Edit Profile (opens in new tab) Ohlberger, Mario Co-Author Distance Author ID: ohlberger.mario Published as: Ohlberger, Mario; Ohlberger, M. Homepage: https://www.uni-muenster.de/AMM/ohlberger/index.html External Links: MGP · ORCID · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 109 Publications since 1997, including 1 Book and 13 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 95 Co-Authors with 103 Joint Publications 2,499 Co-Co-Authors all top 5 Co-Authors 12 single-authored 17 Haasdonk, Bernard 14 Rave, Stephan David 14 Schindler, Felix 11 Henning, Patrick 10 Engwer, Christian 8 Dedner, Andreas S. 8 Klöfkorn, Robert 7 Keil, Tim 7 Smetana, Kathrin 6 Bastian, Peter 6 Himpe, Christian 5 Kröner, Dietmar 5 Rohde, Christian 5 Sander, Oliver 5 Schweizer, Ben 4 Buhr, Andreas 4 Kleikamp, Hendrik 4 Verfürth, Barbara 3 Benner, Peter 3 Blatt, Markus 3 Drohmann, Martin 3 Iliev, Oleg P. 3 Kaulmann, Sven 3 Leibner, Tobias 3 Mikula, Karol 3 Rozza, Gianluigi 3 Rumpf, Martin 3 Urban, Karsten 3 Volkwein, Stefan 3 Wenzel, Tizian 2 Berninger, Heiko 2 Fuhrmann, Jürgen 2 Kornhuber, Ralf 2 Küther, Marc 2 Mechelli, Luca 2 Patera, Anthony T. 2 Renelt, Lukas 2 Schäfer, Michael 2 Schmidt, Sebastian M. 1 Albrecht, Felix 1 Banholzer, Stefan 1 Brunken, Julia 1 Bürkle, David 1 Burri, Alex 1 Cohen, Albert 1 Dihlmann, Markus A. 1 Dreier, Nils-Arne 1 Droske, Marc 1 Feinauer, Julian 1 Flemisch, Bernd 1 Fritze, René 1 Gavrilenko, Pavel 1 Girke, Stefan 1 Gräser, Carsten 1 Grüne, Lars 1 Grüninger, Christoph 1 Hain, Stefan 1 Hein, Simon 1 Herbin, Raphaèle 1 Iapichino, Laura 1 Kaltenbacher, Barbara 1 Karlsen, Kenneth Hvistendahl 1 Kartmann, Michael 1 Kempf, Dominic 1 Klein, Ole 1 Landstorfer, Manuel 1 Latz, Arnulf 1 Lie, Knut-Andreas 1 Lorentzen, Rolf J. 1 Makridakis, Charalambos G. 1 Matis, Maja 1 Metscher, M. 1 Milk, René 1 Mohring, Jan 1 Neubauer, Thimo 1 Ngo, Adrian 1 Nolte, Martin 1 Oguntola, Micheal B. 1 Radic, Mladjan 1 Schiffler, Gerd 1 Schmidt, Alfred 1 Schmidt, Volker 1 Shokina, Nina 1 Siebert, Kunibert G. 1 Sorensen, Danny C. 1 Tacke, M. 1 Toktaliev, Pavel 1 Urbán, Jozef 1 Urban, Maik 1 Vovelle, Julien 1 Westhoff, Daniel 1 Willcox, Karen E. 1 Youssef, Maha 1 Zausch, Jochen 1 Zhang, Shiquan all top 5 Serials 6 SIAM Journal on Scientific Computing 5 Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Advances in Computational Mathematics 3 Computing and Visualization in Science 3 Multiscale Modeling & Simulation 2 International Journal for Numerical Methods in Fluids 2 Mathematics of Computation 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Mathematical and Computer Modelling of Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Networks and Heterogeneous Media 2 Discrete and Continuous Dynamical Systems. Series S 2 Springer Proceedings in Mathematics & Statistics 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 International Journal for Numerical Methods in Engineering 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Numerical Mathematics 1 European Journal of Applied Mathematics 1 SIAM Review 1 East-West Journal of Numerical Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 Lecture Notes in Computational Science and Engineering 1 Computational Science & Engineering 1 MS&A. Modeling, Simulation and Applications 1 Journal of Mathematics 1 Pure and Applied Functional Analysis 1 AIMS Mathematics all top 5 Fields 81 Numerical analysis (65-XX) 60 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 11 Optics, electromagnetic theory (78-XX) 9 Computer science (68-XX) 8 Systems theory; control (93-XX) 7 General and overarching topics; collections (00-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Operations research, mathematical programming (90-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 1,617 times in 989 Documents Cited by ▼ Year ▼ Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177 Haasdonk, Bernard; Ohlberger, Mario 163 2008 A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. Zbl 1151.65088 Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O. 126 2008 Model reduction and approximation. Theory and algorithms. Zbl 1378.65010 123 2017 A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework. Zbl 1151.65089 Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Ohlberger, M.; Sander, O. 101 2008 Reduced basis approximation for nonlinear parametrized evolution equations based on empirical operator interpolation. Zbl 