Keil, Tim; Ohlberger, Mario A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. (English) Zbl 07799052 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79-105 (2024). MSC: 90Cxx 35J20 65N15 65N30 90C06 PDFBibTeX XMLCite \textit{T. Keil} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79--105 (2024; Zbl 07799052) Full Text: DOI arXiv
Renelt, Lukas; Engwer, Christian; Ohlberger, Mario An optimally stable approximation of reactive transport using discrete test and infinite trial spaces. (English) Zbl 07802999 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 289-298 (2023). MSC: 65N30 65N12 35A15 35Q49 PDFBibTeX XMLCite \textit{L. Renelt} et al., Springer Proc. Math. Stat. 433, 289--298 (2023; Zbl 07802999) Full Text: DOI arXiv
Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix; Wenzel, Tizian A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. (English) Zbl 1516.65087 SIAM J. Sci. Comput. 45, No. 3, A1039-A1065 (2023). MSC: 65M60 65M06 65N30 68T07 68Q32 65C05 49M41 PDFBibTeX XMLCite \textit{B. Haasdonk} et al., SIAM J. Sci. Comput. 45, No. 3, A1039--A1065 (2023; Zbl 1516.65087) Full Text: DOI arXiv
Landstorfer, M.; Ohlberger, M.; Rave, S.; Tacke, M. A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells. (English) Zbl 1515.78032 Eur. J. Appl. Math. 34, No. 3, 554-591 (2023). MSC: 78A57 49M37 35Q92 34B15 65K05 PDFBibTeX XMLCite \textit{M. Landstorfer} et al., Eur. J. Appl. Math. 34, No. 3, 554--591 (2023; Zbl 1515.78032) Full Text: DOI arXiv
Kartmann, Michael; Keil, Tim; Ohlberger, Mario; Volkwein, Stefan; Kaltenbacher, Barbara Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems. arXiv:2309.07627 Preprint, arXiv:2309.07627 [math.NA] (2023). MSC: 35R30 14F05 49M41 65N30 49M20 BibTeX Cite \textit{M. Kartmann} et al., ``Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems'', Preprint, arXiv:2309.07627 [math.NA] (2023) Full Text: arXiv OA License
Banholzer, Stefan; Keil, Tim; Ohlberger, Mario; Mechelli, Luca; Schindler, Felix; Volkwein, Stefan An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. (English) Zbl 1510.90268 Pure Appl. Funct. Anal. 7, No. 5, 1561-1596 (2022). MSC: 90C31 35J20 65N30 90C06 PDFBibTeX XMLCite \textit{S. Banholzer} et al., Pure Appl. Funct. Anal. 7, No. 5, 1561--1596 (2022; Zbl 1510.90268) Full Text: arXiv Link
Keil, Tim; Ohlberger, Mario Model reduction for large-scale systems. (English) Zbl 1493.65209 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 16-28 (2022). MSC: 65N30 65K10 49M41 PDFBibTeX XMLCite \textit{T. Keil} and \textit{M. Ohlberger}, Lect. Notes Comput. Sci. 13127, 16--28 (2022; Zbl 1493.65209) Full Text: DOI arXiv
Leibner, Tobias; Ohlberger, Mario A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. (English) Zbl 07477255 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2567-2608 (2021). MSC: 65-XX 35L40 35F61 65M08 65M70 82C70 PDFBibTeX XMLCite \textit{T. Leibner} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2567--2608 (2021; Zbl 07477255) Full Text: DOI arXiv
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. (English) Zbl 1527.90221 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239-1269 (2021). MSC: 90C30 35J20 65N30 90C06 PDFBibTeX XMLCite \textit{T. Keil} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239--1269 (2021; Zbl 1527.90221) Full Text: DOI arXiv
Buhr, Andreas; Iapichino, Laura; Ohlberger, Mario; Rave, Stephan; Schindler, Felix; Smetana, Kathrin Localized model reduction for parameterized problems. (English) Zbl 1523.65091 Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 245-305 (2021). MSC: 65N30 65N55 65N15 35J20 35J25 65Y15 PDFBibTeX XMLCite \textit{A. Buhr} et al., in: Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 245--305 (2021; Zbl 1523.65091) Full Text: DOI arXiv
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 The Dune framework: basic concepts and recent developments. (English) Zbl 1524.65003 Comput. Math. Appl. 81, 75-112 (2021). MSC: 65-04 65N30 65N55 65M60 65N15 65N50 35R37 PDFBibTeX XMLCite \textit{P. Bastian} et al., Comput. Math. Appl. 81, 75--112 (2021; Zbl 1524.65003) Full Text: DOI arXiv
Ohlberger, Mario; Schweizer, Ben; Urban, Maik; Verfürth, Barbara Mathematical analysis of transmission properties of electromagnetic meta-materials. (English) Zbl 1441.35029 Netw. Heterog. Media 15, No. 1, 29-56 (2020). Reviewer: Paolo Musolino (Padova) MSC: 35B27 35Q61 65N30 78M40 PDFBibTeX XMLCite \textit{M. Ohlberger} et al., Netw. Heterog. Media 15, No. 1, 29--56 (2020; Zbl 1441.35029) Full Text: DOI arXiv
