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:

Solving Elliptic Eigenproblems with Adaptive Multimesh hp-FEM

Giani, S. and Solin, P. (2021) 'Solving Elliptic Eigenproblems with Adaptive Multimesh hp-FEM.', Journal of computational and applied mathematics., 394 . p. 113528.

Abstract

This paper proposes a novel adaptive higher-order nite element (hp-FEM) method for solving elliptic eigenvalue problems, where n eigenpairs are calculated simultaneously, but on individual higher-order nite element meshes. The meshes are automatically hp-rened independently of each other, with the goal to use an optimal mesh sequence for each eigenfunction. The method and the adaptive algorithm are described in detail. Numerical examples clearly demonstrate the superiority of the novel method over the standard approach where all eigenfunctions are approximated on the same nite element mesh.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives 4.0.
Download PDF
(1154Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1016/j.cam.2021.113528
Publisher statement:© 2021 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Date accepted:24 February 2021
Date deposited:26 February 2021
Date of first online publication:13 March 2021
Date first made open access:13 March 2022

Save or Share this output

Export:
Export
Look up in GoogleScholar