1259.65133 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 100 2012 A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space. Zbl 1302.65221 Haasdonk, Bernard; Dihlmann, Markus; Ohlberger, Mario 60 2011 Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition. Zbl 1230.37110 Haasdonk, Bernard; Ohlberger, Mario 45 2011 Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing. (Approximation non linéaire utilisant des bases réduites d’équations d’évolution paramétrées par une méthode de figeage.) Zbl 1281.65117 Ohlberger, Mario; Rave, Stephan 43 2013 A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions. Zbl 0934.65102 Kröner, Dietmar; Ohlberger, Mario 40 2000 Error control for the localized reduced basis multiscale method with adaptive on-line enrichment. Zbl 1329.65255 Ohlberger, M.; Schindler, F. 40 2015 A generic interface for parallel and adaptive discretization schemes: Abstraction principles and the DUNE-FEM module. Zbl 1201.65178 Dedner, Andreas; Klöfkorn, Robert; Nolte, Martin; Ohlberger, Mario 40 2010 A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations. Zbl 0992.65100 Ohlberger, Mario 38 2001 A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. Zbl 1090.65128 Ohlberger, Mario 35 2005 The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. Zbl 1185.65210 Henning, Patrick; Ohlberger, Mario 35 2009 Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001 26 2017 A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413 Haasdonk, B.; Ohlberger, M.; Rozza, G. 25 2008 Convergence of a mixed finite element-finite volume method for the two phase flow in porous media. Zbl 0899.76261 Ohlberger, M. 25 1997 The localized reduced basis multiscale method. Zbl 1278.65172 Albrecht, Felix; Haasdonk, Bernard; Kaulmann, Sven; Ohlberger, Mario 25 2012 The Dune framework: basic concepts and recent developments. Zbl 1524.65003 Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver 24 2021 A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems. Zbl 1269.65127 Kaulmann, Sven; Ohlberger, Mario; Haasdonk, Bernard 22 2011 The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. Zbl 1264.65161 Henning, Patrick; Ohlberger, Mario 21 2010 Error control for a class of Runge-Kutta discontinuous Galerkin methods for nonlinear conservation laws. Zbl 1145.65072 Dedner, Andreas; Makridakis, Charalambos; Ohlberger, Mario 20 2007 A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations. Zbl 0973.65076 Ohlberger, M. 20 2001 A new heterogeneous multiscale method for time-harmonic Maxwell’s equations. Zbl 1357.35028 Henning, Patrick; Ohlberger, Mario; Verfürth, Barbara 20 2016 An adaptive multiscale finite element method. Zbl 1312.65191 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 19 2014 A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations. Zbl 1072.35545 Karlsen, Kenneth H.; Ohlberger, Mario 18 2002 A new heterogeneous multiscale method for the Helmholtz equation with high contrast. Zbl 1445.35131 Ohlberger, Mario; Verfurth, Barbara 17 2018 Inflow-implicit/outflow-explicit finite volume methods for solving advection equations. Zbl 1310.65103 Mikula, Karol; Ohlberger, Mario; Urbán, Jozef 16 2014 Adaptive reduced basis methods for nonlinear convection-diffusion equations. Zbl 1246.76124 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 14 2011 ArbiLoMod, a simulation technique designed for arbitrary local modifications. Zbl 1369.65160 Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan 14 2017 A hierarchical a posteriori error estimator for the reduced basis method. Zbl 1435.65203 Hain, Stefan; Ohlberger, Mario; Radic, Mladjan; Urban, Karsten 13 2019 A-posteriori error estimates for the localized reduced basis multi-scale method. Zbl 1305.65220 Ohlberger, Mario; Schindler, Felix 12 2014 Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems. Zbl 1302.65127 Henning, Patrick; Ohlberger, Mario 12 2015 Homogenization of the degenerate two-phase flow equations. Zbl 1373.35032 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 12 2013 A new level set method for motion in normal direction based on a semi-implicit forward-backward diffusion approach. Zbl 1223.65072 Mikula, Karol; Ohlberger, Mario 11 2010 Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method. Zbl 1082.65112 Ohlberger, Mario; Vovelle, Julien 11 2006 Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059 Ohlberger, Mario; Rohde, Christian 11 2002 