Skip to main content

Research Repository

Advanced Search

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

PAUL HOUSTON paul.houston@nottingham.ac.uk
Professor of Computational and Applied Maths

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Peer Reviewed Not Peer Reviewed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 http://eprints.nottingham.ac.uk/id/eprint/413
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

Files


hsw_imajna_06.pdf (512 Kb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





You might also like



Downloadable Citations