Hain, Stefan; Ohlberger, Mario; Radic, Mladjan; Urban, Karsten A hierarchical a posteriori error estimator for the reduced basis method. (English) Zbl 1435.65203 Adv. Comput. Math. 45, No. 5-6, 2191-2214 (2019). MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{S. Hain} et al., Adv. Comput. Math. 45, No. 5--6, 2191--2214 (2019; Zbl 1435.65203) Full Text: DOI arXiv
Ohlberger, Mario; Verfurth, Barbara A new heterogeneous multiscale method for the Helmholtz equation with high contrast. (English) Zbl 1445.35131 Multiscale Model. Simul. 16, No. 1, 385-411 (2018). MSC: 35J05 35B27 65N12 65N15 65N30 78M40 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{B. Verfurth}, Multiscale Model. Simul. 16, No. 1, 385--411 (2018; Zbl 1445.35131) Full Text: arXiv
Ohlberger, Mario; Schaefer, Michael; Schindler, Felix Localized model reduction in PDE constrained optimization. (English) Zbl 1407.49030 Schulz, Volker (ed.) et al., Shape optimization, homogenization and optimal control. DFG-AIMS workshop held at the AIMS Center Sénégal, Mbour, Sénégal, March 13–16, 2017. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 169, 143-163 (2018). MSC: 49K20 65K10 65N30 49N20 93A15 PDFBibTeX XMLCite \textit{M. Ohlberger} et al., ISNM, Int. Ser. Numer. Math. 169, 143--163 (2018; Zbl 1407.49030) Full Text: DOI
Ohlberger, Mario; Verfürth, Barbara Localized orthogonal decomposition for two-scale Helmholtz-type problems. (English) Zbl 1427.65374 AIMS Math. 2, No. 3, 458-478 (2017). MSC: 65N30 65N12 65N15 35J05 35B27 78M40 78M10 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{B. Verfürth}, AIMS Math. 2, No. 3, 458--478 (2017; Zbl 1427.65374) Full Text: DOI arXiv
Ohlberger, Mario; Rave, Stephan Localized reduced basis approximation of a nonlinear finite volume battery model with resolved electrode geometry. (English) Zbl 1388.78013 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 201-212 (2017). MSC: 78M12 78M34 78A57 65H10 65N30 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{S. Rave}, MS\&A, Model. Simul. Appl. 17, 201--212 (2017; Zbl 1388.78013) Full Text: DOI arXiv
Ohlberger, Mario; Rave, Stephan; Schindler, Felix True error control for the localized reduced basis method for parabolic problems. (English) Zbl 1448.65170 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer. MS&A, Model. Simul. Appl. 17, 169-182 (2017). MSC: 65M60 65M15 65M50 65M06 65J08 PDFBibTeX XMLCite \textit{M. Ohlberger} et al., MS\&A, Model. Simul. Appl. 17, 169--182 (2017; Zbl 1448.65170) Full Text: DOI arXiv
Benner, Peter (ed.); Cohen, Albert (ed.); Ohlberger, Mario (ed.); Willcox, Karen (ed.) Model reduction and approximation. Theory and algorithms. (English) Zbl 1378.65010 Computational Science & Engineering 15. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-481-2/pbk; 978-1-61197-482-9/ebook). xx, 412 p. (2017). MSC: 65-06 65D05 65K10 00B15 PDFBibTeX XMLCite \textit{P. Benner} (ed.) et al., Model reduction and approximation. Theory and algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2017; Zbl 1378.65010) Full Text: DOI
Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan ArbiLoMod, a simulation technique designed for arbitrary local modifications. (English) Zbl 1369.65160 SIAM J. Sci. Comput. 39, No. 4, A1435-A1465 (2017). MSC: 65N55 65N30 PDFBibTeX XMLCite \textit{A. Buhr} et al., SIAM J. Sci. Comput. 39, No. 4, A1435--A1465 (2017; Zbl 1369.65160) Full Text: DOI arXiv
Ohlberger, Mario Book review of: A. Quarteroni et al., Reduced basis methods for partial differential equations. An introduction. (English) Zbl 1369.00049 SIAM Rev. 59, No. 3, 690-692 (2017). MSC: 00A17 65Mxx 65Nxx 65-01 65Y20 80A20 80Mxx PDFBibTeX XMLCite \textit{M. Ohlberger}, SIAM Rev. 59, No. 3, 690--692 (2017; Zbl 1369.00049) Full Text: DOI
Ohlberger, Mario; Schindler, Felix Non-conforming localized model reduction with online enrichment: towards optimal complexity in PDE constrained optimization. (English) Zbl 1365.65174 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 357-365 (2017). MSC: 65K10 35Q93 65N30 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{F. Schindler}, Springer Proc. Math. Stat. 200, 357--365 (2017; Zbl 1365.65174) Full Text: DOI
