• 2022
• 2021
• 2020
• 2019
• 2018
• 2017
• 2016
• 2015
• 2014
• 2013
• 2012
• 2011
• 2010
• 2009
• 2008
• 2007
• 2006
• 2005
• 2004
• 2003
• 2002
• 2001
• 2000
• 1999
• 1998
• 1997

2022

• Gavrilenko Pavel, Haasdonk Bernard, Iliev Oleg, Ohlberger Mario, Schindler Felix, Toktaliev Pavel, Wenzel Tizian, Youssef Maha. 2022. ‘A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows.’ In Large-Scale Scientific Computing, edited by Lirkov Ivan, Margenov Svetozar, 378-386. Cham: Springer Verlag. doi: 10.1007/978-3-030-97549-4_43.
• Keil Tim, Ohlberger Mario. 2022. ‘Model Reduction for Large Scale Systems.’ In Large-Scale Scientific Computing, edited by Lirkov Ivan, Margenov Svetozar, 16-28. Cham: Springer International Publishing. doi: 10.1007/978-3-030-97549-4_2.
• Haasdonk B, Kleikamp H, Ohlberger M, Schindler F, Wenzel T. 2022. ‘A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs.’ arXiv [math.NA] 2204.13454. doi: 10.48550/arXiv.2204.13454. [submitted / under review]
• Keil Tim, Ohlberger Mario. 2022. ‘A relaxed localized trust-region reduced basis approach for optimization of multiscale problems.’ arXiv 2022. doi: 10.48550/arXiv.2203.09964. [submitted / under review]
• Kleikamp Hendrik, Ohlberger Mario, Rave Stephan. 2022. ‘Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain.’ ArXiv 2203.05833. [accepted / in press (not yet published)]
• Brecher C, Buchmeiser MR, Burkert A, Busemeyer MR, Conermann S, Ertl T, Friedrich M, Helmig, R, Hohmann V, Johnston AJ, Kollmeier B, Larkum M, Louis J, Menges A, Morgner U, Müller J, Niessen C, Ohlberger M, Schäffner W, Schmidt P, Schmitz D, Seeger W, Stammer D, Thomas A, Traninger A, Wegener M, Colomb J, Hermann S, Kopsch-Xhema J, Range J, Flemisch B. 2022. „Commitment zu aktivem Daten- und -softwaremanagement in großen Forschungsverbünden: Commitment to active data and software management in large research alliances.“ Bausteine Forschungsdatenmanagement 1: 121–123. doi: 10.17192/bfdm.2022.1.8412.
• Keil T, Kleikamp H, Lorentzen R, Oguntola M, Ohlberger M. 2022. ‘Adaptive machine learning based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery.’ arXiv 2022. [submitted / under review]
• Benner, P.; Burger, M.; Göddeke, D.; Himpe, C.; Hintermüller, M.; Heiland, J.; Koprucki, T.; Ohlberger, M.; Rave, S.; Reidelbach, M.; Saak, J.; Schöbel, A.; Tabelow, K. 2022. „Die Mathematische Forschungsdateninitiative in der NFDI: MaRDI (Mathematical Research Data Initiative).“ GAMM Rundbrief 1/2022: 40-43.
• Singh, A; Thale, S; Leibner, T; Ricker, A; Nüsse, H; Klingauf, J; Ohlberger, M; Matis, M. 2022. ‘Dynamic interplay of protrusive microtubule and contractile actomyosin forces drives tissue extension.’ eLife 2022. doi: 10.1101/2022.06.21.496930. [submitted / under review]

2021

• Bastian P, Blatt M, Dedner A, Dreier N, Engwer C, Fritze R, Gräser C, Kempf D, Klöfkorn R, Ohlberger M, Sander O. 2021. ‘The DUNE Framework: Basic Concepts and Recent Developments.’ Computers & Mathematics with Applications 81: 75-112. doi: 10.1016/j.camwa.2020.06.007.
• Buhr Andreas, Iapichino Laura, Ohlberger Mario, Rave Stephan, Schindler Felix, Smetana Kathrin. 2021. ‘Localized model reduction for parameterized problems.’ In Model Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, edited by Benner P, Grivet-Talocia S, Quarteroni A, Rozza G, Schilders W, Sileira L, 245 - 306. doi: 10.1515/9783110671490-006.
• Leibner T, Ohlberger M. 2021. ‘A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations.’ ESAIM: Mathematical Modelling and Numerical Analysis 55: 2567–2608. doi: 10.1051/m2an/2021065.
• Keil T, Mechelli L, Ohlberger M, Schindler F, Volkwein S. 2021. ‘A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained optimization.’ ESAIM: Mathematical Modelling and Numerical Analysis 55: 1239–1269. doi: 10.1051/m2an/2021019.
• Banholzer S, Keil T, Mechelli L, Ohlberger M, Schindler F, Volkwein S. 2021. ‘An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization.’ Pure and applied functional analysis 2021. [accepted / in press (not yet published)]
• Leibner T, Matis M, Ohlberger M, Rave S. 2021. ‘Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD.’ arXiv [math.NA] 2111.00129. [submitted / under review]
• Haasdonk B, Ohlberger M, Schindler F. 2021. ‘An adaptive model hierarchy for data-augmented training of kernel models for reactive flow.’ arXiv [math.NA] 2110.12388. [submitted / under review]
• Landstorfer M, Ohlberger M, Rave S, Tacke M. 2021. ‘A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells.’ arXiv eprint 2021. [submitted / under review]

