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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 scott.congreve@univie.ac.at

Paul Houston Paul.Houston@nottingham.ac.uk

Thomas P. Wihler wihler@math.unibe.ch



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.

Publication Date Jan 1, 2013
Peer Reviewed Peer Reviewed
APA6 Citation Congreve, S., Houston, P., & Wihler, T. P. (2013). hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows
Keywords posteriori error analysis, discontinuous Galerkin methods, quasi-Newtonian flows
Publisher URL http://link.springer.com/chapter/10.1007/978-3-642-33134-3_37
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
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
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