PAUL HOUSTON PAUL.HOUSTON@NOTTINGHAM.AC.UK
Professor of Computational and Applied Maths
A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems
Houston, Paul; Suli, Endre; Wihler, Thomas P.
Authors
Endre Suli
Thomas P. Wihler
Abstract
We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite element methods for a class of second-order quasilinear elliptic partial differential equations. Computable upper and lower bounds on the error are derived in terms of a natural (mesh-dependent) energy norm. The bounds are explicit in the local mesh size and the local degree of the approximating polynomial. The performance of the proposed estimators within an automatic hp-adaptive refinement procedure is studied through numerical experiments.
Citation
Houston, P., Suli, E., & Wihler, T. P. (2006). A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems
Journal Article Type | Article |
---|---|
Publication Date | Jan 1, 2006 |
Deposit Date | Sep 8, 2006 |
Publicly Available Date | Oct 9, 2007 |
Peer Reviewed | Not Peer Reviewed |
Keywords | hp-adaptivity, a-posteriori error analysis, discontinuous Galerkin finite elemenet methods, quasilinear elliptic PDEs |
Public URL | https://nottingham-repository.worktribe.com/output/1019115 |
Files
hsw_imajna_06.pdf
(512 Kb)
PDF
You might also like
Linearization of the Travel Time Functional in Porous Media Flows
(2022)
Journal Article
Gibbs phenomena for Lq-best approximation in finite element spaces
(2022)
Journal Article
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: digital-library-support@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search