Forschung

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2024

• Wenzel, Tizian, Haasdonk, Bernard, Kleikamp, Hendrik, Ohlberger, Mario, und Schindler, Felix. 2024. „Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling.“ In Large-Scale Scientific Computations, Bd. 13952 aus Lecture Notes in Computer Science, herausgegeben von I. Lirkov und S. Margenov. Berlin: Springer Nature. doi: 10.1007/978-3-031-56208-2_11.
• Keil, Tim, Ohlberger, Mario, und Schindler, Felix. 2024. „Adaptive Localized Reduced Basis Methods for Large Scale PDE-constrained Optimization.“ In Large-Scale Scientific Computations, Bd. 13952 aus Lecture Notes in Computer Science, herausgegeben von I Lirkov und S Margenov. Berlin: Springer Nature. doi: 10.1007/978-3-031-56208-2_10.
• Schembera, Björn, Wübbeling, Frank, Kleikamp, Hendrik, Biedinger, Christine, Fiedler, Jochen, Reidelbach, Marco, Shehu, Aurela, Schmidt, Burkhard, Koprucki, Thomas, Iglezakis, Dorothea, und Göddeke, Dominik. 2024. „Ontologies for Models and Algorithms in Applied Mathematics and Related Disciplines.“ In Metadata and Semantic Research - 17th Research Conference, MTSR 2023, Milan, Italy, October 25–27, 2023, Revised Selected Papers, Bd. 2048 aus Communications in Computer and Information Science, herausgegeben von Emmanouel Garoufallou und Fabio Sartori. Heidelberg: Springer. doi: 10.1007/978-3-031-65990-4_14.
• Singh, A, Thale, S, Leibner, T, Lamparter, L, Ricker, A, Nüsse, H, Klingauf, J, Galic, M, Ohlberger, M, und Matis, M. 2024. „Dynamic interplay of microtubule and actomyosin forces drive tissue extension.“ Nature Communications, Nr. 15 (1): 3198–3198. doi: 10.1038/s41467-024-47596-8.
• Tim Keil, Mario Ohlberger, und Felix Schindler, Julia Schleuß. 2024. „Local training and enrichment based on a residual localization strategy.“ In Proceedings of the Conference Algoritmy 2024, Bd. 8 aus Proceedings of the Conference Algoritmy, herausgegeben von P Frolkovič, K Mikula und D Ševčovič. Bratislava: Jednota slovenských matematikov a fyzikov.
• Schembera, Björn, Wübbeling, Frank, Kleikamp, Hendrik, Schmidt, Burkhard, Shehu, Aurela, Reidelbach, Marco, Biedinger, Christine, Fiedler, Jochen, Koprucki, Thomas, Iglezakis, Dorothea, und Göddeke, Dominik. im Druck. „Towards a Knowledge Graph for Models and Algorithms in Applied Mathematics.“ In Proceedings of the 18th International Conference on Metadata and Semantics Research 2024 Heidelberg: Springer.
• Kleikamp, Hendrik, und Ohlberger, Mario. 2024. „Adaptive Model Hierarchies for Multi-Query Scenarios.“ arXiv doi: 10.48550/arXiv.2411.17252.
• Engwer, Christian, Ohlberger, Mario, und Renelt, Lukas. 2024. „Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems.“ SIAM Journal on Scientific Computing, Nr. 46 (5): A3205–A3229. doi: 10.1137/23M1613402.
• Kleikamp, Hendrik, und Wenzel, Tizian. 2024. „Kernel Methods in the Deep Ritz framework: Theory and practice.“ arXiv doi: 10.48550/arXiv.2410.03503.
• Kartmann, Michael, Keil, Tim, Ohlberger, Mario, Volkwein, Stephan, und Kaltenbacher, Barbara. 2024. „Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems.“ Computational Science and Engineering, Nr. 1 (3): 1–30. doi: 10.1007/s44207-024-00002-z.
• Engwer, Christian, Ohlberger, Mario, und Renelt, Lukas. 2024. „Construction of local reduced spaces for Friedrichs' systems via randomized training.“ Beitrag präsentiert auf der Central-European Conference on Scientific Computing, ALGORITMY, Podbanské
• Gander, Martin J, Ohlberger, Mario, und Rave, Stephan. 2024. „A Parareal algorithm without Coarse Propagator?“ arXiv doi: 10.48550/arXiv.2409.02673.
• Kleikamp, Hendrik, und Renelt, Lukas. 2024. „Two-stage model reduction approaches for the efficient and certified solution of parametrized optimal control problems.“ arXiv doi: 10.48550/arXiv.2408.15900.
• Kleikamp, Hendrik. 2024. „Application of an adaptive model hierarchy to parametrized optimal control problems.“ In
• Keil Tim, Ohlberger Mario. 2024. „A Relaxed Localized Trust-Region Reduced Basis Approach for Optimization of Multiscale Problems.“ ESAIM: Mathematical Modelling and Numerical Analysis, Nr. 58: 79–105. doi: 10.1051/m2an/2023089.

2023

• Landstorfer, M, Ohlberger, M, Rave, S, und Tacke, M. 2023. „A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells.“ European Journal of Applied Mathematics, Nr. 34 (3): 554–591. doi: 10.1017/S0956792522000353.
• Ohlberger, M., Banholzer, S., Haasdonk, B., Keil, T.Kleikamp H., Mechelli, L., Oguntola, M, Schindler F., Volkwein, S., und Wenzel, T. 2023. „Model Reduction and Learning for PDE Constrained Optimization.“ Beitrag präsentiert auf der Oberwolfach Workshop on Optimization Problems for PDEs in Weak Space-Time Form, Oberwolfach doi: 10.4171/OWR/2023/13.
• Schleuß, Julia, Smetana, Kathrin, und ter Maat, Lukas. 2023. „Randomized quasi-optimal local approximation spaces in time.“ SIAM Journal on Scientific Computing, Nr. 45 (3) doi: 10.1137/22M1481002.
• Julia Schleuß, Kathrin Smetana. 2023. „DEIM vs. leverage scores for time-parallel construction of problem-adapted basis functions.“ arXiv doi: 10.48550/arXiv.2302.00348.
• Himpe, Christian, und Grundel, sara. 2023. „System Order Reduction for Gas and Energy Networks.“ Beitrag präsentiert auf der 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Aachen doi: 10.1002/pamm.202200201.
• Renelt, Lukas, Ohlberger, Mario, und Engwer, Christian. 2023. „An optimally stable approximation of reactive transport using discrete test and infinite trial spaces.“ In Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems, Springer Proceedings in Mathematics & Statistics, herausgegeben von Emmanuel Franck, Jürgen Fuhrmann, Michel-Dansac Victor und Laurent Navoret. Heidelberg: Springer. doi: 10.1007/978-3-031-40860-1_30.
• Kleikamp, Hendrik, Lazar, Martin, und Molinari, Cesare. im Druck. „Be greedy and learn: efficient and certified algorithms for parametrized optimal control problems.“ arXiv doi: 10.48550/arXiv.2307.15590.
• Haasdonk, B, Kleikamp, H, Ohlberger, M, Schindler, F, und Wenzel, T. 2023. „A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs.“ SIAM Journal on Scientific Computing, Nr. 45 (3): A1039–1065. doi: 10.1137/22M1493318.