Benner, Peter (ed.); Ohlberger, Mario (ed.); Patera, Anthony (ed.); Rozza, Gianluigi (ed.); Urban, Karsten (ed.) Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. (English) Zbl 1381.65001 MS&A. Modeling, Simulation and Applications 17. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). xii, 504 p. (2017). MSC: 65-06 65Z05 65M55 65K10 00B25 PDFBibTeX XMLCite \textit{P. Benner} (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13--16, 2015. Cham: Springer (2017; Zbl 1381.65001) Full Text: DOI
Smetana, Kathrin; Ohlberger, Mario Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques. (English) Zbl 1362.65129 ESAIM, Math. Model. Numer. Anal. 51, No. 2, 641-677 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N15 65Y20 35J60 65N12 PDFBibTeX XMLCite \textit{K. Smetana} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 51, No. 2, 641--677 (2017; Zbl 1362.65129) Full Text: DOI arXiv
Henning, Patrick; Ohlberger, Mario; Verfürth, Barbara A new heterogeneous multiscale method for time-harmonic Maxwell’s equations. (English) Zbl 1357.35028 SIAM J. Numer. Anal. 54, No. 6, 3493-3522 (2016). MSC: 35B27 65N15 65N30 78M40 35Q61 PDFBibTeX XMLCite \textit{P. Henning} et al., SIAM J. Numer. Anal. 54, No. 6, 3493--3522 (2016; Zbl 1357.35028) Full Text: DOI arXiv
Henning, Patrick; Ohlberger, Mario A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift. (English) Zbl 1357.65147 Discrete Contin. Dyn. Syst., Ser. S 9, No. 5, 1393-1420 (2016). MSC: 65M15 65M60 35K15 35B27 65M50 PDFBibTeX XMLCite \textit{P. Henning} and \textit{M. Ohlberger}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 5, 1393--1420 (2016; Zbl 1357.65147) Full Text: DOI
Kaulmann, S.; Flemisch, B.; Haasdonk, B.; Lie, K.-a.; Ohlberger, M. The localized reduced basis multiscale method for two-phase flows in porous media. (English) Zbl 1352.76057 Int. J. Numer. Methods Eng. 102, No. 5, 1018-1040 (2015). MSC: 76M10 65N30 76S05 PDFBibTeX XMLCite \textit{S. Kaulmann} et al., Int. J. Numer. Methods Eng. 102, No. 5, 1018--1040 (2015; Zbl 1352.76057) Full Text: DOI arXiv
Ohlberger, M.; Schindler, F. Error control for the localized reduced basis multiscale method with adaptive on-line enrichment. (English) Zbl 1329.65255 SIAM J. Sci. Comput. 37, No. 6, A2865-A2895 (2015). MSC: 65N15 65N55 65N30 65Y20 35J20 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{F. Schindler}, SIAM J. Sci. Comput. 37, No. 6, A2865--A2895 (2015; Zbl 1329.65255) Full Text: DOI arXiv
Henning, Patrick; Ohlberger, Mario; Schweizer, Ben Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media. (English) Zbl 1326.76060 Comput. Geosci. 19, No. 1, 99-114 (2015). MSC: 76M10 76S05 76T99 35B27 65N08 65N30 PDFBibTeX XMLCite \textit{P. Henning} et al., Comput. Geosci. 19, No. 1, 99--114 (2015; Zbl 1326.76060) Full Text: DOI arXiv
Henning, Patrick; Ohlberger, Mario Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems. (English) Zbl 1302.65127 Discrete Contin. Dyn. Syst., Ser. S 8, No. 1, 119-150 (2015). MSC: 65G99 65N30 35J60 PDFBibTeX XMLCite \textit{P. Henning} and \textit{M. Ohlberger}, Discrete Contin. Dyn. Syst., Ser. S 8, No. 1, 119--150 (2015; Zbl 1302.65127) Full Text: DOI
Ohlberger, Mario; Rave, Stephan Reduced Basis Methods: Success, Limitations and Future Challenges. arXiv:1511.02021 Preprint, arXiv:1511.02021 [math.NA] (2015). MSC: 41A45 41A46 41A65 65M60 65N30 BibTeX Cite \textit{M. Ohlberger} and \textit{S. Rave}, ``Reduced Basis Methods: Success, Limitations and Future Challenges'', Preprint, arXiv:1511.02021 [math.NA] (2015) Full Text: arXiv OA License
Girke, Stefan; Klöfkorn, Robert; Ohlberger, Mario Efficient parallel simulation of atherosclerotic plaque formation using higher order discontinuous Galerkin schemes. (English) Zbl 1326.92035 Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Cham: Springer (ISBN 978-3-319-05590-9/hbk; 978-3-319-05591-6/ebook; 978-3-319-06402-4/set). Springer Proceedings in Mathematics & Statistics 78, 617-625 (2014). MSC: 92C50 65M60 65Y05 PDFBibTeX XMLCite \textit{S. Girke} et al., Springer Proc. Math. Stat. 78, 617--625 (2014; Zbl 1326.92035) Full Text: DOI arXiv
Henning, Patrick; Ohlberger, Mario; Schweizer, Ben An adaptive multiscale finite element method. (English) Zbl 1312.65191 Multiscale Model. Simul. 12, No. 3, 1078-1107 (2014). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{P. Henning} et al., Multiscale Model. Simul. 12, No. 3, 1078--1107 (2014; Zbl 1312.65191) Full Text: DOI Link
