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
Girke, Stefan; Klöfkorn, Robert; Ohlberger, Mario Efficient parallel simulation of atherosclerotic plaque formation using higher order discontinuous Galerkin schemes. (English) Zbl 1326.92035 Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Cham: Springer (ISBN 978-3-319-05590-9/hbk; 978-3-319-05591-6/ebook; 978-3-319-06402-4/set). Springer Proceedings in Mathematics & Statistics 78, 617-625 (2014). MSC: 92C50 65M60 65Y05 PDFBibTeX XMLCite \textit{S. Girke} et al., Springer Proc. Math. Stat. 78, 617--625 (2014; Zbl 1326.92035) Full Text: DOI arXiv
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
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
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
Klöfkorn, Robert; Kröner, Dietmar; Ohlberger, Mario Local adaptive methods for convection dominated problems. (English) Zbl 1058.76576 Int. J. Numer. Methods Fluids 40, No. 1-2, 79-91 (2002). MSC: 76M12 76R99 76Z99 PDFBibTeX XMLCite \textit{R. Klöfkorn} et al., Int. J. Numer. Methods Fluids 40, No. 1--2, 79--91 (2002; Zbl 1058.76576) Full Text: DOI