2020

• Bastian P, Altenbernd M, Dreier N, Engwer C, Fahlke J, Fritze R, Geveler M, Göddeke D, Iliev O, Ippisch O, Mohring J, Müthing S, Ohlberger M, Ribbrock D, Shegunov N, Turek S. 2020. ‘Exa-Dune -- Flexible PDE Solvers, Numerical Methods and Applications.’ In Software for Exascale Computing - SPPEXA 2016-2019, edited by Bungartz Hans-Joachim, Reiz Severin. Uekermann Benjamin, Neumann Philipp, Nagel Wolfgang E, 225-269. Cham: Springer International Publishing. doi: 10.1007/978-3-030-47956-5_9.
• Ohlberger Mario, Schweizer Ben, Urban Maik, Verfürth Barbara. 2020. ‘Mathematical analysis of transmission properties of electromagnetic meta-materials.’ Networks and Heterogeneous Media 15, No. 1: 29-56. doi: 10.3934/nhm.2020002.

2019

• Feinauer J, Hein S, Rave S, Schmidt S, Westhoff D, Zausch J, Iliev O, Latz A, Ohlberger M, Schmidt V. 2019. ‘MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction.’ Journal of Computational Science 31: 172-184. doi: 10.1016/j.jocs.2018.03.006.
• Hain S, Ohlberger M, Radic M, Urban K. 2019. ‘A Hierarchical A-Posteriori Error Estimatorfor the Reduced Basis Method.’ Advances in Computational Mathematics 45: 2191-2214. doi: 10.1007/s10444-019-09675-z.
• Ohlberger M, Buhr A, Eikhorn D, Engwer C, Rave S. 2019. ‘Advances in Model Order Reduction for Large Scale or Multi-Scale Problems.’ Oberwolfach Reports 16, No. 3: 2510-2512. doi: 10.4171/OWR/2019/40.

2018

• Ohlberger Mario, Schaefer Michael, Schindler Felix. 2018. ‘Localized Model Reduction in PDE Constrained Optimization.’ In Shape Optimization, Homogenization and Optimal Control – DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017, edited by Schulz V, Seck D, 143-163. Basel: Birkhäuser. doi: 10.1007/978-3-319-90469-6_8.
• Ohlberger M, Verfürth B. 2018. ‘A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast.’ Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 16, No. 1: 385-411. doi: 10.1137/16M1108820.
• Ohlberger Mario, Rave Stephan, Schindler Felix, Wedemeier Tobias. 2018. ‘Model reduction for parameterized systems and inverse problems.’ Oberwolfach Reports 2018, No. 39: 2454-2457. doi: 10.4171/OWR/2018/39.

2017

• Baur U, Benner P, Haasdonk B, Himpe C, Martini I, Ohlberger M. 2017. ‘Comparison of methods for parametric model order reduction of instationary problems.’ In Model Reduction and Approximation: Theory and Algorithms., edited by Benner P, Cohen A, Ohlberger, M, Willcox K, 377-408. 1^st Ed. Philadelphia, PA: SIAM Publications. doi: 10.1137/1.9781611974829.ch9.
• Smetana K, Ohlberger M. 2017. ‘Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques.’ M2AN Math. Model. Numer. Anal. 51, No. 2: 641-677. doi: 10.1051/m2an/2016031.
• Ohlberger Mario. 2017. ‘Book review of: A. Quarteroni et al., Reduced basis methods for partial differential equations. An introduction.’ SIAM Rev. 59, No. 3: 690-692.
• Benner P, Ohlberger M, Patera A, Rozza G, Urban K (Eds.): 2017. Model Reduction of Parametrized Systems. 1^st Ed. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8.
• Barth T, Herbin R, Ohlberger M. 2017. ‘Finite Volume Methods: Foundation and Analysis.’ In Encyclopedia of Computational Mechanics, edited by Stein E, de Borst R, Hughes T, -. 2^nd Ed. John Wiley & Sons. doi: 10.1002/9781119176817.ecm2010.
• Ohlberger M, Schindler F. 2017. ‘Non-Conforming Localized Model Reduction with Online Enrichment: Towards Optimal Complexity in PDE constrained Optimization.’ In Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017, edited by Cancès C, Omnes P, 357-365. Cham: Springer International Publishing. doi: 10.1007/978-3-319-57394-6_38.
• Benner P, Cohen A, Ohlberger M, Willcox K. 2017. Model Reduction and Approximation: Theory and Algorithms. Philadelphia, PA: SIAM Publications. doi: 10.1137/1.9781611974829.
• Ohlberger M, Rave S, Schindler F. 2017. ‘True Error Control for the Localized Reduced Basis Method for Parabolic Problems.’ In Model Reduction of Parametrized Systems, edited by Benner P., Ohlberger M., Patera A., Rozza G., Urban K., 169-182. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_11.
• Ohlberger M, Rave S. 2017. ‘Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry.’ In Model Reduction of Parametrized Systems, edited by Benner P., Ohlberger M., Patera A., Rozza G., Urban K., 201-212. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_13.
• Himpe C, Ohlberger M. 2017. ‘Cross-Gramian-Based Model Reduction: A Comparison.’ In Model Reduction of Parametrized Systems, edited by Benner P, Ohlberger M, Patera A, Rozza G, Urban K, 271-283. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_17.
• Buhr A, Engwer C, Ohlberger M, Rave S. 2017. ‘ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics.’ In Model Reduction of Parametrized Systems, edited by Benner P., Ohlberger M., Patera A., Rozza G., Urban K., 137-148. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_9.
• Ohlberger M, Verfürth B. 2017. ‘Localized Orthogonal Decomposition for two-scale Helmholtz-type problems.’ AIMS Mathematics 2, No. 3: 458-478. doi: 10.3934/Math.2017.2.458.
• Buhr A, Engwer C, Ohlberger M, Rave S. 2017. ‘ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications.’ SIAM Journal on Scientific Computing 39, No. 4: A1435–A1465. doi: 10.1137/15M1054213.

