hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows

Congreve, Scott and Houston, Paul and Wihler, Thomas P. (2013) hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. In: Numerical Mathematics and Advanced Applications, ENUMATH 2011, 5-9 September 2011, Leicester, UK.

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Abstract

We develop the a posteriori error analysis, with respect to a mesh-dependent energy norm, of two-grid hp-version discontinuous Galerkin finite element methods for quasi-Newtonian flows. The performance of the proposed estimators within an hp-adaptive refinement procedure is studied through a numerical experiment.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Published in: Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011 /Andrea Cangiani ... [et al.], editors. Berlin : Springer, 2013. ISBN 9783642331336. pp. 341-349. doi: 10.1007/978-3-642-33134-3_37
Keywords: posteriori error analysis, discontinuous Galerkin methods, quasi-Newtonian flows
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Houston, Paul
Date Deposited: 26 Aug 2015 11:07
Last Modified: 18 Sep 2016 08:15
URI: http://eprints.nottingham.ac.uk/id/eprint/29679

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