Ohlberger, Mario; Schindler, Felix A-posteriori error estimates for the localized reduced basis multi-scale method. (English) Zbl 1305.65220 Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – methods, theoretical aspects. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. I. Cham: Springer (ISBN 978-3-319-05683-8/hbk; 978-3-319-05684-5/ebook; 978-3-319-06402-4/set). Springer Proceedings in Mathematics & Statistics 77, 421-429 (2014). MSC: 65N15 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{F. Schindler}, Springer Proc. Math. Stat. 77, 421--429 (2014; Zbl 1305.65220) Full Text: DOI arXiv
Ohlberger, Mario; Smetana, Kathrin A dimensional reduction approach based on the application of reduced basis methods in the framework of hierarchical model reduction. (English) Zbl 1296.65163 SIAM J. Sci. Comput. 36, No. 2, 714-736 (2014). MSC: 65N30 35J25 65N15 65Y20 65N50 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{K. Smetana}, SIAM J. Sci. Comput. 36, No. 2, 714--736 (2014; Zbl 1296.65163) Full Text: DOI arXiv Link
Mikula, Karol; Ohlberger, Mario; Urbán, Jozef Inflow-implicit/outflow-explicit finite volume methods for solving advection equations. (English) Zbl 1310.65103 Appl. Numer. Math. 85, 16-37 (2014). MSC: 65M08 PDFBibTeX XMLCite \textit{K. Mikula} et al., Appl. Numer. Math. 85, 16--37 (2014; Zbl 1310.65103) Full Text: DOI
Berninger, Heiko; Ohlberger, Mario; Sander, Oliver; Smetana, Kathrin Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions. (English) Zbl 1288.35023 Math. Models Methods Appl. Sci. 24, No. 5, 901-936 (2014). MSC: 35A35 35K61 65N30 65N55 76S05 35Q35 35K86 PDFBibTeX XMLCite \textit{H. Berninger} et al., Math. Models Methods Appl. Sci. 24, No. 5, 901--936 (2014; Zbl 1288.35023) Full Text: DOI arXiv
Fuhrmann, Jürgen (ed.); Ohlberger, Mario (ed.); Rohde, Christian (ed.) Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. (English) Zbl 1291.65005 Springer Proceedings in Mathematics & Statistics 78. Cham: Springer (ISBN 978-3-319-05590-9/hbk; 978-3-319-05591-6/ebook; 978-3-319-06402-4/set). xviii, 471-987. (2014). MSC: 65-06 65M08 65N08 65Z05 76M12 78M12 85-08 86-08 92-08 00B25 PDFBibTeX XMLCite \textit{J. Fuhrmann} (ed.) et al., Finite volumes for complex applications VII -- elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15--20, 2014. Vol. II. Cham: Springer (2014; Zbl 1291.65005) Full Text: DOI
Fuhrmann, Jürgen (ed.); Ohlberger, Mario (ed.); Rohde, Christian (ed.) Finite volumes for complex applications VII – methods, theoretical aspects. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. I. (English) Zbl 1291.65004 Springer Proceedings in Mathematics & Statistics 77. Cham: Springer (ISBN 978-3-319-05683-8/hbk; 978-3-319-05684-5/ebook; 978-3-319-06402-4/set). xviii, 468 p. (2014). MSC: 65-06 65M08 65N08 65Z05 76M12 78M12 85-08 86-08 92-08 00B25 PDFBibTeX XMLCite \textit{J. Fuhrmann} (ed.) et al., Finite volumes for complex applications VII -- methods, theoretical aspects. Proceedings of the FVCA 7, Berlin, Germany, June 15--20, 2014. Vol. I. Cham: Springer (2014; Zbl 1291.65004) Full Text: DOI
Ohlberger, Mario; Rave, Stephan 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.) (English. Abridged French version) Zbl 1281.65117 C. R., Math., Acad. Sci. Paris 351, No. 23-24, 901-906 (2013). MSC: 65M08 35Q53 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{S. Rave}, C. R., Math., Acad. Sci. Paris 351, No. 23--24, 901--906 (2013; Zbl 1281.65117) Full Text: DOI arXiv
Albrecht, Felix; Haasdonk, Bernard; Kaulmann, Sven; Ohlberger, Mario The localized reduced basis multiscale method. (English) Zbl 1278.65172 Handlovičová, Angela (ed.) et al., Algoritmy 2012. 19th conference on scientific computing, Vysoké Tatry, Podbanské, Slovakia, September 9–14, 2012. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry (ISBN 978-80-227-3742-5/pbk). 393-403 (2012). MSC: 65N30 35J20 35B27 PDFBibTeX XMLCite \textit{F. Albrecht} et al., in: Algoritmy 2012. 19th conference on scientific computing, Vysoké Tatry, Podbanské, Slovakia, September 9--14, 2012. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. 393--403 (2012; Zbl 1278.65172)