2016

• Ohlberger M, Rave S, Schindler F. 2016. ‘Model Reduction for Multiscale Lithium-Ion Battery Simulation.’ In Numerical Mathematics and Advanced Applications ENUMATH 2015, edited by Karasözen B, Manguoğlu M, Teuer-Sezgin M, Göktepe S, Uğur Ö, 317-331.: Springer. doi: 10.1007/978-3-319-39929-4_31.
• Himpe C, Ohlberger M. 2016. ‘A note on the cross Gramian for non-symmetric systems.’ System Science and Control Engineering 4, No. 1: 199-208. doi: 10.1080/21642583.2016.1215273.
• Henning P, Ohlberger M, Verfürth B. 2016. ‘A new Heterogeneous Multiscale Method for time-harmonic Maxwell's equations.’ SIAM J. Numer. Anal. 54, No. 6: 3493-3522. doi: 10.1137/15M1039225.
• Ohlberger M, Smetana K. 2016. ‘Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach.’ J. Comp. Phys. 321: 1185-1205. doi: 10.1016/j.jcp.2016.06.021.
• Ohlberger M, Rave S, Schindler F. 2016. ‘Adaptive Localized Model Reduction.’ Oberwolfach Reports 13, No. 3: 2406-2409. doi: 10.4171/OWR/2016/42.
• Henning P, Ohlberger M. 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 9, No. 5: 1393-1420. doi: 10.3934/dcdss.2016056.
• Henning P, Ohlberger M, Verfürth B. 2016. ‘Analysis of multiscale methods for time-harmonic Maxwell's equations.’ Proc. Appl. Math. Mech. 16, No. 1: 559-560. doi: 10.1002/pamm.201610268.
• Brunken Julia, Leibner Tobias, Ohlberger Mario, Smetana Kathrin. 2016. ‘Problem adapted hierachical model reduction for the Fokker-Planck equation.’ In ALGORITMY 2016 Proceedings of contributed papers and posters, edited by Handlovicova Angela, Sevcovic Daniel, 13-22. Bratislava: Slovak University of Technology in Bratislava.
• Bastian P, Engwer C, Fahlke J, Geveler M, Göddeke D, Iliev O, Ippisch O, Milk R, J M, Müthing S, Ohlberger M, Ribbrock D, Turek S. 2016. ‘Advances concerning multiscale methods and uncertainty quantification in EXA-DUNE.’ In Software for Exascale Computing - SPPEXA 2013-2015, edited by Hans-Joachim Bungartz, Philipp Neumann, Wolfgang E. Nagel, 25-43. doi: 10.1007/978-3-319-40528-5_2.
• Bastian P, Engwer C, Fahlke J, Geveler M, Göddeke D, Iliev O, Ippisch O, Milk R, J M, Müthing S, Ohlberger M, Ribbrock D, Turek S. 2016. ‘Hardware-based Efficiency Advances in the EXA-DUNE Project.’ In Software for Exascale Computing - SPPEXA 2013-2015, edited by Hans-Joachim Bungartz, Philipp Neumann, Wolfgang E. Nagel, 3-23. Springer Verlag. doi: 10.1007/978-3-319-40528-5_1.
• Ohlberger M, Rave S. 2016. ‘Reduced Basis Methods: Success, Limitations and Future Challenges.’ In roceedings of ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoke Tatry, Podbanske, Slovakia, March 13-18, 2016, edited by A. Handlovičova and D. Sevčovič, 1-12. Bratislava: Publishing House of Slovak University of Technology in Bratislava.

