Gavrilenko, Pavel; Haasdonk, Bernard; Iliev, Oleg; Ohlberger, Mario; Schindler, Felix; Toktaliev, Pavel; Wenzel, Tizian; Youssef, Maha A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. (English) Zbl 1501.76062 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, 378-386 (2022). MSC: 76M99 76V05 68T05 PDFBibTeX XMLCite \textit{P. Gavrilenko} et al., Lect. Notes Comput. Sci. 13127, 378--386 (2022; Zbl 1501.76062) Full Text: DOI arXiv
Mohring, Jan; Milk, René; Ngo, Adrian; Klein, Ole; Iliev, Oleg; Ohlberger, Mario; Bastian, Peter Uncertainty quantification for porous media flow using multilevel Monte Carlo. (English) Zbl 1459.76109 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 10th international conference, LSSC 2015, Sozopol, Bulgaria, June 8–12, 2015. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9374, 145-152 (2015). MSC: 76M35 76M10 76S05 PDFBibTeX XMLCite \textit{J. Mohring} et al., Lect. Notes Comput. Sci. 9374, 145--152 (2015; Zbl 1459.76109) 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
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
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
Henning, Patrick; Ohlberger, Mario; Schweizer, Ben Homogenization of the degenerate two-phase flow equations. (English) Zbl 1373.35032 Math. Models Methods Appl. Sci. 23, No. 12, 2323-2352 (2013). MSC: 35B27 35Q35 76S05 76T99 PDFBibTeX XMLCite \textit{P. Henning} et al., Math. Models Methods Appl. Sci. 23, No. 12, 2323--2352 (2013; Zbl 1373.35032) Full Text: DOI
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 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
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
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)
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
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
Ohlberger, Mario; Schweizer, Ben Modelling of interfaces in unsaturated porous media. (English) Zbl 1163.76417 Discrete Contin. Dyn. Syst. 2007, Suppl., 794-803 (2007). MSC: 76S05 35K60 35K65 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{B. Schweizer}, Discrete Contin. Dyn. Syst. 2007, 794--803 (2007; Zbl 1163.76417)
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
Burri, A.; Dedner, A.; Diehl, D.; Klöfkorn, R.; Ohlberger, M. A general object-oriented framework for discretizing nonlinear evolution equations. (English) Zbl 1310.76113 Shokin, Yuri (ed.) et al., Advances in high performance computing and computational sciences. The 1st Kazakh-German advanced research workshop, Almaty, Kazakhstan, September 25 – October 1, 2005. Berlin: Springer (ISBN 3-540-33864-0/hbk). Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM) 93, 69-87 (2006). MSC: 76M20 76S05 76T30 68N19 PDFBibTeX XMLCite \textit{A. Burri} et al., in: Advances in high performance computing and computational sciences. The 1st Kazakh-German advanced research workshop, Almaty, Kazakhstan, September 25 -- October 1, 2005. Berlin: Springer. 69--87 (2006; Zbl 1310.76113) 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
Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. Multiresolution visualization of higher-order adaptive finite element simulations. (English) Zbl 1024.76038 Computing 70, No. 3, 181-204 (2003). MSC: 76M27 76M10 PDFBibTeX XMLCite \textit{B. Haasdonk} et al., Computing 70, No. 3, 181--204 (2003; Zbl 1024.76038)
Bürkle, David; Ohlberger, Mario Adaptive finite volume methods for displacement problems in porous media. (English) Zbl 1052.76577 Comput. Vis. Sci. 5, No. 2, 95-106 (2002). MSC: 76S05 PDFBibTeX XMLCite \textit{D. Bürkle} and \textit{M. Ohlberger}, Comput. Vis. Sci. 5, No. 2, 95--106 (2002; Zbl 1052.76577) Full Text: DOI
Klöfkorn, Robert; Kröner, Dietmar; Ohlberger, Mario Local adaptive methods for convection dominated problems. (English) Zbl 1058.76576 Int. J. Numer. Methods Fluids 40, No. 1-2, 79-91 (2002). MSC: 76M12 76R99 76Z99 PDFBibTeX XMLCite \textit{R. Klöfkorn} et al., Int. J. Numer. Methods Fluids 40, No. 1--2, 79--91 (2002; Zbl 1058.76576) Full Text: DOI
Ohlberger, Mario A posteriori error estimates and adaptive methods for convection-dominated transport processes. (English) Zbl 1003.76003 Freiburg: Univ. Freiburg, Institut für Angewandte Mathematik, 111 p. (2001). Reviewer: Ioan Pop (Cluj-Napoca) MSC: 76-02 76M12 76S05 76R99 76M10 PDFBibTeX XMLCite \textit{M. Ohlberger}, A posteriori error estimates and adaptive methods for convection-dominated transport processes. Freiburg: Univ. Freiburg, Institut für Angewandte Mathematik (2001; Zbl 1003.76003)
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)
Ohlberger, M. Mixed finite element-finite volume methods for two phase flow in porous media. (English) Zbl 1119.76353 Iliev, O.P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19–23, 1998. Singapore: World Scientific (ISBN 981-02-3827-4). 461-469 (1999). MSC: 76M10 76M12 76S05 76T10 PDFBibTeX XMLCite \textit{M. Ohlberger}, in: Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA '98, Sofia, Bulgaria, August 19--23, 1998. Singapore: World Scientific. 461--469 (1999; Zbl 1119.76353)
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. 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)