Cross-Gramian-based combined state and parameter reduction for large-scale control systems. Zbl 1407.93079 Himpe, Christian; Ohlberger, Mario 11 2014 Inflow-implicit/outflow-explicit scheme for solving advection equations. Zbl 1246.65167 Mikula, Karol; Ohlberger, Mario 10 2011 Adaptive basis enrichment for the reduced basis method applied to finite volume schemes. Zbl 1422.65207 Haasdonk, Bernard; Ohlberger, Mario 10 2008 Model reduction for multiscale lithium-ion battery simulation. Zbl 1355.78031 Ohlberger, Mario; Rave, Stephan; Schindler, Felix 9 2016 A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 1527.90221 Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan 9 2021 Reduced basis method for explicit finite volume approximations of nonlinear conservation laws. Zbl 1407.76084 Haasdonk, Bernard; Ohlberger, Mario 8 2009 Local adaptive methods for convection dominated problems. Zbl 1058.76576 Klöfkorn, Robert; Kröner, Dietmar; Ohlberger, Mario 8 2002 A review of a posteriori error control and adaptivity for approximations of non-linear conservation laws. Zbl 1185.65163 Ohlberger, Mario 8 2009 Data-driven combined state and parameter reduction for inverse problems. Zbl 1327.37025 Himpe, Christian; Ohlberger, Mario 8 2015 Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media. Zbl 1326.76060 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 7 2015 The localized reduced basis multiscale method for two-phase flows in porous media. Zbl 1352.76057 Kaulmann, S.; Flemisch, B.; Haasdonk, B.; Lie, K.-a.; Ohlberger, M. 7 2015 Localized model reduction for parameterized problems. Zbl 1523.65091 Buhr, Andreas; Iapichino, Laura; Ohlberger, Mario; Rave, Stephan; Schindler, Felix; Smetana, Kathrin 7 2021 Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions. Zbl 1288.35023 Berninger, Heiko; Ohlberger, Mario; Sander, Oliver; Smetana, Kathrin 7 2014 Towards a unified framework for scientific computing. Zbl 1067.65103 Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin 6 2005 A note on homogenization of advection-diffusion problems with large expected drift. Zbl 1223.35042 Henning, Patrick; Ohlberger, Mario 5 2011 Cross-Gramian-based model reduction: a comparison. Zbl 1384.93029 Himpe, Christian; Ohlberger, Mario 5 2017 Adaptive finite volume methods for displacement problems in porous media. Zbl 1052.76577 Bürkle, David; Ohlberger, Mario 5 2002 A model reduction framework for efficient simulation of Li-Ion batteries. Zbl 1327.78021 Ohlberger, Mario; Rave, Stephan; Schmidt, Sebastian; Zhang, Shiquan 5 2014 An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 1510.90268 Banholzer, Stefan; Keil, Tim; Ohlberger, Mario; Mechelli, Luca; Schindler, Felix; Volkwein, Stefan 5 2022 True error control for the localized reduced basis method for parabolic problems. Zbl 1448.65170 Ohlberger, Mario; Rave, Stephan; Schindler, Felix 4 2017 On numerical algorithm and interactive visualization for optimal control problems. Zbl 0970.65073 Grüne, L.; Metscher, M.; Ohlberger, M. 4 1999 A dimensional reduction approach based on the application of reduced basis methods in the framework of hierarchical model reduction. Zbl 1296.65163 Ohlberger, Mario; Smetana, Kathrin 4 2014 Non-conforming localized model reduction with online enrichment: towards optimal complexity in PDE constrained optimization. Zbl 1365.65174 Ohlberger, Mario; Schindler, Felix 4 2017 Localized orthogonal decomposition for two-scale Helmholtz-type problems. Zbl 1427.65374 Ohlberger, Mario; Verfürth, Barbara 4 2017 A Newton-scheme framework for multiscale methods for nonlinear elliptic homogenization problems. Zbl 1278.65178 Henning, Patrick; Ohlberger, Mario 4 2012 A reduced basis method for parameter optimization of multiscale problems. Zbl 1278.65181 Ohlberger, Mario; Schaefer, Michael 4 2012 Localized model reduction in PDE constrained optimization. Zbl 1407.49030 Ohlberger, Mario; Schaefer, Michael; Schindler, Felix 4 2018 Hierarchical and adaptive visualization on nested grids. Zbl 0944.65022 Ohlberger, M.; Rumpf, M. 3 1997 A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103 Herbin, Raphaèle; Ohlberger, Mario 3 2002 Adaptive second-order central schemes on unstructured staggered grids. Zbl 1134.65357 Küther, Marc; Ohlberger, Mario 3 2003 Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques. Zbl 1362.65129 Smetana, Kathrin; Ohlberger, Mario 3 2017 A unified software framework