2015

• Henning P, Ohlberger M. 2015. ‘Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems.’ Discrete and Continuous Dynamical Systems - Series S 8, No. 1: 119-150. doi: 10.3934/dcdss.2015.8.119.
• Ohlberger Mario, Smetana Kathrin. 2015. ‘A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction.’ Oberwolfach Reports 2/2015: 141-144. doi: 10.4171/OWR/2015/2.
• Himpe C, Ohlberger M. ‘The Versatile Cross Gramian.’ contributed to the Model Reduction for Parameterized Systems (MoRePaS) III, Trieste, Italy, 2015. doi: 10.14293/P2199-8442.1.SOP-MATH.PSAHPZ.v1.
• Benner P, Ohlberger M, Patera A, Rozza G, Sorensen D, Urban K. 2015. ‘Model order reduction of parameterized systems (MoRePaS).’ Advances in Computational Mathematics 41, No. 5: 955-960. doi: 10.1007/s10444-015-9443-y.
• Buhr A, Ohlberger M. 2015. ‘Interactive Simulations Using Localized Reduced Basis Methods.’ In IFAC-PapersOnLine, 729-730. doi: 10.1016/j.ifacol.2015.05.134.
• Mohring Jan, Milk Rene, Ngo Adrian, Klein Ole, Iliev Oleg, Ohlberger Mario, Bastian Peter. 2015. ‘Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo.’ In Proceedings of 10th International Conference on Large-Scale Scientific Computations, Sozopol 2015, edited by Lirkov I., Margenov S. D. , Wasniewski J., 145-152.: Springer International Publishing. doi: 10.1007/978-3-319-26520-9_15.
• Himpe C, Ohlberger M. 2015. ‘The Empirical Cross Gramian for Parametrized Nonlinear Systems.’ Contributed to the MATHMOD 2015 - 8th Vienna International Conference on Mathematical Modelling, Vienna. doi: 10.1016/j.ifacol.2015.05.163.
• Ohlberger M, Schindler F. 2015. ‘Error control for the localized reduced basis multi-scale method with adaptive on-line enrichment.’ SIAM J. Sci. Comput. 37, No. 6: A2865-A2895. doi: 10.1137/151003660.
• Himpe C, Ohlberger M. ‘Accelerating the Computation of Empirical Gramians and Related Methods.’ contributed to the 5th International Workshop on Model Reduction in Reacting Flows, Spreewald, 2015. doi: 10.5281/zenodo.46643.
• Kaulmann S, Flemisch B, Haasdonk B, Lie K, Ohlberger M. 2015. ‘The Localized Reduced Basis Multiscale method for two-phase flows in porous media.’ International Journal for Numerical Methods in Engineering 5, No. 102: 1018-1040. doi: 10.1002/nme.4773.
• Himpe C, Ohlberger M. 2015. ‘Data-driven combined state and parameter reduction for inverse problems.’ Advances in Computational Mathematics 41, No. 5: 1343-1364. doi: 10.1007/s10444-015-9420-5.
• Henning P, Ohlberger M, Schweizer B. 2015. ‘Adaptive Heterogeneous Multiscale Methods for immiscible two-phase flow in porous media.’ Computational Geosciences 1, No. 19: 99--114. doi: 10.1007/s10596-014-9455-6.