Ohlberger, Mario; Schaefer, Michael A reduced basis method for parameter optimization of multiscale problems. (English) Zbl 1278.65181 Handlovičová, Angela (ed.) et al., Algoritmy 2012. 19th conference on scientific computing, Vysoké Tatry, Podbanské, Slovakia, September 9–14, 2012. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry (ISBN 978-80-227-3742-5/pbk). 272-281 (2012). MSC: 65N30 35J20 35B27 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{M. Schaefer}, in: Algoritmy 2012. 19th conference on scientific computing, Vysoké Tatry, Podbanské, Slovakia, September 9--14, 2012. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. 272--281 (2012; Zbl 1278.65181)
Henning, Patrick; Ohlberger, Mario A Newton-scheme framework for multiscale methods for nonlinear elliptic homogenization problems. (English) Zbl 1278.65178 Handlovičová, Angela (ed.) et al., Algoritmy 2012. 19th conference on scientific computing, Vysoké Tatry, Podbanské, Slovakia, September 9–14, 2012. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry (ISBN 978-80-227-3742-5/pbk). 65-74 (2012). MSC: 65N30 35J60 68W25 74Q15 PDFBibTeX XMLCite \textit{P. Henning} and \textit{M. Ohlberger}, in: Algoritmy 2012. 19th conference on scientific computing, Vysoké Tatry, Podbanské, Slovakia, September 9--14, 2012. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. 65--74 (2012; Zbl 1278.65178)
Bastian, Peter; Berninger, Heiko; Dedner, Andreas; Engwer, Christian; Henning, Patrick; Kornhuber, Ralf; Kröner, Dietmar; Ohlberger, Mario; Sander, Oliver; Schiffler, Gerd; Shokina, Nina; Smetana, Kathrin Adaptive modelling of coupled hydrological processes with application in water management. (English) Zbl 1348.76034 Günther, Michael (ed.) et al., Progress in industrial mathematics at ECMI 2010. Proceedings of the 16th European conference on mathematics for industry, Wuppertal, Germany, July 26–30, 2010. Berlin: Springer (ISBN 978-3-642-25099-6/hbk; 978-3-642-25100-9/ebook). Mathematics in Industry 17, 561-567 (2012). MSC: 76B15 35Q55 76M10 65M60 65M55 PDFBibTeX XMLCite \textit{P. Bastian} et al., Math. Ind. 17, 561--567 (2012; Zbl 1348.76034) Full Text: DOI Link
Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario Reduced basis approximation for nonlinear parametrized evolution equations based on empirical operator interpolation. (English) Zbl 1259.65133 SIAM J. Sci. Comput. 34, No. 2, A937-A969 (2012). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M08 65M15 35K90 65J08 35R05 PDFBibTeX XMLCite \textit{M. Drohmann} et al., SIAM J. Sci. Comput. 34, No. 2, A937--A969 (2012; Zbl 1259.65133) Full Text: DOI
Haasdonk, Bernard; Dihlmann, Markus; Ohlberger, Mario A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space. (English) Zbl 1302.65221 Math. Comput. Model. Dyn. Syst. 17, No. 4, 423-442 (2011). MSC: 65M50 93B11 93C40 PDFBibTeX XMLCite \textit{B. Haasdonk} et al., Math. Comput. Model. Dyn. Syst. 17, No. 4, 423--442 (2011; Zbl 1302.65221) Full Text: DOI Link
Mikula, Karol; Ohlberger, Mario Inflow-implicit/outflow-explicit scheme for solving advection equations. (English) Zbl 1246.65167 Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 683-691 (2011). MSC: 65M08 35L04 PDFBibTeX XMLCite \textit{K. Mikula} and \textit{M. Ohlberger}, Springer Proc. Math. 4, 683--691 (2011; Zbl 1246.65167) Full Text: DOI
Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario Adaptive reduced basis methods for nonlinear convection-diffusion equations. (English) Zbl 1246.76124 Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 369-377 (2011). MSC: 76M25 35Q30 65M08 65J15 PDFBibTeX XMLCite \textit{M. Drohmann} et al., Springer Proc. Math. 4, 369--377 (2011; Zbl 1246.76124) Full Text: DOI
Kaulmann, Sven; Ohlberger, Mario; Haasdonk, Bernard A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems. (English. Abridged French version) Zbl 1269.65127 C. R., Math., Acad. Sci. Paris 349, No. 23-24, 1233-1238 (2011). MSC: 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{S. Kaulmann} et al., C. R., Math., Acad. Sci. Paris 349, No. 23--24, 1233--1238 (2011; Zbl 1269.65127) Full Text: DOI
Haasdonk, Bernard; Ohlberger, Mario Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition. (English) Zbl 1230.37110 Math. Comput. Model. Dyn. Syst. 17, No. 2, 145-161 (2011). Reviewer: Rakib Efendiev (Baku) MSC: 37N30 65M60 PDFBibTeX XMLCite \textit{B. Haasdonk} and \textit{M. Ohlberger}, Math. Comput. Model. Dyn. Syst. 17, No. 2, 145--161 (2011; Zbl 1230.37110) Full Text: DOI
