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
Wenzel, Tizian; Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling. arXiv:2302.14526 Preprint, arXiv:2302.14526 [math.NA] (2023). BibTeX Cite \textit{T. Wenzel} et al., ``Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling'', Preprint, arXiv:2302.14526 [math.NA] (2023) Full Text: arXiv OA License
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
Haasdonk, Bernard; Ohlberger, Mario; Schindler, Felix An adaptive model hierarchy for data-augmented training of kernel models for reactive flow. arXiv:2110.12388 Preprint, arXiv:2110.12388 [math.NA] (2021). BibTeX Cite \textit{B. Haasdonk} et al., ``An adaptive model hierarchy for data-augmented training of kernel models for reactive flow'', Preprint, arXiv:2110.12388 [math.NA] (2021) Full Text: arXiv OA License
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
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)
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
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
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)
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)
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
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
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)