2014

• Haasdonk B, Ohlberger M. 2014. „Wenn die Probleme zahlreicher werden: Reduzierte Basis Methoden f\ür effiziente und gesicherte numerische Simulation.“ GAMM Rundbrief 2014/1: 6-13.
• Fuhrmann J, Ohlberger M, Rohde C. 2014. Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects - FVCA 7, Berlin, June 2014.: Springer International Publishing. doi: 10.1007/978-3-319-05684-5.
• Fuhrmann J, Ohlberger M, Rohde C. 2014. Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems - FVCA 7, Berlin, June 2014.: Springer International Publishing. doi: 10.1007/978-3-319-05591-6.
• Girke S, Klöfkorn R, Ohlberger M. 2014. ‘Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes.’ In Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, edited by Fuhrmann J, Ohlberger M, Rohde C, 617-625.: Springer International Publishing. doi: 10.1007/978-3-319-05591-6_61.
• Ohlberger M, Schindler F. 2014. ‘A-Posteriori Error Estimates for the Localized Reduced Basis Multi-Scale Method.’ In Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, edited by , Rohde C, 421-429.: Springer International Publishing. doi: 10.1007/978-3-319-05684-5_41.
• Ohlberger M, Rave S, Schmidt S, Zhang S. 2014. ‘A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries.’ In Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, edited by Fuhrmann J, Ohlberger M, Rohde C, 695-702.: Springer. doi: 10.1007/978-3-319-05591-6_69.
• Ohlberger M, Smetana K. 2014. ‘A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction.’ SIAM Journal on Scientific Computing 36, No. 2: A714-A736. doi: 10.1137/130939122.
• Berninger H, Ohlberger M, Sander O, Smetana K. 2014. ‘Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions.’ Math. Models and Methods in Appl. Sciences 24, No. 5: 901-936. doi: 10.1142/S0218202513500711.
• Himpe C, Ohlberger M. 2014. ‘Model Reduction for Complex Hyperbolic Networks.’ Contributed to the 13th European Control Conference (ECC), June 24-27, 2014, Strasbourg, France. doi: 10.1109/ECC.2014.6862188.
• Himpe C, Ohlberger M. 2014. ‘Cross-Gramian Based Combined State and Parameter Reduction for Large-Scale Control Systems.’ Mathematical Problems in Engineering 2014: 1-13. doi: 10.1155/2014/843869.
• Henning Patrick, Ohlberger Mario, Schweizer Benn. 2014. ‘An adaptive Multiscale Finite Element Method.’ Multiscale Mod. Simul. 12, No. 3: 1078-1107. doi: 10.1137/120886856.
• Mikula K, Ohlberger M, Urban J. 2014. ‘Inflow-Implicit/Outflow-Explicit Finite Volume Methods for Solving Advection Equations.’ Applied Numerical Mathematics 85: 16-37. doi: 10.1016/j.apnum.2014.06.002.
• Buhr A, Engwer C, Ohlberger M, Rave S. 2014. ‘A Numerically Stable A Posteriori Error Estimator for Reduced Basis Approximations of Elliptic Equations.’ In 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, edited by E. Onate XO, Huerta A, 4094-4102.: CIMNE, Barcelona.
• Bastian P, Engwer C, Göddeke D, Iliev O, Ippisch O, Ohlberger M, Turek S, Fahlke J, Kaulmann S, Müthing S, Ribbrock D. 2014. ‘EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications.’ In Euro-Par 2014: Parallel Processing Workshops, edited by Lopes L., Žilinskas J., Costan A., Cascella R.G., Kecskemeti G., Jeannot E., Cannataro M., Ricci L., Benkner S., Petit S., Scarano V., Gracia J., Hunold S., Scott S.L., Lankes S., Lengaue C., Carretero J., Breitbart J., Alexander M., 530-541. Springer International Publishing. doi: 10.1007/978-3-319-14313-2_45.
• Himpe C, Ohlberger M. 2014. ‘Combined State and Parameter Reduction.’ Contributed to the 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen. doi: 10.1002/pamm.201410393.

2013

• Albrecht F, Ohlberger M. 2013. ‘The localized reduced basis multi-scale method with online enrichment.’ Oberwolfach Reports 7: 406-409. doi: 10.4171/OWR/2013/07.
• Ohlberger M, Rave S. 2013. ‘Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing.’ C. R. Acad. Sci. Paris, Ser. I 351: 901-906. doi: 10.1016/j.crma.2013.10.028.
• Ohlberger M, Schaefer M. 2013. ‘Error Control Based Model Reduction for Parameter Optimization of Elliptic Homogenization Problems.’ In Proceedings of the 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations. doi: 10.3182/20130925-3-FR-4043.00053.
• Himpe C, Ohlberger M. 2013. ‘A Unified Software Framework for Empirical Gramians.’ Journal of Mathematics 2013, No. 2013: 1-6. doi: 10.1155/2013/365909.
• Ohlberger M, Albrecht F, Drohmann M, Henning P, Kaulmann S, Schweizer B. 2013. ‘Model reduction for multiscale problems.’ Oberwolfach Reports 39: 2228-2230. doi: 10.4171/OWR/2013/39.
• Henning P, Ohlberger M, Schweizer B. 2013. ‘Homogenization of the degenerate two-phase flow equations.’ Math. Models and Methods in Appl. Sciences 23, No. 12: 2323-2352. doi: 10.1142/S0218202513500334.