Henning, Patrick; Ohlberger, Mario The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. (English) Zbl 1264.65161 Netw. Heterog. Media 5, No. 4, 711-744 (2010). MSC: 65M60 35K15 65M55 65M15 PDFBibTeX XMLCite \textit{P. Henning} and \textit{M. Ohlberger}, Netw. Heterog. Media 5, No. 4, 711--744 (2010; Zbl 1264.65161) Full Text: DOI
Mikula, Karol; Ohlberger, Mario A new level set method for motion in normal direction based on a semi-implicit forward-backward diffusion approach. (English) Zbl 1223.65072 SIAM J. Sci. Comput. 32, No. 3, 1527-1544 (2010). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M08 76M12 35K20 76R50 35A35 PDFBibTeX XMLCite \textit{K. Mikula} and \textit{M. Ohlberger}, SIAM J. Sci. Comput. 32, No. 3, 1527--1544 (2010; Zbl 1223.65072) Full Text: DOI
Dedner, Andreas; Klöfkorn, Robert; Nolte, Martin; Ohlberger, Mario A generic interface for parallel and adaptive discretization schemes: Abstraction principles and the DUNE-FEM module. (English) Zbl 1201.65178 Computing 90, No. 3-4, 165-196 (2010). MSC: 65M60 65Y05 68U20 PDFBibTeX XMLCite \textit{A. Dedner} et al., Computing 90, No. 3--4, 165--196 (2010; Zbl 1201.65178) Full Text: DOI
Haasdonk, Bernard; Ohlberger, Mario Reduced basis method for explicit finite volume approximations of nonlinear conservation laws. (English) Zbl 1407.76084 Tadmor, Eitan (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Contributed talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Appl. Math. 67, Part 2, 605-614 (2009). MSC: 76M12 65M08 35L65 PDFBibTeX XMLCite \textit{B. Haasdonk} and \textit{M. Ohlberger}, Proc. Symp. Appl. Math. 67, 605--614 (2009; Zbl 1407.76084)
Henning, Patrick; Ohlberger, Mario The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. (English) Zbl 1185.65210 Numer. Math. 113, No. 4, 601-629 (2009). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65N15 65N12 35J25 35B27 PDFBibTeX XMLCite \textit{P. Henning} and \textit{M. Ohlberger}, Numer. Math. 113, No. 4, 601--629 (2009; Zbl 1185.65210) Full Text: DOI
Drohmann, Martin; Haasdonk, Bernard; Ohlberger, Mario Reduced basis method for finite volume approximation of evolution equations on parametrized geometries. (English) Zbl 1171.65422 Handlovičová, Angela (ed.) et al., Algoritmy 2009. 18th conference on scientific computing, Vysoké Tatry – Podbsanské, Slovakia, March 15–20, 2009. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry (ISBN 978-80-227-3032-7/pbk). 111-120 (2009). MSC: 65M06 35K05 35K57 PDFBibTeX XMLCite \textit{M. Drohmann} et al., in: Algoritmy 2009. 18th conference on scientific computing, Vysoké Tatry -- Podbsanské, Slovakia, March 15--20, 2009. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. 111--120 (2009; Zbl 1171.65422)
Ohlberger, Mario A review of a posteriori error control and adaptivity for approximations of non-linear conservation laws. (English) Zbl 1185.65163 Int. J. Numer. Methods Fluids 59, No. 3, 333-354 (2009). MSC: 65M15 PDFBibTeX XMLCite \textit{M. Ohlberger}, Int. J. Numer. Methods Fluids 59, No. 3, 333--354 (2009; Zbl 1185.65163) Full Text: DOI
Haasdonk, Bernard; Ohlberger, Mario Adaptive basis enrichment for the reduced basis method applied to finite volume schemes. (English) Zbl 1422.65207 Eymard, Robert (ed.) et al., Finite volumes for complex applications. V. Proceedings of the 5th International Symposium, Aussois, June 2008. London: ISTE. 471-478 (2008). MSC: 65M08 PDFBibTeX XMLCite \textit{B. Haasdonk} and \textit{M. Ohlberger}, in: Finite volumes for complex applications. V. Proceedings of the 5th International Symposium, Aussois, June 2008. London: ISTE. 471--478 (2008; Zbl 1422.65207)
Haasdonk, B.; Ohlberger, M.; Rozza, G. A reduced basis method for evolution schemes with parameter-dependent explicit operators. (English) Zbl 1391.76413 ETNA, Electron. Trans. Numer. Anal. 32, 145-161 (2008). MSC: 76M12 76M10 65M60 35Q35 65M15 35L90 35K90 PDFBibTeX XMLCite \textit{B. Haasdonk} et al., ETNA, Electron. Trans. Numer. Anal. 32, 145--161 (2008; Zbl 1391.76413) Full Text: EMIS
Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O. A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. (English) Zbl 1151.65088 Computing 82, No. 2-3, 121-138 (2008). MSC: 65N30 65N50 65N55 65Y05 35J05 PDFBibTeX XMLCite \textit{P. Bastian} et al., Computing 82, No. 2--3, 121--138 (2008; Zbl 1151.65088) Full Text: DOI
Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Ohlberger, M.; Sander, O. A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework. (English) Zbl 1151.65089 Computing 82, No. 2-3, 103-119 (2008). MSC: 65N30 65N50 65N55 65Y05 PDFBibTeX XMLCite \textit{P. Bastian} et al., Computing 82, No. 2--3, 103--119 (2008; Zbl 1151.65089) Full Text: DOI
Haasdonk, Bernard; Ohlberger, Mario Reduced basis method for finite volume approximations of parametrized linear evolution equations. (English) Zbl 1388.76177 ESAIM, Math. Model. Numer. Anal. 42, No. 2, 277-302 (2008). MSC: 76M12 65M15 35L90 35K90 76R99 PDFBibTeX XMLCite \textit{B. Haasdonk} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 42, No. 2, 277--302 (2008; Zbl 1388.76177) Full Text: DOI EuDML
Dedner, A.; Ohlberger, M. A new \(hp\)-adaptive DG scheme for conservation laws based on error control. (English) Zbl 1138.65089 Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Berlin: Springer (ISBN 978-3-540-75711-5/hbk). 187-198 (2008). MSC: 65M60 65M15 35L65 PDFBibTeX XMLCite \textit{A. Dedner} and \textit{M. Ohlberger}, in: Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006. Berlin: Springer. 187--198 (2008; Zbl 1138.65089) Full Text: DOI
Dedner, Andreas; Makridakis, Charalambos; Ohlberger, Mario Error control for a class of Runge-Kutta discontinuous Galerkin methods for nonlinear conservation laws. (English) Zbl 1145.65072 SIAM J. Numer. Anal. 45, No. 2, 514-538 (2007). MSC: 65M60 35L65 76M10 65M15 PDFBibTeX XMLCite \textit{A. Dedner} et al., SIAM J. Numer. Anal. 45, No. 2, 514--538 (2007; Zbl 1145.65072) Full Text: DOI
Ohlberger, Mario; Vovelle, Julien Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method. (English) Zbl 1082.65112 Math. Comput. 75, No. 253, 113-150 (2006). Reviewer: Qin Mengzhao (Beijing) MSC: 65N15 65N30 35A35 35L65 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{J. Vovelle}, Math. Comput. 75, No. 253, 113--150 (2006; Zbl 1082.65112) Full Text: DOI
Ohlberger, Mario Error control for approximations of non-linear conservation laws. (English) Zbl 1422.65297 Benkhaldoun, Fayssal (ed.) et al., Finite volumes for complex applications IV. Papers from the 4th international symposium held in Marrakech, Morocco, July 2005. London: Iste. 85-100 (2005). MSC: 65M99 35L65 PDFBibTeX XMLCite \textit{M. Ohlberger}, in: Finite volumes for complex applications IV. Papers from the 4th international symposium held in Marrakech, Morocco, July 2005. London: Iste. 85--100 (2005; Zbl 1422.65297)
Ohlberger, Mario A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. (English) Zbl 1090.65128 Multiscale Model. Simul. 4, No. 1, 88-114 (2005). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65N15 35A35 35B27 65N30 74Q15 PDFBibTeX XMLCite \textit{M. Ohlberger}, Multiscale Model. Simul. 4, No. 1, 88--114 (2005; Zbl 1090.65128) Full Text: DOI
Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin Towards a unified framework for scientific computing. (English) Zbl 1067.65103 Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 167-174 (2005). MSC: 65M60 35L45 65Y15 68W30 PDFBibTeX XMLCite \textit{P. Bastian} et al., Lect. Notes Comput. Sci. Eng. 40, 167--174 (2005; Zbl 1067.65103) Full Text: DOI
Ohlberger, Mario Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media. (English) Zbl 1120.76341 Comput. Vis. Sci. 7, No. 1, 41-51 (2004). MSC: 76M12 76S05 76V05 65M06 PDFBibTeX XMLCite \textit{M. Ohlberger}, Comput. Vis. Sci. 7, No. 1, 41--51 (2004; Zbl 1120.76341) Full Text: DOI
Küther, Marc; Ohlberger, Mario Adaptive second-order central schemes on unstructured staggered grids. (English) Zbl 1134.65357 Hou, Thomas Y. (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25–29, 2002. Berlin: Springer (ISBN 3-540-44333-9/hbk). 675-684 (2003). MSC: 65M06 65M50 PDFBibTeX XMLCite \textit{M. Küther} and \textit{M. Ohlberger}, in: Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25--29, 2002. Berlin: Springer. 675--684 (2003; Zbl 1134.65357) Full Text: DOI
Kröner, Dietmar; Küther, Marc; Ohlberger, Mario; Rohde, Christian A posteriori error estimates and adaptive methods for hyperbolic and convection dominated parabolic conservation laws. (English) Zbl 1076.35072 Kirkilionis, Markus (ed.) et al., Trends in nonlinear analysis. On the occasion of the 60th birthday of Willi Jäger. Berlin: Springer (ISBN 3-540-44198-0/hbk). 289-306 (2003). Reviewer: Mária Lukáčová (Hamburg) MSC: 35L65 65M15 PDFBibTeX XMLCite \textit{D. Kröner} et al., in: Trends in nonlinear analysis. On the occasion of the 60th birthday of Willi Jäger. Berlin: Springer. 289--306 (2003; Zbl 1076.35072)