2022

• Haasdonk, B, Ohlberger, M, und Schindler, F. 2022. „An adaptive model hierarchy for data-augmented training of kernel models for reactive flow.“ In MATHMOD 2022 Discussion Contribution Volume, herausgegeben von Felix Breitenecker, Wolfgang Kemmetmüller, Andreas Körner, Andreas Kugi und Inge Troch. Wien: ARGESIM Verlag. doi: 10.11128/arep.17.a17155.
• Benner, P., Burger, M., Göddeke, D., Himpe, C., Hintermüller, M., Heiland, J., Koprucki, T., Ohlberger, M., Rave, S., Reidelbach, M., Saak, J., Schöbel, A., und Tabelow, K. 2022. „Die Mathematische Forschungsdateninitiative in der NFDI: MaRDI (Mathematical Research Data Initiative).“ GAMM Rundbrief, Nr. 1/2022: 40–43.
• Singh, A, Thale, S, Leibner, T, Ricker, A, Nüsse, H, Klingauf, J, Ohlberger, M, und Matis, M. 2022. „Dynamic interplay of protrusive microtubule and contractile actomyosin forces drives tissue extension.“ eLife, Nr. 2022 doi: 10.1101/2022.06.21.496930.
• Julia Schleuß, Kathrin Smetana. 2022. „Optimal local approximation spaces for parabolic problems.“ Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Nr. 20 (1) doi: 10.1137/20M1384294.
• Fritze, René, und Rave, Stephan. 2022. „Specification and Validation of Numerical Algorithms with the Gradual Contracts Pattern.“ In Testing Software and Systems, Lecture Notes in Computer Science, herausgegeben von David Clark, Hector Menendez und Ana Rosa Cavalli. Basel: Springer International Publishing.
• Himpe, Christian, Grundel, Sara, und Benner, Peter. 2022. „Next-Gen Gas Network Simulation.“ In Progress in Industrial Mathematics at ECMI 2021, Bd. 39 aus Mathematics in Industry, herausgegeben von Matthias Ehrhardt und Michael Günther. Heidelberg: Springer. doi: 10.1007/978-3-031-11818-0_15.
• Gavrilenko Pavel, Haasdonk Bernard, Iliev Oleg, Ohlberger Mario, Schindler Felix, Toktaliev Pavel, und 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, Bd. 13127 aus Lecture Notes in Computer Science (LNCS), herausgegeben von Margenov Svetozar Lirkov Ivan. Düsseldorf: Springer VDI 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, Bd. 13127 aus Lecture Notes in Computer Science (LNCS), herausgegeben von Margenov Svetozar Lirkov Ivan. Basel: Springer International Publishing. doi: 10.1007/978-3-030-97549-4_2.
• Gander, Martin, und Rave, Stephan. 2022. „Localized Reduced Basis Additive Schwarz Methods.“ In Domain Decomposition Methods in Science and Engineering XXVI, herausgegeben von Susanne C. Brenner Brenner, Eric Chung, Axel Klawonn, Felix Kwok, Jinchao Xu und Jun Zou. Basel: Springer International Publishing. doi: 10.1007/978-3-030-95025-5_52.
• Banholzer, S, Keil, T, Mechelli, L, Ohlberger, M, Schindler, F, und Volkwein, S. 2022. „An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization.“ Pure and Applied Functional Analysis, Nr. 7 (5): 1561–1596.
• Fokina, D, Iliev, O, Toktaliev, P, Oseledets, I, und Schindler, F. 2022. „On the Performance of Machine Learning Methods for Breakthrough Curve Prediction.“ arXiv [physics.flu-dyn], Nr. 2204.11719 doi: 10.48550/arXiv.2204.11719.
• Hendrik, Kleikamp, Mario, Ohlberger, und Stephan, Rave. 2022. „Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain.“ In MATHMOD 2022 - Discussion Contribution Volume, Bd. 17 aus ARGESIM Report, herausgegeben von Felix Breitenecker, Wolfgang Kemmetmüller, Andreas Körner, Andreas Kugi und Inge Troch. Wien: ARGESIM Verlag. doi: 10.11128/arep.17.a17129.
• 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, und 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, Nr. 1: 121–123. doi: 10.17192/bfdm.2022.1.8412.
• Himpe, C, Grundel, S, und Benner, P. 2022. „Efficient Gas Network Simulations.“ In German Success Stories in Industrial Mathematics, Bd. 35 aus Mathematics in Industry, herausgegeben von HG Bock, KH Küfer, P Maass, A Milde und V Schulz. doi: 10.1007/978-3-030-81455-7_4.
• Keil, T, Kleikamp, H, Lorentzen, R, Oguntola, M, und Ohlberger, M. 2022. „Adaptive machine learning based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery.“ Advances in Computational Mathematics, Nr. 2022 (48) 73. doi: 10.1007/s10444-022-09981-z.
• Leibner, Tobias. 2022. „Model reduction for kinetic equations: moment approximations and hierarchical approximate proper orthogonal decomposition.“ Dissertationsschrift, Universität Münster.

2021

• Brunken, Julia. 2021. „Stable and efficient Petrov-Galerkin methods for certain (kinetic) transport equations.“ Dissertationsschrift, Universität Münster.
• Bastian, P, Blatt, M, Dedner, A, Dreier, N, Engwer, C, Fritze, R, Gräser, C, Kempf, D, Klöfkorn, R, Ohlberger, M, und Sander, O. 2021. „The DUNE Framework: Basic Concepts and Recent Developments.“ Computers & Mathematics with Applications, Nr. 81: 75–112. doi: 10.1016/j.camwa.2020.06.007.
• Buhr Andreas, Iapichino Laura, Ohlberger Mario, Rave Stephan, und Schindler Felix, Smetana Kathrin. 2021. „Localized model reduction for parameterized problems.“ In Model Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, herausgegeben von P Benner, S Grivet-Talocia, A Quarteroni, G Rozza, W Schilders und L Sileira. doi: 10.1515/9783110671490-006.
• Fehr, J, Himpe, C, Rave, S, und Saak, J. 2021. „Sustainable Research Software Hand-Over.“ Journal of Open Research Software, Nr. 9 (1) doi: 10.5334/jors.307/.
• Leibner, T, und 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, Nr. 55: 2567–2608. doi: 10.1051/m2an/2021065.
• Keil, T, Mechelli, L, Ohlberger, M, Schindler, F, und 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, Nr. 55: 1239–1269. doi: 10.1051/m2an/2021019.
• Leibner, T, Matis, M, Ohlberger, M, und Rave, S. 2021. „Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD.“ arXiv [math.NA], Nr. 2111.00129
• Himpe, C. 2021. „Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms.“ In Model Reduction of Complex Dynamical Systems, Bd. 171 aus International Series of Numerical Mathematics, herausgegeben von P Benner, T Breiten, H Faßbender, M Hinze, T Stykel und R Zimmermann. doi: 10.1007/978-3-030-72983-7_7.
• Himpe, C, Grundel, S, und Benner, P. 2021. „Model Order Reduction for Gas and Energy Networks.“ Journal of Mathematics in Industry, Nr. 11: 13. doi: 10.1186/s13362-021-00109-4.
• Clees, T, Baldin, A, Benner, P, Grundel, S, Himpe, C, Klaassen, B, Küsters, F, Marheineke, N, Nikitina, L, Nikitin, I, Pade, J, Stahl, N, Strohm, C, Tischendorf, C, und Wirsen, A. 2021. „MathEnergy – Mathematical Key Technologies for Evolving Energy Grids.“ In Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, Bd. 34 aus Mathematics in Industry, herausgegeben von S Göttlich, M Herty und A Milde. doi: 10.1007/978-3-030-62732-4_11.

