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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.


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.
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Publisher statement:© 2021 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
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

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