Herbin, Raphaèle; Ohlberger, Mario A posteriori error estimate for finite volume approximations of convection diffusion problems. (English) Zbl 1060.65103 Herbin, Raphaéle (ed.) et al., Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. London: Hermes Penton Science (ISBN 1-9039-9634-1/pbk). 753-760 (2002). MSC: 65M15 65M06 65M12 35K55 35K65 PDFBibTeX XMLCite \textit{R. Herbin} and \textit{M. Ohlberger}, in: Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24--28, 2002. London: Hermes Penton Science. 753--760 (2002; Zbl 1060.65103)
Ohlberger, Mario; Rohde, Christian Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. (English) Zbl 1007.65059 IMA J. Numer. Anal. 22, No. 2, 253-280 (2002). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65M06 65M15 35K57 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{C. Rohde}, IMA J. Numer. Anal. 22, No. 2, 253--280 (2002; Zbl 1007.65059) Full Text: DOI
Ohlberger, Mario A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations. (English) Zbl 0992.65100 M2AN, Math. Model. Numer. Anal. 35, No. 2, 355-387 (2001). Reviewer: S.K.Rangarajan (Yorktown Heights) MSC: 65M15 35K57 65M06 35K65 PDFBibTeX XMLCite \textit{M. Ohlberger}, M2AN, Math. Model. Numer. Anal. 35, No. 2, 355--387 (2001; Zbl 0992.65100) Full Text: DOI Numdam EuDML
Ohlberger, M. A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations. (English) Zbl 0973.65076 Numer. Math. 87, No. 4, 737-761 (2001). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M15 65M06 35K55 35B25 PDFBibTeX XMLCite \textit{M. Ohlberger}, Numer. Math. 87, No. 4, 737--761 (2001; Zbl 0973.65076) Full Text: DOI
Kröner, Dietmar; Ohlberger, Mario A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions. (English) Zbl 0934.65102 Math. Comput. 69, No. 229, 25-39 (2000). Reviewer: P.Y.Yalamov (Russe) MSC: 65M15 65M60 35L65 PDFBibTeX XMLCite \textit{D. Kröner} and \textit{M. Ohlberger}, Math. Comput. 69, No. 229, 25--39 (2000; Zbl 0934.65102) Full Text: DOI
Ohlberger, Mario Adaptive mesh refinement for single and two phase flow problems in porous media. (English) Zbl 1052.65544 Vilsmeier, Roland (ed.) et al., Finite volumes for complex applications II. Problems and perspectives. Papers from the 2nd international conference, Duisburg, July 19–22, 1999. Paris: Hermes Science Publications (ISBN 1-7462-0057-0). 761-768 (1999). MSC: 65M60 76M12 76S05 PDFBibTeX XMLCite \textit{M. Ohlberger}, in: Finite volumes for complex applications II. Problems and perspectives. Papers from the 2nd international conference, Duisburg, July 19--22, 1999. Paris: Hermes Science Publications. 761--768 (1999; Zbl 1052.65544)
Grüne, L.; Metscher, M.; Ohlberger, M. On numerical algorithm and interactive visualization for optimal control problems. (English) Zbl 0970.65073 Comput. Vis. Sci. 1, No. 4, 221-229 (1999). MSC: 65K10 49L20 68U05 PDFBibTeX XMLCite \textit{L. Grüne} et al., Comput. Vis. Sci. 1, No. 4, 221--229 (1999; Zbl 0970.65073) Full Text: DOI Link
Kröner, Dietmar (ed.); Ohlberger, Mario (ed.); Rohde, Christian (ed.) An introduction to recent developments in theory and numerics for conservation laws. Proceedings of the international school, Freiburg/ Littenweiler, Germany, October 20–24, 1997. (English) Zbl 0904.00045 Lecture Notes in Computational Science and Engineering. 5. Berlin: Springer. vii, 285 p. (1999). MSC: 00B25 65-06 76-06 35-06 PDFBibTeX XMLCite \textit{D. Kröner} (ed.) et al., An introduction to recent developments in theory and numerics for conservation laws. Proceedings of the international school, Freiburg/ Littenweiler, Germany, October 20--24, 1997. Berlin: Springer (1999; Zbl 0904.00045)
Ohlberger, M.; Rumpf, M. Hierarchical and adaptive visualization on nested grids. (English) Zbl 0944.65022 Computing 59, No. 4, 365-385 (1997). Reviewer: P.Matus (Minsk) MSC: 65D18 65N50 68U05 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{M. Rumpf}, Computing 59, No. 4, 365--385 (1997; Zbl 0944.65022) Full Text: DOI
Ohlberger, M. Convergence of a mixed finite element-finite volume method for the two phase flow in porous media. (English) Zbl 0899.76261 East-West J. Numer. Math. 5, No. 3, 183-210 (1997). MSC: 76M10 76M25 76T99 76S05 65M12 PDFBibTeX XMLCite \textit{M. Ohlberger}, East-West J. Numer. Math. 5, No. 3, 183--210 (1997; Zbl 0899.76261)