2012

• Drohmann Martin , Haasdonk Bernard, Ohlberger, Mario. 2012. ‘Reduced Basis Model Reduction of Parametrized Two-Phase Flow in Porous Media.’ In 7th Vienna International Conference on Mathematical Modelling, 722-727. doi: 10.3182/20120215-3-AT-3016.00128.
• Ohlberger M. 2012. ‘Error control based model reduction for multiscale problems.’ In Proceedings of Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012, edited by Slovak University of Technology in Bratislava, Publishing House of STU, 1-10.
• Bastian P, Berninger H, Dedner A, Engwer C, Henning P, Kornhuber R, Kröner D, Ohlberger M, Sander O, Schiffler G, Shokina N, Smetana K. 2012. ‘Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management.’ In Progress in Industrial Mathematics at ECMI 2010, 561--567.: Springer,. doi: 10.1007/978-3-642-25100-9_65.
• Albrecht F, Haasdonk B, Kaulmann S, Ohlberger M. 2012. ‘The Localized Reduced Basis Multiscale Method.’ Contributed to the Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012, Vysoke Tatry, Podbanske.
• Albrecht F, Haasdonk B, Kaulmann S, Ohlberger M. 2012. ‘The Localized Reduced Basis Multiscale Method.’ In Submitted to the Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, February 15 - 17, 2012.
• Drohmann M, Haasdonk B, Ohlberger M. 2012. ‘Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation.’ SIAM Journal on Scientific Computing 34: A937-A969. doi: 10.1137/10081157X.
• Henning P, Ohlberger M. 2012. ‘On the implementation of a heterogeneous multiscale finite element method for nonlinear elliptic problems.’ In Advances in DUNE. Proceedings of the DUNE User Meeting, Held 6.-8.10.2010, in Stuttgart, Germany., edited by A. Dedner B. Flemisch RK, 143--155.: Springer. doi: 10.1007/978-3-642-28589-9_11.
• Dedner A, Klöfkorn R, Nolte M, Ohlberger M. 2012. ‘DUNE-FEM. A general purpose discretization toolbox for parallel and adaptive scientific computing.’ In Advances in DUNE. Proceedings of the DUNE User Meeting, held 6.-8.10.2010, in Stuttgart, Germany., edited by A. Dedner B. Flemisch RK, 17--31.: Springer. doi: 10.1007/978-3-642-28589-9_2.
• Drohmann M, Haasdonk B, Kaulmann S, Ohlberger M. 2012. ‘A software framework for reduced basis methods using DUNE-RB and RBmatlab.’ In Advances in DUNE. Proceedings of the DUNE User Meeting, Held 6.-8.10.2010, in Stuttgart, Germany., edited by A. Dedner B. Flemisch RK, 77--88.: Springer. doi: 10.1007/978-3-642-28589-9_6.
• Ohlberger M, Schaefer M. 2012. ‘A reduced basis method for parameter optimization of multiscale problems.’ In Submitted to Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012.
• Henning P, Ohlberger M. 2012. ‘A Newton-scheme framework for multiscale methods for nonlinear elliptic homogenization problems.’ In Submitted to Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012..

2011

• Haasdonk B, Dihlmann M, Ohlberger M. 2011. ‘A Training Set and Multiple Bases Generation Approach for Parametrized Model Reduction Based on Adaptive Grids in Parameter Space.’ Mathematical and Computer Modelling of Dynamical Systems 2011, No. 17 (4): 423--442. doi: 10.1080/13873954.2011.547674.
• Henning P, Ohlberger M. 2011. ‘A Note on Homogenization of Advection-Diffusion Problems with Large Expected Drift.’ Zeitschrift für Analysis und ihre Anwendungen 2011, No. 30(3): 319--339. doi: 10.4171/ZAA/1437.
• Ohlberger M, Smetana K. 2011. ‘A new Hierarchical Model Reduction-Reduced Basis technique for advection-diffusion-reaction problems.’ In Proceedings of the V International Conference on Adaptive Modeling and Simulation (ADMOS 2011) held in Paris, France, 6-8 June 2011, edited by Aubry D. et al., 343-354.: International Center for Numerical Methods in Engineering (CIMNE), Barcelona.
• Drohmann M, Haasdonk B, Ohlberger M. 2011. ‘Adaptive Reduced Basis Methods for Nonlinear Convection-Diffusion Equations.’ In Finite Volumes for Complex Applications VI - Problems & Perspectives, edited by Fort J. et al., 369--377.: Springer. doi: 10.1007/978-3-642-20671-9_39.
• Haasdonk B, Ohlberger M. 2011. ‘Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition.’ Mathematical and Computer Modelling of Dynamical Systems 17, No. 2: 145--161. doi: 10.1080/13873954.2010.514703.
• Mikula K, Ohlberger M. 2011. ‘Inflow-Implicit/Outflow-Explicit scheme for solving advection equations.’ In Finite Volumes for Complex Applications VI - Problems & Perspectives, edited by Fort J. et al., 683--691.: Springer. doi: 10.1007/978-3-642-20671-9_72.
• Kaulmann S, Ohlberger M, Haasdonk B. 2011. ‘A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems.’ Comptes Rendus Mathématique 349, No. 23-24: 1233--1238. doi: 10.1016/j.crma.2011.10.024.

2010

• Dedner A, Klöfkorn R, Nolte M, Ohlberger M. 2010. ‘A generic interface for parallel and adaptive scientific computing: Abstraction principles and the DUNE-FEM module.’ Computing 90, No. 3-4: 165-196. doi: 10.1007/s00607-010-0110-3.
• Mikula K, Ohlberger M. 2010. ‘A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach.’ SIAM Journal on Scientific Computing 32, No. 3: 1527--1544. doi: 10.1137/09075946X.
• Henning P, Ohlberger M. 2010. ‘The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift.’ Networks and Heterogeneous Media 5, No. 4: 711--744. doi: 10.3934/nhm.2010.5.711.
• Mikula K, Ohlberger M. 2010. A New Inflow-Implicit/Outflow-Explicit Finite Volume Method for Solving Variable Velocity Advection Equations , 2010.
• Ohlberger M, Smetana K. 2010. A new problem adapted hierarchical model reduction technique based on reduced basis methods and dimensional splitting , 2010.
• Drohmann M, Haasdonk B, Ohlberger M. 2010. Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation , 2010.