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, und Turek, S. 2020. „Exa-Dune -- Flexible PDE Solvers, Numerical Methods and Applications.“ In Software for Exascale Computing - SPPEXA 2016-2019, Bd. 136 aus LNCSE, herausgegeben von Reiz Severin. Uekermann Benjamin Bungartz Hans-Joachim und Nagel Wolfgang E Neumann Philipp. Basel: Springer International Publishing. doi: 10.1007/978-3-030-47956-5_9.
• Ohlberger Mario, Schweizer Ben, und Urban Maik, Verfürth Barbara. 2020. „Mathematical analysis of transmission properties of electromagnetic meta-materials.“ Networks and Heterogeneous Media, Nr. 15 (1): 29–56. doi: 10.3934/nhm.2020002.
• Kathrin, Brunken Julia Smetana. 2020. „Stable and efficient Petrov-Galerkin methods for a kinetic Fokker-Planck equation.“ arXiv, Nr. 2020
• Buchfink, P, Haasdonk, B, und Rave, S. 2020. „PSD-Greedy Basis Generation for Structure-Preserving Model Order Reduction of Hamiltonian Systems.“ Beitrag präsentiert auf der ALGORITMY 2020, Vysoké Tatry
• Anzt, H, Bach, F, Druskat, S, Löffler, F, Loewe, A, Renard, B, Seemann, G, Struck, A, Achhammer, E, Aggarwal, P, Appel, F, Bader, M, Brusch, L, Busse, C, Chourdakis, G, Dabrowski, P, Ebert, P, Flemisch, B, Friedl, S, Fritzsch, B, Funk, M, Gast, V, Goth, F, Grad, J, Hermann, S, Hohmann, F, Janosch, S, Kutra, D, Linxweiler, J, Muth, T, Peters-Kottig, W, Rack, F, Raters, F, Rave, S, Reina, G, Reißig, M, Ropinski, T, Schaarschmidt, J, Seibold, H, Thiele, J, Uekermann, B, Unger, S, und Weeber, R. 2020. „An environment for sustainable research software in Germany and beyond: current state, open challenges, and call for action.“ F1000Research, Nr. 9 (295) doi: 10.12688/f1000research.23224.1.
• Bansal, H, Rave, S, Iapichino, L, Schilders, WHA, und van de, Wouw N. 2020. „Model order reduction framework for problems with moving discontinuities.“ Beitrag präsentiert auf der Proceedings of ENUMATH 2019, Egmond aan Zee
• Rave, S, und Saak, J. im Druck. „A Non-stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction.“ Beitrag präsentiert auf der ENUMATH 2019, Graz Heidelberg: Springer.
• Mlinarić, P, Rave, S, und Saak, J. im Druck. „Parametric model order reduction using pyMOR.“ Beitrag präsentiert auf der MODRED 2019, Graz Heidelberg: Springer.
• Schneider, Florian, und Leibner, Tobias. 2020. „First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: Model derivation and realizability theory.“ Journal of Computational Physics, Nr. 416: 109547. doi: 10.1016/j.jcp.2020.109547.
• Fredrik, Hellman, Tim, Keil, und Axel, Målqvist. 2020. „Numerical Upscaling of Perturbed Diffusion Problems.“ SIAM Journal on Scientific Computing, Nr. 2020 (Volume 42, Issue 4): A2014–A2036. doi: 10.1137/19M1278211.

2019

• Benner, P, und Himpe, C. 2019. „Cross-Gramian-Based Dominant Subspaces.“ Advances in Computational Mathematics, Nr. 45 (5): 2533–2553. doi: 10.1007/s10444-019-09724-7.
• Grundel, S, Himpe, C, und Saak, J. 2019. „On Empirical System Gramians.“ In Bd. 19 aus Proceedings in Applied Mathematics and Mechanics (PAMM) doi: 10.1002/pamm.201900006.
• Feinauer, J, Hein, S, Rave, S, Schmidt, S, Westhoff, D, Zausch, J, Iliev, O, Latz, A, Ohlberger, M, und 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, Nr. 31: 172–184. doi: 10.1016/j.jocs.2018.03.006.
• Lehrenfeld Christoph, Rave Stephan. 2019. „Mass Conservative Reduced Order Modeling of a Free Boundary Osmotic Cell Swelling Problem.“ Advances in Computational Mathematics, Nr. 45 (5): 2215–2239. doi: 10.1007/s10444-019-09691-z.
• Brunken, Julia, Smetana, Kathrin, und Urban, Karsten. 2019. „(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods.“ SIAM Journal on Scientific Computing, Nr. 41 (1) doi: 10.1137/18M1176269.
• Hain, S, Ohlberger, M, Radic, M, und Urban, K. 2019. „A Hierarchical A-Posteriori Error Estimatorfor the Reduced Basis Method.“ Advances in Computational Mathematics, Nr. 45: 2191–2214. doi: 10.1007/s10444-019-09675-z.
• Balicki, L, Mlinarić, P, Rave, S, und Saak, J. 2019. „System-theoretic model order reduction with pyMOR.“ PAMM, Nr. 19 doi: 10.1002/pamm.201900459.
• Ohlberger, M, Buhr, A, Eikhorn, D, Engwer, C, und Rave, S. 2019. „Advances in Model Order Reduction for Large Scale or Multi-Scale Problems.“ Oberwolfach Reports, Nr. 16 (3): 2510–2512. doi: 10.4171/OWR/2019/40.
• Fredrik, Hellman, Tim, Keil, und Axel, Målqvist. 2019. „Multiscale methods for perturbed diffusion problems.“ Oberwolfach Reports, Nr. 16: 2099–2181. doi: 10.4171/OWR/2019/35.
• Schleuß, Julia. 2019. Master's thesis, Optimal local approximation spaces for parabolic problems (Master's thesis),
• Rave Stephan, Schindler Felix. 2019. „A locally conservative reduced flux reconstruction for elliptic problems.“ In Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bd. 19 , herausgegeben von J Eberhardsteiner und M Schöberl. New York City: John Wiley & Sons. doi: 10.1002/pamm.201900026.
• Schneider, Florian, und Leibner, Tobias. 2019. „First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: realizability-preserving splitting scheme and numerical analysis.“ arXiv, Nr. 2019

