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 iterative adaptive hp-FEM method for non-symmetric elliptic eigenvalue problems.

Solin, P. and Giani, S. (2013) 'An iterative adaptive hp-FEM method for non-symmetric elliptic eigenvalue problems.', Computing., 95 (1 Supplement). S183-S213.

Abstract

We present a novel adaptive higher-order finite element (hp-FEM) algorithm to solve non-symmetric elliptic eigenvalue problems. This is an extension of our prior work on symmetric elliptic eigenvalue problems. The method only needs to make one call to a generalized eigensolver on the coarse mesh, and then it employs Newton’s or Picard’s methods to resolve adaptively a selected eigenvalue–eigenvector pair. The fact that the method does not need to make repeated calls to a generalized eigensolver not only makes it very efficient, but it also eliminates problems that pose great complications to adaptive algorithms, such as eigenvalue reordering or returning arbitrary linear combinations of eigenvectors associated with the same eigenvalue. New theoretical and numerical results for the non-symmetric case are presented.

Item Type:Article
Keywords:Partial differential equation, Non-symmetric eigenvalue problem, Iterative method, Adaptive higher-order finite element method, hp-FEM.
Full text:(AM) Accepted Manuscript
Download PDF
(420Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/s00607-012-0251-7
Publisher statement:The final publication is available at Springer via http://dx.doi.org/10.1007/s00607-012-0251-7
Record Created:12 Oct 2015 11:05
Last Modified:13 Oct 2015 14:53

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