2009

• Ohlberger M. 2009. ‘A review of a posteriori error control and adaptivity for approximations of nonlinear conservation laws.’ International Journal for Numerical Methods in Fluids 59, No. International Journal for Numerical Methods in Fluids: 333--354. doi: 10.1002/fld.1686.
• Henning P, Ohlberger M. 2009. A-posteriori error estimate for a heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. , 2009.
• Haasdonk B, Ohlberger M. 2009. ‘Efficient reduced models for parametrized dynamical systems by offline/online decomposition.’
• Drohmann M, Haasdonk B, Ohlberger M. 2009. ‘Reduced Basis Method for Finite Volume Approximation of Evolution Equations on Parametrized Geometries.’ Contributed to the Proceedings of ALGORITMY 2009.
• Haasdonk B, Ohlberger M. 2009. ‘Space-adaptive reduced basis simulation for time-dependent problems.’
• Haasdonk B, Ohlberger M. 2009. ‘Reduced Basis Method for Explicit Finite Volume Approximations of Nonlinear Conservation Laws.’ In Hyperbolic problems: theory, numerics and applications. Providence, RI: American Mathematical Society.
• Henning P, Ohlberger M. 2009. ‘The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains.’ Numer. Math. 113: 601-629. doi: 10.1007/s00211-009-0244-4.

2008

• Goldsmith F, Ohlberger M, Schumacher J, Steinkamp K, Ziegler C. 2008. ‘A non-isothermal PEM fuel cell model including two water transport mechanisms in the membrane.’ Journal of Fuel Cell Science and Technology 5, No. Journal of Fuel Cell Science and Technology: 5. doi: 10.1115/1.2822884.
• Haasdonk B, Ohlberger M. 2008. ‘Adaptive Basis Enrichment for the Reduced Basis Method Applied to Finite Volume Schemes.’ Contributed to the Finite Volumes for Complex Applications VI Problems & Perspectives: FVCA 6, Prague.
• Klöfkorn R, Kröner D, Ohlberger M. 2008. ‘Parallel adaptive simulation of PEM fuel cells.’ In Mathematics – Key Technology for the Future, edited by Krebs, Jäger, 235-249.
• Haasdonk B, Ohlberger M. 2008. ‘Reduced Basis Method for Finite Volume Approximations of Parametrized Linear Evolution Equations.’ M2AN Math. Model. Numer. Anal. 42, No. 2: 277-302. doi: 10.1051/m2an:2008001.
• Dedner A, Ohlberger M. 2008. ‘A new $hp$-adaptive DG scheme for conservation laws based on error control.’ In Hyperbolic Problems: Theory, Numerics, Applications, edited by Benzoni-Gavage, Serre, 187--198. Berlin. doi: 10.1007/978-3-540-75712-2_15.
• Haasdonk B, Ohlberger M, Rozza G. 2008. ‘A reduced basis method for evolution schemes with parameter-dependent explicit operators.’ Electronic transactions on numerical analysis 32: 145--161.
• Klöfkorn R, Kröner D, Ohlberger M. 2008. ‘Parallel and adaptive simulation of fuel cells in 3d.’ In Computational science and high performance computing III, 69--81. Berlin: Springer Verlag. doi: 10.1007/978-3-540-69010-8_7.

2007

• Haasdonk B, Ohlberger M. 2007. ‘Basis Construction for Reduced Basis Methods by Adaptive Parameter Grids.’
• Fuhrmann J, Haasdonk B, Holzbecher E, Ohlberger M. 2007. ‘Guest Editorial for Special Issue on Modelling and Simulation of PEM-FC.’ Journal of Fuel Cell Science and Technology 2007, No. Journal of Fuel Cell Science and Technology.
• Klöfkorn R, Kröner D, Ohlberger M. 2007. ‘Parallel and adaptive simulaiton of fuel cells in 3D.’
• Dedner A, Makridakis C, Ohlberger M. 2007. ‘Error control for a class of Runge-Kutta discontinuous Galerkin methods for nonlinear conservation laws.’ SIAM J. Numer. Anal. 45: 514-538.
• Ohlberger M, Schweizer B. 2007. ‘Modelling of interfaces in unsaturated porous media.’ Discrete Contin. Dyn. Syst. , No. Dynamical Systems and Differential Equations. Proceedings of the 6th AIMSInternational Conference, suppl.: 794--803.

2006

• Burri A, Dedner A, Diehl D, Klöfkorn R, Ohlberger M. 2006. ‘A general object oriented framework for discretizing nonlinear evolution equations.’, 93.
• Burri A, Dedner A, Klöfkorn R, Ohlberger M. 2006. ‘An efficient implementation of an adaptive and parallel grid in DUNE.’, 91.
• Haasdonk B, Ohlberger M. 2006. Reduced Basis Method for Finite Volume Approximations of Parametrized Evolution Equations , 2006.
• Ohlberger M, Vovelle J. 2006. ‘Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method.’ Math. Comp. 75: 113-150.

