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
Keil, Tim; Kleikamp, Hendrik; Lorentzen, Rolf J.; Oguntola, Micheal B.; Ohlberger, Mario Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. (English) Zbl 07618976 Adv. Comput. Math. 48, No. 6, Paper No. 73, 35 p. (2022). MSC: 68T07 90C90 PDFBibTeX XMLCite \textit{T. Keil} et al., Adv. Comput. Math. 48, No. 6, Paper No. 73, 35 p. (2022; Zbl 07618976) Full Text: DOI arXiv
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
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)
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
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
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
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
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