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

Congreve, Scott; Houston, Paul; Wihler, Thomas P.

Authors

Scott Congreve

PAUL HOUSTON PAUL.HOUSTON@NOTTINGHAM.AC.UK
Professor of Computational and Applied Maths

Thomas P. Wihler



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.

Citation

Congreve, S., Houston, P., & Wihler, T. P. (2013). hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows.

Conference Name Numerical Mathematics and Advanced Applications, ENUMATH 2011
End Date Sep 9, 2011
Publication Date Jan 1, 2013
Deposit Date Aug 26, 2015
Peer Reviewed Peer Reviewed
Keywords posteriori error analysis, discontinuous Galerkin methods, quasi-Newtonian flows
Public URL https://nottingham-repository.worktribe.com/output/1003762
Publisher URL http://link.springer.com/chapter/10.1007/978-3-642-33134-3_37
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