2018

• Benner, P, Himpe, C, und Mitchell, T. 2018. „On Reduced Input-Output Dynamic Mode Decomposition.“ Advances in Computational Mathematics, Nr. 44 (6): 1751–1768. doi: 10.1007/s10444-018-9592-x.
• Benner, P, Grundel, S, Himpe, C, Huck, C, Streubel, T, und Tischendorf, C. 2018. „Gas Network Benchmark Models.“ In Applications of Differential-Algebraic Equations: Examples and Benchmarks, Differential-Algebraic Equations Forum, herausgegeben von S Campbell, A Ilchmann, V Mehrmann und T Reis. doi: 10.1007/11221_2018_5.
• Himpe, C. 2018. „emgr - The Empirical Gramian Framework.“ Algorithms, Nr. 11 (7): 91. doi: 10.3390/a11070091.
• Benner, P, Grundel, S, und Himpe, C. 2018. „Parametric Model Order Reduction for Gas Flow Models.“ In Bd. MoRePaS 4 aus ScienceOpen Posters ScienceOpen. doi: 10.14293/P2199-8442.1.SOP-MATH.EJOCET.v1.
• Himpe, C, Leibner, T, und Rave, S. 2018. „HAPOD - Fast, Simple and Reliable Distributed POD Computation.“ In Bd. 55 aus ARGESIM Report doi: 10.11128/arep.55.a55283.
• Kottke, Kathrin, Deninger, Christopher, und Ohlberger, Mario. 2018. „Mathematik Münster: Dynamik – Geometrie – Struktur.“ Mitteilungen der Deutschen Mathematiker-Vereinigung, Nr. 26 (4): 189–193. doi: 10.1515/dmvm-2018-0058.
• Gallistl, D, Henning, P, und Verfürth, B. 2018. „Numerical homogenization of H(curl)-problems.“ SIAM J. Numer. Anal., Nr. 56 (3): 1570–1596. doi: 10.1137/17M1133932.
• Ohlberger, M, und Verfürth, B. 2018. „A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast.“ Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Nr. 16 (1): 385–411. doi: 10.1137/16M1108820.
• Verfürth, B. 2018. „Numerical multiscale methods for Maxwell's equations in heterogeneous media.“ Dissertationsschrift, Universität Münster.
• Eickhorn, Dennis. 2018. Randomisierte lokalisierte Modellreduktion mit Robin-Transferoperator (Masterarbeit),
• Ohlberger Mario, Rave Stephan, und Schindler Felix, Wedemeier Tobias. 2018. „Model reduction for parameterized systems and inverse problems.“ Oberwolfach Reports, Nr. 2018 (39): 2454–2457. doi: 10.4171/OWR/2018/39.
• Himpe, C, Leibner, T, und Rave, S. 2018. „Hierarchical Approximate Proper Orthogonal Decomposition.“ SIAM Journal on Scientific Computing, Nr. 40 (5): A3267–A3292.
• Mario, Ohlberger, Michael, Schaefer, und Felix, Schindler. 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 , Bd. 169 aus International Series of Numerical Mathematics, herausgegeben von V Schulz und D Seck. Basel: Birkhäuser Verlag. doi: 10.1007/978-3-319-90469-6_8.
• Verfürth, B. im Druck. „Heterogeneous Multiscale Method for the Maxwell equations with high contrast.“ ESAIM Math. Model. Numer. Anal., Nr. xx

2017

• Baur, U, Benner, P, Haasdonk, B, Himpe, C, Martini, I, und Ohlberger, M. 2017. „Comparison of methods for parametric model order reduction of instationary problems.“ In Model Reduction and Approximation: Theory and Algorithms., Bd. 15 aus CS, herausgegeben von P Benner, A Cohen, M Ohlberger und K Willcox. Philadelphia: SIAM Publications. doi: 10.1137/1.9781611974829.ch9.
• Ohlberger, Mario. 2017. „Book review of: A. Quarteroni et al., Reduced basis methods for partial differential equations. An introduction.“ SIAM Rev., Nr. 59 (3): 690–692.
• Buhr Andreas, Smetana Kathrin. 2017. „Randomized Local Model Order Reduction.“ arXiv:1706.09179.
• Benner, P, Ohlberger, M, Patera, A, Rozza, G, und Urban, K, Hrsg. 2017. MS&A, Bd. 17, Model Reduction of Parametrized Systems. Basel: Springer International Publishing. doi: 10.1007/978-3-319-58786-8.
• Barth, T, Herbin, R, und Ohlberger, M. 2017. „Finite Volume Methods: Foundation and Analysis.“ In Encyclopedia of Computational Mechanics, herausgegeben von E Stein, R de Borst und T Hughes. New York City: John Wiley & Sons. doi: 10.1002/9781119176817.ecm2010.
• Ohlberger, M, und 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, herausgegeben von C Cancès und P Omnes. Basel: Springer International Publishing. doi: 10.1007/978-3-319-57394-6_38.
• Benner, P, Cohen, A, Ohlberger, M, und Willcox, K. 2017. Computational Science and Engineering, Bd. 15, Model Reduction and Approximation: Theory and Algorithms, Philadelphia: SIAM Publications. doi: 10.1137/1.9781611974829.
• Dedner, Andreas, Girke, Stefan, Klöfkorn, Robert, und Malkmus, Tobias. 2017. „The DUNE-FEM-DG module.“ Archive of Numerical Software, Nr. 5 (1): 21–61. doi: 10.11588/ans.2017.1.28602.
• Leibner, T, Milk, R, und Schindler, F. 2017. „Extending DUNE: The dune-xt modules.“ Archive of Numerical Software, Nr. 5 (1): 193–216. doi: 10.11588/ans.2017.1.27720.
• Verfürth, B. 2017. „Heterogeneous Multiscale Method for a Helmholtz problem with high contrast.“ Beitrag präsentiert auf der Winter school on Numerical Analysis of Multiscale Problems, HIM Bonn, Germany
• Ohlberger, M, Rave, S, und Schindler, F. 2017. „True Error Control for the Localized Reduced Basis Method for Parabolic Problems.“ In Model Reduction of Parametrized Systems, Bd. 17 aus MS&A (Modeling, Simulation and Applications), herausgegeben von P. Benner, M. Ohlberger, A. Patera, G. Rozza und K. Urban. Basel: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_11.
• Ohlberger, M, und Rave, S. 2017. „Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry.“ In Model Reduction of Parametrized Systems, Bd. 17 aus MS&A (Modeling, Simulation and Applications), herausgegeben von P. Benner, M. Ohlberger, A. Patera, G. Rozza und K. Urban. Basel: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_13.
• Himpe, C, und Ohlberger, M. 2017. „Cross-Gramian-Based Model Reduction: A Comparison.“ In Model Reduction of Parametrized Systems, Bd. 17 aus MS&A (Modeling, Simulation and Applications), herausgegeben von P Benner, M Ohlberger, A Patera, G Rozza und K Urban. Basel: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_17.
• Buhr, A, Engwer, C, Ohlberger, M, und Rave, S. 2017. „ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics.“ In Model Reduction of Parametrized Systems, Bd. 17 aus MS&A (Modeling, Simulation and Applications), herausgegeben von P. Benner, M. Ohlberger, A. Patera, G. Rozza und K. Urban. Basel: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_9.
• Buhr, A, Engwer, C, Ohlberger, M, und Rave, S. 2017. „ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications.“ SIAM Journal on Scientific Computing, Nr. 39 (4): A1435–A1465. doi: 10.1137/15M1054213.
• Himpe, C, Leibner, T, Rave, S, und Saak, J. 2017. „Fast Low-Rank Empirical Cross Gramians.“ PAMM, Nr. 17 (1): 841–842. doi: 10.1002/pamm.201710388.
• Keil, Tim. 2017. Variational crimes in the Localized orthogonal decomposition method (master's thesis),
• Verfürth, B. 2017. „Numerical homogenization for indefinite H(curl)-problems.“ In Proceedings of Equadiff 2017 Conference, herausgegeben von K Mikula, D Sevcovic und J Urban.
• Ohlberger, M, und Verfürth, B. 2017. „Localized Orthogonal Decomposition for two-scale Helmholtz-type problems.“ AIMS Mathematics, Nr. 2 (3): 458–478. doi: 10.3934/Math.2017.2.458.
• Smetana, K, und 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., Nr. 51 (2): 641–677. doi: 10.1051/m2an/2016031.

