Henning, Patrick; Ohlberger, Mario; Verfürth, Barbara A new heterogeneous multiscale method for time-harmonic Maxwell’s equations. (English) Zbl 1357.35028 SIAM J. Numer. Anal. 54, No. 6, 3493-3522 (2016). MSC: 35B27 65N15 65N30 78M40 35Q61 PDFBibTeX XMLCite \textit{P. Henning} et al., SIAM J. Numer. Anal. 54, No. 6, 3493--3522 (2016; Zbl 1357.35028) Full Text: DOI arXiv
Henning, Patrick; Ohlberger, Mario A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift. (English) Zbl 1357.65147 Discrete Contin. Dyn. Syst., Ser. S 9, No. 5, 1393-1420 (2016). MSC: 65M15 65M60 35K15 35B27 65M50 PDFBibTeX XMLCite \textit{P. Henning} and \textit{M. Ohlberger}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 5, 1393--1420 (2016; Zbl 1357.65147) Full Text: DOI
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
Henning, Patrick; Ohlberger, Mario Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems. (English) Zbl 1302.65127 Discrete Contin. Dyn. Syst., Ser. S 8, No. 1, 119-150 (2015). MSC: 65G99 65N30 35J60 PDFBibTeX XMLCite \textit{P. Henning} and \textit{M. Ohlberger}, Discrete Contin. Dyn. Syst., Ser. S 8, No. 1, 119--150 (2015; Zbl 1302.65127) Full Text: DOI
Henning, Patrick; Ohlberger, Mario; Schweizer, Ben An adaptive multiscale finite element method. (English) Zbl 1312.65191 Multiscale Model. Simul. 12, No. 3, 1078-1107 (2014). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{P. Henning} et al., Multiscale Model. Simul. 12, No. 3, 1078--1107 (2014; Zbl 1312.65191) Full Text: DOI Link
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
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)
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
Henning, Patrick; Ohlberger, Mario A note on homogenization of advection-diffusion problems with large expected drift. (English) Zbl 1223.35042 Z. Anal. Anwend. 30, No. 3, 319-339 (2011). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35K15 35K57 PDFBibTeX XMLCite \textit{P. Henning} and \textit{M. Ohlberger}, Z. Anal. Anwend. 30, No. 3, 319--339 (2011; Zbl 1223.35042) Full Text: DOI
Henning, Patrick; Ohlberger, Mario The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. (English) Zbl 1264.65161 Netw. Heterog. Media 5, No. 4, 711-744 (2010). MSC: 65M60 35K15 65M55 65M15 PDFBibTeX XMLCite \textit{P. Henning} and \textit{M. Ohlberger}, Netw. Heterog. Media 5, No. 4, 711--744 (2010; Zbl 1264.65161) Full Text: DOI
Henning, Patrick; Ohlberger, Mario The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. (English) Zbl 1185.65210 Numer. Math. 113, No. 4, 601-629 (2009). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65N15 65N12 35J25 35B27 PDFBibTeX XMLCite \textit{P. Henning} and \textit{M. Ohlberger}, Numer. Math. 113, No. 4, 601--629 (2009; Zbl 1185.65210) Full Text: DOI