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:

Error control for hp -adaptive approximations of semi-definite eigenvalue problems.

Giani, S. and Grubišić, L. and Ovall, J. (2013) 'Error control for hp -adaptive approximations of semi-definite eigenvalue problems.', Computing., 95 (1). pp. 235-257.

Abstract

We present reliable TeX-posteriori error estimates for TeX-adaptive finite element approximations of semi-definite eigenvalue/eigenvector problems. Our model problems are motivated by applications in photonic crystal eigenvalue computations. We present detailed numerical experiments confirming our theory and give several benchmark results which could serve the purpose of numerical testing of other adaptive procedures.

Item Type:Article
Keywords:Eigenvalue problem, Finite element method, A posteriori error estimates, Primary 65N30, Secondary 65N25, 65N15.
Full text:(AM) Accepted Manuscript
Download PDF
(740Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/s00607-012-0260-6
Publisher statement:The final publication is available at Springer via http://dx.doi.org/10.1007/s00607-012-0260-6.
Record Created:20 Apr 2015 09:35
Last Modified:20 Apr 2015 10:42

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