Solving Elliptic Eigenproblems with Adaptive Multimesh hp-FEM

Giani, S.; Solin, P.

doi:10.1016/j.cam.2021.113528

Solving Elliptic Eigenproblems with Adaptive Multimesh hp-FEM

Giani, S.; Solin, P.

Authors

Dr Stefano Giani stefano.giani@durham.ac.uk
Associate Professor

P. Solin

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.

Citation

Giani, S., & Solin, P. (2021). Solving Elliptic Eigenproblems with Adaptive Multimesh hp-FEM. Journal of Computational and Applied Mathematics, 394, Article 113528. https://doi.org/10.1016/j.cam.2021.113528

Journal Article Type	Article
Acceptance Date	Feb 24, 2021
Online Publication Date	Mar 13, 2021
Publication Date	Oct 1, 2021
Deposit Date	Feb 25, 2021
Publicly Available Date	Mar 13, 2022
Journal	Journal of Computational and Applied Mathematics
Print ISSN	0377-0427
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	394
Article Number	113528
DOI	https://doi.org/10.1016/j.cam.2021.113528

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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/

Copyright 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/