2016

• Fehr, J, Heiland, J, Himpe, C, und Saak, J. 2016. „Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction.“ AIMS Mathematics, Nr. 1 (3): 261--281. doi: 10.3934/Math.2016.3.261.
• Ohlberger, M, Rave, S, und Schindler, F. 2016. „Model Reduction for Multiscale Lithium-Ion Battery Simulation.“ In Numerical Mathematics and Advanced Applications ENUMATH 2015, Bd. 112 aus Lecture Notes in Computational Science and Engineering, herausgegeben von B Karasözen, M Manguoğlu, M Teuer-Sezgin, S Göktepe und Ö Uğur. Heidelberg: Springer. doi: 10.1007/978-3-319-39929-4_31.
• Henning, P, Ohlberger, M, und Verfürth, B. 2016. „A new Heterogeneous Multiscale Method for time-harmonic Maxwell's equations.“ SIAM J. Numer. Anal., Nr. 54 (6): 3493–3522. doi: 10.1137/15M1039225.
• Lehrenfeld, C, und Reusken, A. 2016. „Optimal Preconditioners for Nitsche-XFEM Discretizations of Interface Problems.“ Numerische Mathematik, Nr. 2016 doi: 10.1007/s00211-016-0801-6.
• Falconi, Delgado C, Lehrenfeld, C, Marschall, H, Meyer, C, Abiev, R, Bothe, D, Reusken, A, Schlüter, M, und Wörner, M. 2016. „Numerical and Experimental Analysis of Local Flow Phenomena in Laminar Taylor Flow in a Square Mini-Channel.“ Physics of Fluids, Nr. 28 (1): 012109.
• Lehrenfeld, C, und Schöberl, J. 2016. „High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows.“ Comp. Meth. Appl. Mech. Eng., Nr. 2016 doi: 10.1016/j.cma.2016.04.025.
• Ohlberger, M, und 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., Nr. 321: 1185–1205. doi: 10.1016/j.jcp.2016.06.021.
• Schindler, und F. 2016. „Model reduction for parametric multi-scale problems.“ Dissertationsschrift, Westfälische Wilhelms-Universität Münster.
• Milk, R, Rave, S, und Schindler, F. 2016. „pyMOR - Generic algorithms and interfaces for model order reduction.“ SIAM Journal on Scientific Computing, Nr. 38 (5): S194–S216. doi: 10.1137/15M1026614.
• Ohlberger, M, Rave, S, und Schindler, F. 2016. „Adaptive Localized Model Reduction.“ Oberwolfach Reports, Nr. 13 (3): 2406–2409. doi: 10.4171/OWR/2016/42.
• Henning, P, und 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, Nr. 9 (5): 1393–1420. doi: 10.3934/dcdss.2016056.
• Brunken Julia, Leibner Tobias, und Ohlberger Mario, Smetana Kathrin. 2016. „Problem adapted hierachical model reduction for the Fokker-Planck equation.“ In ALGORITMY 2016 Proceedings of contributed papers and posters, herausgegeben von Sevcovic Daniel Handlovicova Angela. Bratislava: Publishing House of Slovak University of Technology.
• Engwer, C, Henning, P, M\ralqvist, A, und Peterseim, D. 2016. „Efficient implementation of the Localized Orthogonal Decomposition method.“ arXiv.
• Bastian, P, Engwer, C, Fahlke, J, Geveler, M, Göddeke, D, Iliev, O, Ippisch, O, Milk, R, J, M, Müthing, S, Ohlberger, M, Ribbrock, D, und Turek, S. 2016. „Advances concerning multiscale methods and uncertainty quantification in EXA-DUNE.“ In Software for Exascale Computing - SPPEXA 2013-2015, Bd. 113 aus Lecture Notes in Computational Science and Engineering, herausgegeben von Hans-Joachim Bungartz, Philipp Neumann und Wolfgang E. Nagel. 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, und Turek, S. 2016. „Hardware-based Efficiency Advances in the EXA-DUNE Project.“ In Software for Exascale Computing - SPPEXA 2013-2015, Bd. 113 aus Lecture Notes in Computational Science and Engineering, herausgegeben von Hans-Joachim Bungartz, Philipp Neumann und Wolfgang E. Nagel. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-319-40528-5_1.
• Ohlberger, M, und 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, herausgegeben von A.Handlovičova and D. Sevčovič. Bratislava: Publishing House of Slovak University of Technology.
• Henning, P, Ohlberger, M, und Verfürth, B. 2016. „Analysis of multiscale methods for time-harmonic Maxwell's equations.“ Proc. Appl. Math. Mech., Nr. 16 (1): 559–560. doi: 10.1002/pamm.201610268.
• Smetana, Kathrin, und Patera, Anthony T. 2016. „Optimal local approximation spaces for component-based static condensation procedures.“ SIAM J. Sci. Comput., Nr. 38 (5): A3318––A3356. doi: 10.1137/15M1009603.
• Himpe, C, und Ohlberger, M. 2016. „A note on the cross Gramian for non-symmetric systems.“ System Science and Control Engineering, Nr. 4 (1): 199–208. doi: 10.1080/21642583.2016.1215273.
• Lehrenfeld, C, und Reusken, A. 2016. „L2-estimates for a high order unfitted finite element method for elliptic interface problems.“ arXiv eprints.
• Lehrenfeld, Christoph. 2016. „High order unfitted finite element methods on level set domains using isoparametric mappings.“ Comp. Meth. Appl. Mech. Eng., Nr. 300 (1): 716–733. doi: 10.1016/j.cma.2015.12.005.
• Lehrenfeld, C, und Reusken, A. 2016. „Analysis of a high order unfitted finite element method for elliptic interface problems.“ arXiv preprint arXiv:1602.02970, Nr. 1602.02970

2015

• Henning, P, und Ohlberger, M. 2015. „Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems.“ Discrete and Continuous Dynamical Systems - Series S, Nr. 8 (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, Nr. 2/2015: 141–144. doi: 10.4171/OWR/2015/2.
• Himpe, C, und Ohlberger, M. 2015. „The Versatile Cross Gramian.“ In Bd. Morepas 3 aus ScienceOpen Posters scienceopen. doi: 10.14293/P2199-8442.1.SOP-MATH.PSAHPZ.v1.
• Benner, P, Ohlberger, M, Patera, A, Rozza, G, Sorensen, D, und Urban, K. 2015. „Model order reduction of parameterized systems (MoRePaS).“ Advances in Computational Mathematics, Nr. 41 (5): 955–960. doi: 10.1007/s10444-015-9443-y.
• Buhr, A, und Ohlberger, M. 2015. „Interactive Simulations Using Localized Reduced Basis Methods.“ In IFAC-PapersOnLine, Bd. 48(1) doi: 10.1016/j.ifacol.2015.05.134.
• Jan, Mohring, Rene, Milk, Adrian, Ngo, Ole, Klein, Oleg, Iliev, Mario, Ohlberger, und Peter, Bastian. 2015. „Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo.“ In Proceedings of 10th International Conference on Large-Scale Scientific Computations, Sozopol 2015, Bd. 9374 aus Lecture Notes in Computational Science, herausgegeben von I. Lirkov, S.D. Margenov und J. Wasniewski. Basel: Springer International Publishing. doi: 10.1007/978-3-319-26520-9_15.
• Himpe, C, und Ohlberger, M. 2015. „The Empirical Cross Gramian for Parametrized Nonlinear Systems.“ In Bd. 48(1) aus IFAC-PapersOnLine doi: 10.1016/j.ifacol.2015.05.163.
• Ohlberger, M, und Schindler, F. 2015. „Error control for the localized reduced basis multi-scale method with adaptive on-line enrichment.“ SIAM J. Sci. Comput., Nr. 37 (6): A2865–A2895. doi: 10.1137/151003660.
• Himpe, C, und Ohlberger, M. 2015. „Accelerating the Computation of Empirical Gramians and Related Methods.“ Beitrag präsentiert auf der 5th International Workshop on Model Reduction in Reacting Flows, Spreewald doi: 10.5281/zenodo.46643.
• Lehrenfeld, C, und Reusken, A. 2015. „Finite Element Techniques for the Numerical Simulation of Two-Phase Flows with Mass Transport.“ In Computational Methods for Complex Liquid-Fluid Interfaces, herausgegeben von CRC Press.
• Lehrenfeld, C. 2015. „The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions.“ SIAM J. Sci. Comput., Nr. 37: A245–A270. doi: 10.1137/130943534.
• Lehrenfeld, C. 2015. „On a Space-Time Extended Finite Element Method for the Solution of a Class of Two-Phase Mass Transport Problems.“ Dissertationsschrift, RWTH Aachen.
• Kaulmann, S, Flemisch, B, Haasdonk, B, Lie, K, und Ohlberger, M. 2015. „The Localized Reduced Basis Multiscale method for two-phase flows in porous media.“ International Journal for Numerical Methods in Engineering, Nr. 5 (102): 1018–1040. doi: 10.1002/nme.4773.
• Himpe, C, und Ohlberger, M. 2015. „Data-driven combined state and parameter reduction for inverse problems.“ Advances in Computational Mathematics, Nr. 41 (5): 1343–1364. doi: 10.1007/s10444-015-9420-5.
• Henning, P, Ohlberger, M, und Schweizer, B. 2015. „Adaptive Heterogeneous Multiscale Methods for immiscible two-phase flow in porous media.“ Computational Geosciences, Nr. 1 (19): 99–114. doi: 10.1007/s10596-014-9455-6.
• Smetana, Kathrin. 2015. „A new certification framework for the port reduced static condensation reduced basis element method.“ Computer Methods in Applied Mechanics and Engineering, Nr. 283: 352–383. doi: 10.1016/j.cma.2014.09.020.
• Leibner, Tobias. 2015. Numerical methods for kinetic equations (Master's thesis),