for empirical Gramians. Zbl 1486.93001 Himpe, Christian; Ohlberger, Mario 3 2013 Model reduction for large-scale systems. Zbl 1493.65209 Keil, Tim; Ohlberger, Mario 3 2022 A new \(hp\)-adaptive DG scheme for conservation laws based on error control. Zbl 1138.65089 Dedner, A.; Ohlberger, M. 2 2008 Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media. Zbl 1120.76341 Ohlberger, Mario 2 2004 Reduced basis method for finite volume approximation of evolution equations on parametrized geometries. Zbl 1171.65422 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 2 2009 Modelling of interfaces in unsaturated porous media. Zbl 1163.76417 Ohlberger, Mario; Schweizer, Ben 2 2007 A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift. Zbl 1357.65147 Henning, Patrick; Ohlberger, Mario 2 2016 Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach. Zbl 1349.74007 Ohlberger, Mario; Smetana, Kathrin 2 2016 Error control based model reduction for multiscale problems. Zbl 1278.15008 Ohlberger, Mario 2 2012 Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. Zbl 07618976 Keil, Tim; Kleikamp, Hendrik; Lorentzen, Rolf J.; Oguntola, Micheal B.; Ohlberger, Mario 2 2022 Mathematical analysis of transmission properties of electromagnetic meta-materials. Zbl 1441.35029 Ohlberger, Mario; Schweizer, Ben; Urban, Maik; Verfürth, Barbara 2 2020 ArbiLoMod: local solution spaces by random training in electrodynamics. Zbl 1388.78019 Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan 1 2017 Localized reduced basis approximation of a nonlinear finite volume battery model with resolved electrode geometry. Zbl 1388.78013 Ohlberger, Mario; Rave, Stephan 1 2017 A posteriori error estimates and adaptive methods for convection-dominated transport processes. Zbl 1003.76003 Ohlberger, Mario 1 2001 An introduction to recent developments in theory and numerics for conservation laws. Proceedings of the international school, Freiburg/ Littenweiler, Germany, October 20–24, 1997. Zbl 0904.00045 1 1999 Adaptive mesh refinement for single and two phase flow problems in porous media. Zbl 1052.65544 Ohlberger, Mario 1 1999 Efficient parallel simulation of atherosclerotic plaque formation using higher order discontinuous Galerkin schemes. Zbl 1326.92035 Girke, Stefan; Klöfkorn, Robert; Ohlberger, Mario 1 2014 A general object-oriented framework for discretizing nonlinear evolution equations. Zbl 1310.76113 Burri, A.; Dedner, A.; Diehl, D.; Klöfkorn, R.; Ohlberger, M. 1 2006 Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038 Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. Zbl 1501.76062 Gavrilenko, Pavel; Haasdonk, Bernard; Iliev, Oleg; Ohlberger, Mario; Schindler, Felix; Toktaliev, Pavel; Wenzel, Tizian; Youssef, Maha 1 2022 A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. Zbl 07477255 Leibner, Tobias; Ohlberger, Mario 1 2021 Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Zbl 1291.65005 1 2014 A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. Zbl 1516.65087 Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix; Wenzel, Tizian 1 2023 A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. Zbl 1516.65087 Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix; Wenzel, Tizian 1 2023 An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 1510.90268 Banholzer, Stefan; Keil, Tim; Ohlberger, Mario; Mechelli, Luca; Schindler, Felix; Volkwein, Stefan 5 2022 Model reduction for large-scale systems. Zbl 1493.65209 Keil, Tim; Ohlberger, Mario 3 2022 Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. Zbl 07618976 Keil, Tim; Kleikamp, Hendrik; Lorentzen, Rolf J.; Oguntola, Micheal B.; Ohlberger, Mario 2 2022 A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. Zbl 1501.76062 Gavrilenko, Pavel; Haasdonk, Bernard; Iliev, Oleg; Ohlberger, Mario; Schindler, Felix; Toktaliev, Pavel; Wenzel, Tizian; Youssef, Maha 1 2022 The Dune framework: basic concepts and recent developments. Zbl 1524.65003 Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver 24 2021 A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 1527.90221 Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan 9 2021 Localized model reduction for parameterized problems. Zbl 1523.65091 Buhr, Andreas; Iapichino, Laura; Ohlberger, Mario; Rave, Stephan; Schindler, Felix; Smetana, Kathrin 7 2021 A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. Zbl 07477255 Leibner, Tobias; Ohlberger, Mario 