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

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

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. hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. Presented at Numerical Mathematics and Advanced Applications, ENUMATH 2011

• 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