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
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
Ohlberger, Mario; Smetana, Kathrin Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach. (English) Zbl 1349.74007 J. Comput. Phys. 321, 1185-1205 (2016). MSC: 74-04 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{K. Smetana}, J. Comput. Phys. 321, 1185--1205 (2016; Zbl 1349.74007) Full Text: DOI arXiv
Brunken, Julia; Leibner, Tobias; Ohlberger, Mario; Smetana, Kathrin Problem adapted Hierarchical Model Reduction for the Fokker-Planck equation. arXiv:1511.02073 Preprint, arXiv:1511.02073 [math.NA] (2015). BibTeX Cite \textit{J. Brunken} et al., ``Problem adapted Hierarchical Model Reduction for the Fokker-Planck equation'', Preprint, arXiv:1511.02073 [math.NA] (2015) Full Text: arXiv OA License
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
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
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