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
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, 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
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
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
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