A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems

Tools

Houston, Paul, Suli, Endre and Wihler, Thomas P. (2006) A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems.

Full text not available from this repository.

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.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/1019115
Keywords: hp-adaptivity, a-posteriori error analysis, discontinuous Galerkin finite elemenet methods, quasilinear elliptic PDEs
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Depositing User: Houston, Paul
Date Deposited: 08 Sep 2006
Last Modified: 04 May 2020 20:29
URI: https://eprints.nottingham.ac.uk/id/eprint/413

Actions (Archive Staff Only)

Edit View Edit View