1 2021 Mathematical analysis of transmission properties of electromagnetic meta-materials. Zbl 1441.35029 Ohlberger, Mario; Schweizer, Ben; Urban, Maik; Verfürth, Barbara 2 2020 A hierarchical a posteriori error estimator for the reduced basis method. Zbl 1435.65203 Hain, Stefan; Ohlberger, Mario; Radic, Mladjan; Urban, Karsten 13 2019 A new heterogeneous multiscale method for the Helmholtz equation with high contrast. Zbl 1445.35131 Ohlberger, Mario; Verfurth, Barbara 17 2018 Localized model reduction in PDE constrained optimization. Zbl 1407.49030 Ohlberger, Mario; Schaefer, Michael; Schindler, Felix 4 2018 Model reduction and approximation. Theory and algorithms. Zbl 1378.65010 123 2017 Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001 26 2017 ArbiLoMod, a simulation technique designed for arbitrary local modifications. Zbl 1369.65160 Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan 14 2017 Cross-Gramian-based model reduction: a comparison. Zbl 1384.93029 Himpe, Christian; Ohlberger, Mario 5 2017 True error control for the localized reduced basis method for parabolic problems. Zbl 1448.65170 Ohlberger, Mario; Rave, Stephan; Schindler, Felix 4 2017 Non-conforming localized model reduction with online enrichment: towards optimal complexity in PDE constrained optimization. Zbl 1365.65174 Ohlberger, Mario; Schindler, Felix 4 2017 Localized orthogonal decomposition for two-scale Helmholtz-type problems. Zbl 1427.65374 Ohlberger, Mario; Verfürth, Barbara 4 2017 Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques. Zbl 1362.65129 Smetana, Kathrin; Ohlberger, Mario 3 2017 ArbiLoMod: local solution spaces by random training in electrodynamics. Zbl 1388.78019 Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan 1 2017 Localized reduced basis approximation of a nonlinear finite volume battery model with resolved electrode geometry. Zbl 1388.78013 Ohlberger, Mario; Rave, Stephan 1 2017 A new heterogeneous multiscale method for time-harmonic Maxwell’s equations. Zbl 1357.35028 Henning, Patrick; Ohlberger, Mario; Verfürth, Barbara 20 2016 Model reduction for multiscale lithium-ion battery simulation. Zbl 1355.78031 Ohlberger, Mario; Rave, Stephan; Schindler, Felix 9 2016 A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift. Zbl 1357.65147 Henning, Patrick; Ohlberger, Mario 2 2016 Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach. Zbl 1349.74007 Ohlberger, Mario; Smetana, Kathrin 2 2016 Error control for the localized reduced basis multiscale method with adaptive on-line enrichment. Zbl 1329.65255 Ohlberger, M.; Schindler, F. 40 2015 Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems. Zbl 1302.65127 Henning, Patrick; Ohlberger, Mario 12 2015 Data-driven combined state and parameter reduction for inverse problems. Zbl 1327.37025 Himpe, Christian; Ohlberger, Mario 8 2015 Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media. Zbl 1326.76060 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 7 2015 The localized reduced basis multiscale method for two-phase flows in porous media. Zbl 1352.76057 Kaulmann, S.; Flemisch, B.; Haasdonk, B.; Lie, K.-a.; Ohlberger, M. 7 2015 An adaptive multiscale finite element method. Zbl 1312.65191 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 19 2014 Inflow-implicit/outflow-explicit finite volume methods for solving advection equations. Zbl 1310.65103 Mikula, Karol; Ohlberger, Mario; Urbán, Jozef 16 2014 A-posteriori error estimates for the localized reduced basis multi-scale method. Zbl 1305.65220 Ohlberger, Mario; Schindler, Felix 12 2014 Cross-Gramian-based combined state and parameter reduction for large-scale control systems. Zbl 1407.93079 Himpe, Christian; Ohlberger, Mario 11 2014 Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions. Zbl 1288.35023 Berninger, Heiko; Ohlberger, Mario; Sander, Oliver; Smetana, Kathrin 7 2014 A model reduction framework for efficient simulation of Li-Ion batteries. Zbl 1327.78021 Ohlberger, Mario; Rave, Stephan; Schmidt, Sebastian; Zhang, Shiquan 5 2014 A dimensional reduction approach based on the application of reduced basis methods in the framework of hierarchical model reduction. Zbl 1296.65163 Ohlberger, Mario; Smetana, Kathrin 4 2014 Efficient parallel simulation of atherosclerotic plaque formation using higher order discontinuous Galerkin schemes. Zbl 1326.92035 Girke, Stefan; Klöfkorn, Robert; Ohlberger, Mario 1 2014 Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Zbl 1291.65005 1 2014 Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing. (Approximation non linéaire utilisant des bases réduites d’équations d’évolution paramétrées par une méthode de figeage.) Zbl 1281.65117 Ohlberger, Mario; Rave, Stephan 43 2013 Homogenization of the degenerate two-phase flow equations. Zbl 1373.35032 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 12 2013 A unified software framework for empirical Gramians. Zbl 1486.93001 Himpe, Christian; Ohlberger, Mario 3 2013 Reduced basis approximation for nonlinear parametrized evolution equations based on empirical operator interpolation. Zbl 1259.65133 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 100 2012 The localized reduced basis multiscale method. Zbl 1278.65172 Albrecht, Felix; Haasdonk, Bernard; Kaulmann, Sven; Ohlberger, Mario 25 2012 A Newton-scheme framework for multiscale methods for nonlinear elliptic homogenization problems. Zbl 1278.65178 Henning, Patrick; Ohlberger, Mario 4 2012 A reduced basis method for parameter optimization of multiscale problems. Zbl 1278.65181 Ohlberger, Mario; Schaefer, Michael 4 2012 Error control based model reduction for multiscale problems. Zbl 1278.15008 Ohlberger, Mario 2 2012 A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space. Zbl 1302.65221 Haasdonk, Bernard; Dihlmann, Markus; Ohlberger, Mario 60 2011 Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition. Zbl 1230.37110 Haasdonk, Bernard; Ohlberger, Mario 45 2011 A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems. Zbl 1269.65127 Kaulmann, Sven; Ohlberger, Mario; Haasdonk, Bernard 22 2011 Adaptive reduced basis methods for nonlinear convection-diffusion equations. Zbl 1246.76124 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 14 2011 Inflow-implicit/outflow-explicit scheme for solving advection equations. Zbl 1246.65167 Mikula, Karol; Ohlberger, Mario 10 2011 A note on homogenization of advection-diffusion problems with large expected drift. Zbl 1223.35042 Henning, Patrick; Ohlberger, Mario 5 2011 A generic interface for parallel and adaptive discretization schemes: Abstraction principles and the DUNE-FEM module. Zbl 1201.65178 Dedner, Andreas; Klöfkorn, Robert; Nolte, Martin; Ohlberger, Mario 40 2010 The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. Zbl 1264.65161 Henning, Patrick; Ohlberger, Mario 21 2010 A new level set method for motion in normal direction based on a semi-implicit forward-backward diffusion approach. Zbl 1223.65072 Mikula, Karol; Ohlberger, Mario 11 2010 The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. Zbl 1185.65210 Henning, Patrick; Ohlberger, Mario 35 2009 Reduced basis method for explicit finite volume approximations of nonlinear conservation laws. Zbl 1407.76084 Haasdonk, Bernard; Ohlberger, Mario 8 2009 A review of a posteriori error control and adaptivity for approximations of non-linear conservation laws. Zbl 1185.65163 Ohlberger, Mario 8 2009 Reduced basis method for finite volume approximation of evolution equations on parametrized geometries. Zbl 1171.65422 Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario 2 2009 Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177 Haasdonk, Bernard; Ohlberger, Mario 163 2008 A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. Zbl 1151.65088 Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O. 126 2008 A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework. Zbl 1151.65089 Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Ohlberger, M.; Sander, O. 101 2008 A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413 Haasdonk, B.; Ohlberger, M.; Rozza, G. 25 2008 Adaptive basis enrichment for the reduced basis method applied to finite volume schemes. Zbl 1422.65207 Haasdonk, Bernard; Ohlberger, Mario 10 2008 A new \(hp\)-adaptive DG scheme for conservation laws based on error control. Zbl 1138.65089 Dedner, A.; Ohlberger, M. 2 2008 Error control for a class of Runge-Kutta discontinuous Galerkin methods for nonlinear conservation laws. Zbl 1145.65072 Dedner, Andreas; Makridakis, Charalambos; Ohlberger, Mario 20 2007 Modelling of interfaces in unsaturated porous media. Zbl 1163.76417 Ohlberger, Mario; Schweizer, Ben 2 2007 Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method. Zbl 1082.65112 Ohlberger, Mario; Vovelle, Julien 11 2006 A general object-oriented framework for discretizing