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.
|Full text:||(AM) Accepted Manuscript|
Available under License - Creative Commons Attribution Non-commercial No Derivatives 4.0.
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|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|
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