2014

• Himpe, C, und Ohlberger, M. 2014. „Combined State and Parameter Reduction.“ In Bd. 14 aus Proceedings in Applied Mathematics and Mechanics (PAMM) doi: 10.1002/pamm.201410393.
• Marschall, H, Boden, S, Lehrenfeld, C, Falconi, Delgado C, Hampel, U, Reusken, A, Wörner, M, und Bothe, D. 2014. „Validation of Interface Capturing and Tracking Techniques with different Surface Tension Treatments against a Taylor Bubble Benchmark Problem.“ Comput. & Fluids, Nr. 102: 336–352. doi: 10.1016/j.compfluid.2014.06.030.
• Haasdonk, B, und Ohlberger, M. 2014. „Wenn die Probleme zahlreicher werden: Reduzierte Basis Methoden f\ür effiziente und gesicherte numerische Simulation.“ GAMM Rundbrief, Nr. 2014/1: 6–13.
• Fuhrmann, J, Ohlberger, M, und Rohde, C. 2014. Springer Proceedings in Mathematics & Statistics, Bd. 77, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects - FVCA 7, Berlin, June 2014, Basel: Springer International Publishing. doi: 10.1007/978-3-319-05684-5.
• Fuhrmann, J, Ohlberger, M, und Rohde, C. 2014. Springer Proceedings in Mathematics & Statistics, Bd. 78, Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems - FVCA 7, Berlin, June 2014, Basel: Springer International Publishing. doi: 10.1007/978-3-319-05591-6.
• Girke, S, Klöfkorn, R, und 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, Bd. 78 aus Springer Proceedings in Mathematics & Statistics, herausgegeben von J Fuhrmann, M Ohlberger und C Rohde. Basel: Springer International Publishing. doi: 10.1007/978-3-319-05591-6_61.
• Ohlberger, M, und 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, Bd. 77 aus Springer Proceedings in Mathematics & Statistics, herausgegeben von Rohde C und ,. Basel: Springer International Publishing. doi: 10.1007/978-3-319-05684-5_41.
• Ohlberger, M, Rave, S, Schmidt, S, und 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, Bd. 78 aus Springer Proceedings in Mathematics & Statistics, herausgegeben von J Fuhrmann, M Ohlberger und C Rohde. Heidelberg: Springer. doi: 10.1007/978-3-319-05591-6_69.
• Ohlberger, M, und 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, Nr. 36 (2): A714–A736. doi: 10.1137/130939122.
• Berninger, H, Ohlberger, M, Sander, O, und Smetana, K. 2014. „Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions.“ Math. Models and Methods in Appl. Sciences, Nr. 24 (5): 901–936. doi: 10.1142/S0218202513500711.
• Himpe, C, und Ohlberger, M. 2014. „Model Reduction for Complex Hyperbolic Networks.“ Beitrag präsentiert auf der 13th European Control Conference (ECC), June 24-27, 2014, Strasbourg, France New York City: Wiley-IEEE Press. doi: 10.1109/ECC.2014.6862188.
• Himpe, C, und Ohlberger, M. 2014. „Cross-Gramian Based Combined State and Parameter Reduction for Large-Scale Control Systems.“ Mathematical Problems in Engineering, Nr. 2014: 1–13. doi: 10.1155/2014/843869.
• Henning, Patrick, Ohlberger, Mario, und Schweizer, Benn. 2014. „An adaptive Multiscale Finite Element Method.“ Multiscale Mod. Simul., Nr. 12 (3): 1078–1107. doi: 10.1137/120886856.
• Mikula, K, Ohlberger, M, und Urban, J. 2014. „Inflow-Implicit/Outflow-Explicit Finite Volume Methods for Solving Advection Equations.“ Applied Numerical Mathematics, Nr. 85: 16–37. doi: 10.1016/j.apnum.2014.06.002.
• Buhr, A, Engwer, C, Ohlberger, M, und 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, herausgegeben von Onate XO E. und A Huerta. Barcelona: CIMNE.
• Bastian, P, Engwer, C, Göddeke, D, Iliev, O, Ippisch, O, Ohlberger, M, Turek, S, Fahlke, J, Kaulmann, S, Müthing, S, und Ribbrock, D. 2014. „EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications.“ In Euro-Par 2014: Parallel Processing Workshops, Bd. 8806 aus Lecture Notes in Computer Science, herausgegeben von L. Lopes, J. Žilinskas, A. Costan, R.G. Cascella, G. Kecskemeti, E. Jeannot, M. Cannataro, L. Ricci, S. Benkner, S. Petit, V. Scarano, J. Gracia, S. Hunold, S.L. Scott, S. Lankes, C. Lengaue, J. Carretero, J. Breitbart und M. Alexander. Basel: Springer International Publishing. doi: 10.1007/978-3-319-14313-2_45.

