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Author ID: ohlberger.mario Recent zbMATH articles by "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
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

Publications by Year

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 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
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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
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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