nonlinear evolution equations. Zbl 1310.76113 Burri, A.; Dedner, A.; Diehl, D.; Klöfkorn, R.; Ohlberger, M. 1 2006 A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. Zbl 1090.65128 Ohlberger, Mario 35 2005 Towards a unified framework for scientific computing. Zbl 1067.65103 Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin 6 2005 Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media. Zbl 1120.76341 Ohlberger, Mario 2 2004 Adaptive second-order central schemes on unstructured staggered grids. Zbl 1134.65357 Küther, Marc; Ohlberger, Mario 3 2003 Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038 Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations. Zbl 1072.35545 Karlsen, Kenneth H.; Ohlberger, Mario 18 2002 Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059 Ohlberger, Mario; Rohde, Christian 11 2002 Local adaptive methods for convection dominated problems. Zbl 1058.76576 Klöfkorn, Robert; Kröner, Dietmar; Ohlberger, Mario 8 2002 Adaptive finite volume methods for displacement problems in porous media. Zbl 1052.76577 Bürkle, David; Ohlberger, Mario 5 2002 A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103 Herbin, Raphaèle; Ohlberger, Mario 3 2002 A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations. Zbl 0992.65100 Ohlberger, Mario 38 2001 A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations. Zbl 0973.65076 Ohlberger, M. 20 2001 A posteriori error estimates and adaptive methods for convection-dominated transport processes. Zbl 1003.76003 Ohlberger, Mario 1 2001 A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions. Zbl 0934.65102 Kröner, Dietmar; Ohlberger, Mario 40 2000 On numerical algorithm and interactive visualization for optimal control problems. Zbl 0970.65073 Grüne, L.; Metscher, M.; Ohlberger, M. 4 1999 An introduction to recent developments in theory and numerics for conservation laws. Proceedings of the international school, Freiburg/ Littenweiler, Germany, October 20–24, 1997. Zbl 0904.00045 1 1999 Adaptive mesh refinement for single and two phase flow problems in porous media. Zbl 1052.65544 Ohlberger, Mario 1 1999 Convergence of a mixed finite element-finite volume method for the two phase flow in porous media. Zbl 0899.76261 Ohlberger, M. 25 1997 Hierarchical and adaptive visualization on nested grids. Zbl 0944.65022 Ohlberger, M.; Rumpf, M. 3 1997 all cited Publications top 5 cited Publications all top 5 Cited by 1,536 Authors 52 Ohlberger, Mario 40 Rozza, Gianluigi 31 Haasdonk, Bernard 24 Engwer, Christian 22 Benner, Peter 21 Patera, Anthony T. 20 Sander, Oliver 19 Chung, Tsz Shun Eric 17 Bastian, Peter 17 Dedner, Andreas S. 17 Gugercin, Serkan 17 Henning, Patrick 17 Quarteroni, Alfio M. 16 Manzoni, Andrea 15 Abdulle, Assyr 15 Efendiev, Yalchin R. 15 Urban, Karsten 14 Carlberg, Kevin T. 14 Klöfkorn, Robert 13 Rave, Stephan David 12 Taddei, Tommaso 11 Feng, Lihong 11 Mikula, Karol 11 Smetana, Kathrin 11 Stabile, Giovanni 11 Willcox, Karen E. 10 Frolkovič, Peter 10 Wohlmuth, Barbara I. 9 Amaziane, Brahim 9 Helmig, Rainer 9 Hesthaven, Jan S. 9 Knezevic, David J. 9 Peherstorfer, Benjamin 9 Pop, Iuliu Sorin 9 Verfürth, Barbara 9 Volkwein, Stefan 8 Ballarin, Francesco 8 Chamakuri, Nagaiah 8 Himpe, Christian 8 Karlsen, Kenneth Hvistendahl 8 Kornhuber, Ralf 8 Maday, Yvon 8 Nouy, Anthony 8 Pankratov, Leonid S. 8 Radu, Florin Adrian 8 Rivière, Beatrice M. 8 Schindler, Felix 8 Yano, Masayuki 7 Amsallem, David 7 Chen, Yanlai 7 Giesselmann, Jan 7 Kunisch, Karl 7 Legoll, Frédéric 7 Leung, Wingtat 7 Luo, Zhendong 7 Müller, Siegfried 7 Perotto, Simona 7 Schweizer, Ben 7 Vohralík, Martin 6 Beattie, Christopher A. 6 Blatt, Markus 6 Choi, Youngsoo 6 Farhat, Charbel H. 6 Fresca, Stefania 6 Huynh, Dinh Bao Phuong 6 Peterseim, Daniel 6 Risebro, Nils Henrik 6 Rohde, Christian 6 Unger, Benjamin 5 Alla, Alessandro 5 Basara, Branislav 5 Burbulla, Samuel 5 Elliott, Charles M. 5 Fehr, Jörg 5 Flemisch, Bernd 5 Galvis, Juan 5 Gosea, Ion Victor 5 Hahn, Jooyoung 5 Huber, Martin E. 5 Karasözen, Bülent 5 Keil, Tim 5 Kröner, Dietmar 5 Le Bris, Claude 5 Nagaiah, Chamakuri 5 Nguyen, Ngoc Cuong 5 Piatnitski, Andrey L. 5 Scheichl, Robert 5 Sepúlveda, Mauricio A. 5 Surulescu, Christina 5 Vasilyeva, Maria V. 4 Antil, Harbir 4 Berninger, Heiko 4 Buchfink, Patrick 4 Chamoin, Ludovic 4 Chen, Peng 4 Cheung, Siu Wun 4 Dede’, Luca 4 Glas, Silke 4 Goyal, Pawan 4 Gräser, Carsten ...and 1,436 more Authors all top 5 Cited