Scott Congreve
Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration
Congreve, Scott; Houston, Paul
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.
Citation
Congreve, S., & Houston, P. (2013). Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration.
Conference Name | Proceedings of the Eighth International Conference on Scientific Computing and Applications |
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End Date | Apr 4, 2012 |
Publication Date | Jan 1, 2013 |
Deposit Date | Aug 26, 2015 |
Publicly Available Date | Aug 26, 2015 |
Peer Reviewed | Peer Reviewed |
Keywords | discontinuous Galerkin methods, two-grid finite element methods |
Public URL | https://nottingham-repository.worktribe.com/output/1003747 |
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 |
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