Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration

Congreve, Scott and Houston, Paul (2013) Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration. In: Proceedings of the Eighth International Conference on Scientific Computing and Applications, 1-4 April 2012, Las Vegas, USA.

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Abstract

In this paper we propose a class of so-called two-grid hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem based on the application of a single step of a nonlinear Newton solver. We present both the a priori and a posteriori error analysis of this two-grid hp-version DGFEM as well as performing numerical experiments to validate the bounds.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Published in: Recent advances in scientific computing and applications: Eighth International Conference on Scientific Computing and Applications, April 1-4, 2012, University of Nevada, Las Vegas, Nevada / Jichun Li, Hongtao Yang, Eric Machorro, editors. Providence, Rhode Island: American Mathematical Society, 2013. ISBN 9780821887370. doi: 10.1090/conm/586/11629
Keywords: discontinuous Galerkin methods, two-grid finite element methods
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Houston, Paul
Date Deposited: 26 Aug 2015 11:22
Last Modified: 19 Sep 2016 15:08
URI: http://eprints.nottingham.ac.uk/id/eprint/29681

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