in 151 Serials 88 Journal of Computational Physics 75 SIAM Journal on Scientific Computing 73 Computer Methods in Applied Mechanics and Engineering 48 Journal of Scientific Computing 40 Advances in Computational Mathematics 37 Journal of Computational and Applied Mathematics 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 26 Computers & Mathematics with Applications 24 International Journal for Numerical Methods in Engineering 24 Multiscale Modeling & Simulation 21 Applied Numerical Mathematics 21 Computational Geosciences 19 Applied Mathematics and Computation 18 Numerische Mathematik 17 Mathematics of Computation 14 SIAM Journal on Numerical Analysis 13 Mathematical and Computer Modelling of Dynamical Systems 12 Numerical Methods for Partial Differential Equations 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Computing and Visualization in Science 9 Journal of Differential Equations 9 Discrete and Continuous Dynamical Systems. Series S 9 SIAM/ASA Journal on Uncertainty Quantification 8 Mathematics and Computers in Simulation 7 Journal of Mathematical Analysis and Applications 7 Computational Mechanics 6 Computers and Fluids 6 International Journal for Numerical Methods in Fluids 6 Acta Numerica 6 Communications in Computational Physics 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Computing 4 Applied Mathematical Modelling 4 Computational and Applied Mathematics 4 ETNA. Electronic Transactions on Numerical Analysis 4 Vietnam Journal of Mathematics 4 Nonlinear Analysis. Real World Applications 4 Computational Methods in Applied Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Numerical Mathematics 4 Journal of Hyperbolic Differential Equations 3 Computer Physics Communications 3 Journal of Mathematical Biology 3 Mathematical Methods in the Applied Sciences 3 Automatica 3 BIT 3 SIAM Journal on Matrix Analysis and Applications 3 SIAM Review 3 Computational Optimization and Applications 3 Mathematical Problems in Engineering 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Archives of Computational Methods in Engineering 3 SIAM Journal on Applied Dynamical Systems 3 International Journal of Numerical Analysis and Modeling 3 Oberwolfach Reports 3 Networks and Heterogeneous Media 3 SIAM Journal on Financial Mathematics 3 Journal of Mathematics in Industry 3 Communications on Applied Mathematics and Computation 2 Applicable Analysis 2 Inverse Problems 2 Journal of Fluid Mechanics 2 Systems & Control Letters 2 Zeitschrift für Analysis und ihre Anwendungen 2 Physica D 2 Applied Mathematics Letters 2 Japan Journal of Industrial and Applied Mathematics 2 Numerical Algorithms 2 Journal of Nonlinear Science 2 Numerical Linear Algebra with Applications 2 International Journal of Computational Fluid Dynamics 2 Interfaces and Free Boundaries 2 Boundary Value Problems 2 GAMM-Mitteilungen 2 Advances in Applied Mathematics and Mechanics 2 Journal of Theoretical Biology 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 SMAI Journal of Computational Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Nonlinearity 1 Ukrainian Mathematical Journal 1 ACM Transactions on Mathematical Software 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Inventiones Mathematicae 1 Kybernetika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 COMPEL 1 Journal of Economic Dynamics & Control 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics ...and 51 more Serials all top 5 Cited in 40 Fields 760 Numerical analysis (65-XX) 411 Partial differential equations (35-XX) 282 Fluid mechanics (76-XX) 98 Mechanics of deformable solids (74-XX) 86 Systems theory; control (93-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 53 Optics, electromagnetic theory (78-XX) 52 Biology and other natural sciences (92-XX) 47 Computer science (68-XX) 32 Dynamical systems and ergodic theory (37-XX) 31 Statistics (62-XX) 29 Approximations and expansions (41-XX) 25 Probability theory and stochastic processes (60-XX) 23 Operations research, mathematical programming (90-XX) 20 Classical thermodynamics, heat transfer (80-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Geophysics (86-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Ordinary differential equations (34-XX) 8 Operator theory (47-XX) 6 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 3 Information and communication theory, circuits (94-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year