Renelt, Lukas; Engwer, Christian; Ohlberger, Mario An optimally stable approximation of reactive transport using discrete test and infinite trial spaces. (English) Zbl 07802999 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 289-298 (2023). MSC: 65N30 65N12 35A15 35Q49 PDFBibTeX XMLCite \textit{L. Renelt} et al., Springer Proc. Math. Stat. 433, 289--298 (2023; Zbl 07802999) Full Text: DOI arXiv
Engwer, Christian; Ohlberger, Mario; Renelt, Lukas Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems. arXiv:2310.19674 Preprint, arXiv:2310.19674 [math.NA] (2023). BibTeX Cite \textit{C. Engwer} et al., ``Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems'', Preprint, arXiv:2310.19674 [math.NA] (2023) Full Text: arXiv OA License
Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver The Dune framework: basic concepts and recent developments. (English) Zbl 1524.65003 Comput. Math. Appl. 81, 75-112 (2021). MSC: 65-04 65N30 65N55 65M60 65N15 65N50 35R37 PDFBibTeX XMLCite \textit{P. Bastian} et al., Comput. Math. Appl. 81, 75--112 (2021; Zbl 1524.65003) Full Text: DOI arXiv
Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan ArbiLoMod: local solution spaces by random training in electrodynamics. (English) Zbl 1388.78019 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 137-148 (2017). MSC: 78M34 78M10 78A25 35Q60 35R09 PDFBibTeX XMLCite \textit{A. Buhr} et al., MS\&A, Model. Simul. Appl. 17, 137--148 (2017; Zbl 1388.78019) 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
Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan A numerically stable a posteriori error estimator for reduced basis approximations of elliptic equations. arXiv:1407.8005 Preprint, arXiv:1407.8005 [math.NA] (2014). BibTeX Cite \textit{A. Buhr} et al., ``A numerically stable a posteriori error estimator for reduced basis approximations of elliptic equations'', Preprint, arXiv:1407.8005 [math.NA] (2014) Full Text: arXiv OA License
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
Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O. A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. (English) Zbl 1151.65088 Computing 82, No. 2-3, 121-138 (2008). MSC: 65N30 65N50 65N55 65Y05 35J05 PDFBibTeX XMLCite \textit{P. Bastian} et al., Computing 82, No. 2--3, 121--138 (2008; Zbl 1151.65088) Full Text: DOI
Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Ohlberger, M.; Sander, O. A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework. (English) Zbl 1151.65089 Computing 82, No. 2-3, 103-119 (2008). MSC: 65N30 65N50 65N55 65Y05 PDFBibTeX XMLCite \textit{P. Bastian} et al., Computing 82, No. 2--3, 103--119 (2008; Zbl 1151.65089) 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