2005

• Dedner A, Makridakis C, Ohlberger M. 2005. ‘A new stable discontinuous Galerkin approximation for non-linear conservation laws on adaptively refined grids.’, 1095 - 1099.
• Ohlberger M. 2005. ‘A posterior error estimates for the heterogenoeous mulitscale finite element method for elliptic homogenization problems.’ SIAM Multiscale Mod. Simul. 4, No. 1: 88 - 114.
• Ohlberger M. 2005. ‘Error control for approximations of non-linear conservation laws.’, 85 - 100.
• Bastian P, Droske M, Engwer C, Klöfkorn R, Neubauer T, Ohlberger M, Rumpf M. 2005. ‘Towards a unified framework for scientific computing.’, 167 - 174.
• Ohlberger M. 2005. ‘A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems.’ Multiscale Model. Simul. 4: 88-114.

2004

• Barth T, Ohlberger M. 2004. ‘Finite volume methods: foundation and analysis.’, 439 -474.
• Ohlberger M. 2004. ‘Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media.’ Comp. Vis. Sci. 7, No. 1: 41-51.

2003

• Kröner D, Küther M, Ohlberger M, Rohde C. 2003. ‘A posteriori error estimates and adaptive methods for hyperbolic and convection dominates parabolic conservation laws.’, 289 - 306.
• Küther M, Ohlberger M. 2003. ‘Adaptive second order central schemes on unstructured staggered grids.’
• Haasdonk B, Ohlberger M, Rumpf M, Schmidt A, Siebert K. 2003. ‘Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations.’ Computing 70, No. Computing: 181--204.

2002

• Herbin R, Ohlberger M. 2002. ‘A posteriori error estimate for finite volume approximations of convection diffusion problems.’
• Ohlberger M, Rohde C. 2002. ‘Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems.’ IMA J. Numer. Anal. 22, No. 2: 253 -280.
• Bürkle D, Ohlberger M. 2002. ‘Adaptive finite volume methods for displacement problems in porous media.’ Comp. Vis. Sci. 5, No. 2: 95 - 106.
• Klöfkorn R, Kröner D, Ohlberger M. 2002. ‘Local adaptive methods for convection dominated problems.’ International Journal for Numerical Methods in Fluids 40, No. 1-2: 79 - 91.
• Karlsen KH, Ohlberger M. 2002. ‘A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations.’ J. Math. Anal. Appl. 275: 439-458.

2001

• Ohlberger M. 2001. ‘A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations.’ Numerische Mathematik 87, No. 4: 737 - 761.
• Ohlberger M. 2001. A posteriori error estimates and adaptive methods for convection dominated transport processes.
• Haasdonk B, Ohlberger M, Rumpf M, Schmidt A, Siebert K. 2001. h-p-Multiresolution Visualization of Adaptive Finite Element Simulations , 2001.
• Haasdonk B, Ohlberger M, Rozza G. 2001. ‘A reduced basis method for evolution schemes with parameter-dependent explicit operators.’ Electron. Trans. Numer. Anal. 32: 145-161.
• Ohlberger M. 2001. ‘A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations.’ M2AN Math. Model. Numer. Anal. 35: 355-387.

2000

• Kröner D, Ohlberger M. 2000. ‘A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multidimensions.’ Math. Comp. 69: 25-39.

1999

• Geßner T, Haasdonk B, Kende R, Lenz M, Metscher M, Neubauer R, Ohlberger M, Rosenbaum W, Rumpf M, Schwörer R, Spielberg M, Weikard U. 1999. A Procedural Interface for Multiresolutional Visualization of General Numerical Data , 1999.
• Ohlberger M. 1999. ‘Adaptive mesh refinement for single and two phase flow problems in porous media.’
• Ohlberger M, Rumpf M. 1999. ‘Adaptive protection operators in multiresolution scientific visualizations.’ IEEE Transactions on Visualization and Computer Graphics 5, No. 1: 74 - 94.
• Ohlberger M. 1999. ‘Mixed finite element-finte volume methods for two-phase flow in porous media.’
• Grüne L, Metscher M, Ohlberger M. 1999. ‘On numerical algorithm and interactive visualization for optimal control problems.’ Comp. Visual. Sci. 1, No. 4: 221 - 229.

1998

• Ohlberger M, Schwörer R. 1998. Challenges in Fluid Dynamics.

1997

• Ohlberger M. 1997. ‘Convergence of a mixed finite element-finite volume method for the two phase flow in porous media.’ East-West journal of numerical mathematics 5, No. 3: 183 - 210.
• Neubauer R, Ohlberger M, Rumpf M, Schwörer R. 1997. ‘Efficient visualization of large-scale data on hierarchical meshes.’
• Ohlberger M, Rumpf M. 1997. ‘Hierarchical and adaptive visualization on nested grids.’ Computing 59, No. Computing: 365 - 385.