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
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
Dedner, Andreas; Klöfkorn, Robert; Nolte, Martin; Ohlberger, Mario A generic interface for parallel and adaptive discretization schemes: Abstraction principles and the DUNE-FEM module. (English) Zbl 1201.65178 Computing 90, No. 3-4, 165-196 (2010). MSC: 65M60 65Y05 68U20 PDFBibTeX XMLCite \textit{A. Dedner} et al., Computing 90, No. 3--4, 165--196 (2010; Zbl 1201.65178) Full Text: DOI
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
Dedner, A.; Ohlberger, M. A new \(hp\)-adaptive DG scheme for conservation laws based on error control. (English) Zbl 1138.65089 Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Berlin: Springer (ISBN 978-3-540-75711-5/hbk). 187-198 (2008). MSC: 65M60 65M15 35L65 PDFBibTeX XMLCite \textit{A. Dedner} and \textit{M. Ohlberger}, in: Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006. Berlin: Springer. 187--198 (2008; Zbl 1138.65089) Full Text: DOI
Dedner, Andreas; Makridakis, Charalambos; Ohlberger, Mario Error control for a class of Runge-Kutta discontinuous Galerkin methods for nonlinear conservation laws. (English) Zbl 1145.65072 SIAM J. Numer. Anal. 45, No. 2, 514-538 (2007). MSC: 65M60 35L65 76M10 65M15 PDFBibTeX XMLCite \textit{A. Dedner} et al., SIAM J. Numer. Anal. 45, No. 2, 514--538 (2007; Zbl 1145.65072) Full Text: DOI
Burri, A.; Dedner, A.; Diehl, D.; Klöfkorn, R.; Ohlberger, M. A general object-oriented framework for discretizing nonlinear evolution equations. (English) Zbl 1310.76113 Shokin, Yuri (ed.) et al., Advances in high performance computing and computational sciences. The 1st Kazakh-German advanced research workshop, Almaty, Kazakhstan, September 25 – October 1, 2005. Berlin: Springer (ISBN 3-540-33864-0/hbk). Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM) 93, 69-87 (2006). MSC: 76M20 76S05 76T30 68N19 PDFBibTeX XMLCite \textit{A. Burri} et al., in: Advances in high performance computing and computational sciences. The 1st Kazakh-German advanced research workshop, Almaty, Kazakhstan, September 25 -- October 1, 2005. Berlin: Springer. 69--87 (2006; Zbl 1310.76113) Full Text: DOI