2013

• Schöberl, J, und Lehrenfeld, C. 2013. „Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes.“ In Advanced Finite Element Methods and Applications, Bd. 66 aus Lecture Notes in Applied and Computational Mechanics, herausgegeben von Steinbach Olaf Apel Thomas. Düsseldorf: Springer VDI Verlag.
• Lehrenfeld, C, und Reusken, A. 2013. „Analysis of a DG-XFEM Discretization for a Class of Two-Phase Mass Transport Problems.“ SIAM J. Numer. Anal., Nr. 51: 958–983. doi: 10.1137/120875260.
• Aland, S, Lehrenfeld, C, Marschall, H, Meyer, C, und Weller, S. 2013. „Accuracy of Two-Phase Flow Simulations.“ In Proc. Appl. Math. Mech., Bd. 13 aus Proc. Appl. Math. Mech. Heidelberg: Springer. doi: 10.1002/pamm.201310278.
• Albrecht, F, und Ohlberger, M. 2013. „The localized reduced basis multi-scale method with online enrichment.“ Oberwolfach Reports, Nr. 7: 406–409. doi: 10.4171/OWR/2013/07.
• Ohlberger, M, und Rave, S. 2013. „Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing.“ C. R. Acad. Sci. Paris, Ser. I, Nr. 351: 901–906. doi: 10.1016/j.crma.2013.10.028.
• Ohlberger, M, und 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.
• Henning, P, Ohlberger, M, und Schweizer, B. 2013. „Homogenization of the degenerate two-phase flow equations.“ Math. Models and Methods in Appl. Sciences, Nr. 23 (12): 2323–2352. doi: 10.1142/S0218202513500334.
• Ohlberger, M, Albrecht, F, Drohmann, M, Henning, P, Kaulmann, S, und Schweizer, B. 2013. „Model reduction for multiscale problems.“ Oberwolfach Reports, Nr. 39: 2228–2230. doi: 10.4171/OWR/2013/39.
• Himpe, C, und Ohlberger, M. 2013. „A Unified Software Framework for Empirical Gramians.“ Journal of Mathematics, Nr. 2013 (2013): 1–6. doi: 10.1155/2013/365909.

2012

• Lehrenfeld, Christoph, und Reusken, Arnold. 2012. „Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem.“ SIAM J. Sci. Comput., Nr. 34: 2740–2759. doi: 10.1137/110855235.
• Christoph, Koutschan, Christoph, Lehrenfeld, und Joachim, Schöberl. 2012. „Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwells Equations.“ In Numerical and Symbolic Scientific Computing: Progress and Prospects, herausgegeben von Ulrich Langer PP. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-7091-0794-2_6.
• Bernard-Champmartin, A, Deriaz, E, Hoch, P, Samba, G, und Schaefer, M. 2012. „Extension of centered hydrodynamical schemes to unstructured deforming conical meshes: the case of circles.“ In CEMRACS'11: Multiscale Coupling of Complex Models in Scientific Computing Les Ulis: EDP Sciences. doi: 10.1051/proc/201238008.
• Drohmann, Martin, Haasdonk, Bernard, Ohlberger, und Mario. 2012. „Reduced Basis Model Reduction of Parametrized Two-Phase Flow in Porous Media.“ In 7th Vienna International Conference on Mathematical Modelling, Bd. 45 aus IFAC Proceedings Volumes 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, herausgegeben von Publishing House of STU Slovak University of Technology in Bratislava.
• Bastian, P, Berninger, H, Dedner, A, Engwer, C, Henning, P, Kornhuber, R, Kröner, D, Ohlberger, M, Sander, O, Schiffler, G, Shokina, N, und Smetana, K. 2012. „Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management.“ In Progress in Industrial Mathematics at ECMI 2010, Bd. 17 aus Mathematics in Industry, Heidelberg: Springer. doi: 10.1007/978-3-642-25100-9_65.
• Ohlberger, M, und 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
• Rave, S. 2012. „On Finitely Summable K-Homology.“ Dissertationsschrift, Universität Münster.
• Albrecht, F, Haasdonk, B, Kaulmann, S, und Ohlberger, M. 2012. „The Localized Reduced Basis Multiscale Method.“ Beitrag präsentiert auf der Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012, Vysoke Tatry, Podbanske Bratislava: Publishing House of Slovak University of Technology.

2011

• Ohlberger, M, und 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, herausgegeben von Aubry D. et al.. Barcelona: CIMNE.
• Drohmann, M, Haasdonk, B, und Ohlberger, M. 2011. „Adaptive Reduced Basis Methods for Nonlinear Convection-Diffusion Equations.“ In Finite Volumes for Complex Applications VI - Problems & Perspectives, Bd. 4 (1) aus Springer Proceedings in Mathematics, herausgegeben von Fort J. et al.. Heidelberg: Springer. doi: 10.1007/978-3-642-20671-9_39.
• Haasdonk, B, und 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, Nr. 17 (2): 145–161. doi: 10.1080/13873954.2010.514703.
• Mikula, K, und Ohlberger, M. 2011. „Inflow-Implicit/Outflow-Explicit scheme for solving advection equations.“ In Finite Volumes for Complex Applications VI - Problems & Perspectives, Bd. 4(1) aus Springer Proceedings in Mathematics, herausgegeben von Fort J. et al.. Heidelberg: Springer. doi: 10.1007/978-3-642-20671-9_72.
• Lehrenfeld, Christoph. 2011. „Nitsche-XFEM for a Transport Problem in Two- Phase Incompressible Flows.“ In Proc. Appl. Math. Mech., Bd. 11 New York City: John Wiley & Sons. doi: 10.1002/pamm.201110296.
• Haasdonk, B, Dihlmann, M, und 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, Nr. 2011 (17 (4)): 423–442. doi: 10.1080/13873954.2011.547674.
• Henning, P, und Ohlberger, M. 2011. „A Note on Homogenization of Advection-Diffusion Problems with Large Expected Drift.“ Zeitschrift für Analysis und ihre Anwendungen, Nr. 2011 (30(3)): 319–339. doi: 10.4171/ZAA/1437.

2010

• Mikula, K, und Ohlberger, M. 2010. „A New Inflow-Implicit/Outflow-Explicit Finite Volume Method for Solving Variable Velocity Advection Equations.“
• Ohlberger, M, und Smetana, K. 2010. „A new problem adapted hierarchical model reduction technique based on reduced basis methods and dimensional splitting.“
• Drohmann, M, Haasdonk, B, und Ohlberger, M. 2010. „Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation.“
• Lehrenfeld, Christoph. 2010. Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems,
• Dedner, A, Klöfkorn, R, Nolte, M, und Ohlberger, M. 2010. „A generic interface for parallel and adaptive scientific computing: Abstraction principles and the DUNE-FEM module.“ Computing, Nr. 90 (3-4): 165–196. doi: 10.1007/s00607-010-0110-3.
• Mikula, K, und 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, Nr. 32 (3): 1527–1544. doi: 10.1137/09075946X.
• Henning, P, und 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, Nr. 5 (4): 711–744. doi: 10.3934/nhm.2010.5.711.

2009

• Henning, P, und Ohlberger, M. 2009. „The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains.“ Numer. Math., Nr. 113: 601–629. doi: 10.1007/s00211-009-0244-4.
• 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, Nr. 59 (International Journal for Numerical Methods in Fluids): 333–354. doi: 10.1002/fld.1686.
• Henning, P, und 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.“
• Haasdonk, B, und Ohlberger, M. 2009. „Efficient reduced models for parametrized dynamical systems by offline/online decomposition.“
• Albrecht, F. 2009. Local Discontinuous Galerkin Verfahren für die Stokes Gleichungen und Homogenisierung in porösen Medien (Diplomarbeit),
• Drohmann, M, Haasdonk, B, und Ohlberger, M. 2009. „Reduced Basis Method for Finite Volume Approximation of Evolution Equations on Parametrized Geometries.“ Beitrag präsentiert auf der Proceedings of ALGORITMY 2009
• Haasdonk, B, und Ohlberger, M. 2009. „Space-adaptive reduced basis simulation for time-dependent problems.“
• Haasdonk, B, und Ohlberger, M. 2009. „Reduced Basis Method for Explicit Finite Volume Approximations of Nonlinear Conservation Laws.“ In Hyperbolic problems: theory, numerics and applications, Bd. 67 aus Proc. Sympos. Appl. Math. Providence, RI: American Mathematical Society.

