Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems.

Giani, S. and Hall, E. (2012) 'An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems.', Mathematical models and methods in applied sciences., 22 (10). p. 1250030.

Abstract

In this paper we present a residual-based a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems. In particular, we use as a model problem the Laplace eigenvalue problem on bounded domains in ℝd, d = 2, 3, with homogeneous Dirichlet boundary conditions. Analogous error estimators can be easily obtained for more complicated elliptic eigenvalue problems. We prove the reliability and efficiency of the residual-based error estimator also for non-convex domains and use numerical experiments to show that, under an hp-adaptation strategy driven by the error estimator, exponential convergence can be achieved, even for non-smooth eigenfunctions.

Item Type:Article
Keywords:Discontinuous Galerkin methods, Elliptic eigenvalue problems, a posteriori error estimation, hp-adaptivity.
Full text:(AM) Accepted Manuscript
Download PDF
(382Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1142/S0218202512500303
Publisher statement:Electronic version of an article published as Mathematical models and methods in applied sciences, 22, 10, 2012, 1250030, DOI: 10.1142/S0218202512500303 © copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/m3as
Record Created:20 Apr 2015 12:05
Last Modified:20 Apr 2015 13:48

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Look up in GoogleScholar | Find in a UK Library