pages 421--429 vol. 77 Fuhrmann, J., Ohlberger, M. and Rohde, C. - may 2014  doi: 10.1007/978-3-319-05684-5_41

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects - FVCA 7, Berlin, June 2014
Jürgen Fuhrmann, Mario Ohlberger, Christian Rohde
Springer International Publishing Springer Proceedings in Mathematics & Statistics vol. 77 - may 2014
issn: 2194-1009  doi: 10.1007/978-3-319-05684-5

Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions 1301.2488v1.pdf
Heiko Berninger, Mario Ohlberger, Oliver Sander, Kathrin Smetana
Math. Models and Methods in Appl. Sciences pages 901--936 vol. 24 num. 5 - may 2014  doi: 10.1142/S0218202513500711

A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries article.pdf
Mario Ohlberger, Stephan Rave, Sebastian Schmidt, Shiquan Zhang
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems Springer Springer Proceedings in Mathematics & Statistics pages 695--702 vol. 78 Fuhrmann, J. and Ohlberger, M. and Rohde, C. - may 2014  doi: 10.1007/978-3-319-05591-6_69

A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction SISC93912.pdf
SIAM J. Sci. Comp. SIAM pages A714--A736 vol. 36 num. 2 - april 2014
issn: 1064-8275  doi: 10.1137/130939122

A NUMERICALLY STABLE A POSTERIORI ERROR ESTIMATOR FOR REDUCED BASIS APPROXIMATIONS OF ELLIPTIC EQUATIONS BuhEngOhlRav_WCCM2014.pdf
11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014 CIMNE, Barcelona pages 4094--4102 E. Onate, X. Oliver and A. Huerta - 2014
issn: 978-84-942844-7-2



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