2008

• Haasdonk, B, Ohlberger, M, und Rozza, G. 2008. „A reduced basis method for evolution schemes with parameter-dependent explicit operators.“ Electronic transactions on numerical analysis, Nr. 32: 145–161.
• Dedner, A, und Ohlberger, M. 2008. „A new $hp$-adaptive DG scheme for conservation laws based on error control.“ In Hyperbolic Problems: Theory, Numerics, Applications, herausgegeben von Serre Benzoni-Gavage. Berlin. doi: 10.1007/978-3-540-75712-2_15.
• Haasdonk, B, Ohlberger, M, und Rozza, G. 2008. „A reduced basis method for evolution schemes with parameter-dependent explicit operators.“ Electronic transactions on numerical analysis, Nr. 32: 145–161.
• Klöfkorn, R, Kröner, D, und Ohlberger, M. 2008. „Parallel and adaptive simulation of fuel cells in 3d.“ In Computational science and high performance computing III, Bd. 101 aus Notes Numer. Fluid Mech. Multidiscip. Des. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-540-69010-8_7.
• Goldsmith, F, Ohlberger, M, Schumacher, J, Steinkamp, K, und 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, Nr. 5 (Journal of Fuel Cell Science and Technology): 5. doi: 10.1115/1.2822884.
• Haasdonk, B, und Ohlberger, M. 2008. „Adaptive Basis Enrichment for the Reduced Basis Method Applied to Finite Volume Schemes.“ Beitrag präsentiert auf der Finite Volumes for Complex Applications VI Problems & Perspectives: FVCA 6, Prague
• Klöfkorn, R, Kröner, D, und Ohlberger, M. 2008. „Parallel adaptive simulation of PEM fuel cells.“ In Mathematics – Key Technology for the Future, herausgegeben von Jäger Krebs.
• Haasdonk, B, und Ohlberger, M. 2008. „Reduced Basis Method for Finite Volume Approximations of Parametrized Linear Evolution Equations.“ M2AN Math. Model. Numer. Anal., Nr. 42 (2): 277–302. doi: 10.1051/m2an:2008001.

2007

• Haasdonk, B, und Ohlberger, M. 2007. „Basis Construction for Reduced Basis Methods by Adaptive Parameter Grids.“
• Henning, P. 2007. Die Heterogene Mehrskalenmethode f\�r elliptische Differentialgleichungen in perforierten Gebieten,
• Fuhrmann, J, Haasdonk, B, Holzbecher, E, und Ohlberger, M. 2007. „Guest Editorial for Special Issue on Modelling and Simulation of PEM-FC.“ Journal of Fuel Cell Science and Technology, Nr. 2007 (Journal of Fuel Cell Science and Technology)
• Klöfkorn, R, Kröner, D, und Ohlberger, M. 2007. „Parallel and adaptive simulaiton of fuel cells in 3D.“
• Dedner, A, Makridakis, C, und Ohlberger, M. 2007. „Error control for a class of Runge-Kutta discontinuous Galerkin methods for nonlinear conservation laws.“ SIAM J. Numer. Anal., Nr. 45: 514–538.
• Ohlberger, M, und Schweizer, B. 2007. „Modelling of interfaces in unsaturated porous media.“ Discrete Contin. Dyn. Syst.(Dynamical Systems and Differential Equations. Proceedings of the 6th AIMSInternational Conference, suppl.): 794–803.
• Rave, S. 2007. Über die Entscheidbarkeit gewisser Prädikate in der Theorie der C*-Algebren, Münster.

2006

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

2005

• Dedner, A, Makridakis, C, und Ohlberger, M. 2005. „A new stable discontinuous Galerkin approximation for non-linear conservation laws on adaptively refined grids.“
• Ohlberger, M. 2005. „A posterior error estimates for the heterogenoeous mulitscale finite element method for elliptic homogenization problems.“ SIAM Multiscale Mod. Simul., Nr. 4 (1): 88–114.
• Ohlberger, M. 2005. „Error control for approximations of non-linear conservation laws.“
• Bastian, P, Droske, M, Engwer, C, Klöfkorn, R, Neubauer, T, Ohlberger, M, und Rumpf, M. 2005. „Towards a unified framework for scientific computing.“
• Ohlberger, M. 2005. „A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems.“ Multiscale Model. Simul., Nr. 4: 88–114.

2004

• Barth, T, und Ohlberger, M. 2004. „Finite volume methods: foundation and analysis.“
• Ohlberger, M. 2004. „Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media.“ Comp. Vis. Sci., Nr. 7 (1): 41–51.

2003

• Kröner, D, Küther, M, Ohlberger, M, und Rohde, C. 2003. „A posteriori error estimates and adaptive methods for hyperbolic and convection dominates parabolic conservation laws.“
• Küther, M, und Ohlberger, M. 2003. „Adaptive second order central schemes on unstructured staggered grids.“
• Haasdonk, B, Ohlberger, M, Rumpf, M, Schmidt, A, und Siebert, K. 2003. „Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations.“ Computing, Nr. 70 (Computing): 181–204.

2002

• Herbin, R, und Ohlberger, M. 2002. „A posteriori error estimate for finite volume approximations of convection diffusion problems.“
• Ohlberger, M, und Rohde, C. 2002. „Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems.“ IMA J. Numer. Anal., Nr. 22 (2): 253–280.
• Bürkle, D, und Ohlberger, M. 2002. „Adaptive finite volume methods for displacement problems in porous media.“ Comp. Vis. Sci., Nr. 5 (2): 95–106.
• Klöfkorn, R, Kröner, D, und Ohlberger, M. 2002. „Local adaptive methods for convection dominated problems.“ International Journal for Numerical Methods in Fluids, Nr. 40 (1-2): 79–91.
• Karlsen, KH, und Ohlberger, M. 2002. „A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations.“ J. Math. Anal. Appl., Nr. 275: 439–458.

2001

• Ohlberger, M. 2001. „A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations.“ Numerische Mathematik, Nr. 87 (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, und Siebert, K. 2001. „h-p-Multiresolution Visualization of Adaptive Finite Element Simulations.“
• Ohlberger, M. 2001. „A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations.“ M2AN Math. Model. Numer. Anal., Nr. 35: 355–387.

2000

• Kröner, D, und Ohlberger, M. 2000. „A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multidimensions.“ Math. Comp., Nr. 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, und Weikard, U. 1999. „A Procedural Interface for Multiresolutional Visualization of General Numerical Data.“
• Ohlberger, M. 1999. „Adaptive mesh refinement for single and two phase flow problems in porous media.“
• Ohlberger, M, und Rumpf, M. 1999. „Adaptive protection operators in multiresolution scientific visualizations.“ IEEE Transactions on Visualization and Computer Graphics, Nr. 5 (1): 74–94.
• Ohlberger, M. 1999. „Mixed finite element-finte volume methods for two-phase flow in porous media.“
• Grüne, L, Metscher, M, und Ohlberger, M. 1999. „On numerical algorithm and interactive visualization for optimal control problems.“ Comp. Visual. Sci., Nr. 1 (4): 221–229.

1998

• Ohlberger, M, und 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, Nr. 5 (3): 183–210.
• Neubauer, R, Ohlberger, M, Rumpf, M, und Schwörer, R. 1997. „Efficient visualization of large-scale data on hierarchical meshes.“
• Ohlberger, M, und Rumpf, M. 1997. „Hierarchical and adaptive visualization on nested grids.“ Computing, Nr. 59 (Computing): 365–385.