Solving elliptic eigenproblems with adaptive multimesh hp-FEM

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:394

Article

Giani, Stefano¹  Solin, Pavel² 

[1] Univ Durham, Dept Engn, South Rd, Durham DH1 3LE, England

[2] Univ Nevada, Dept Math & Stat, Reno, NV USA

关键词: Eigenproblem;    Automatic adaptivity;    Higher-order finite element method;    Multimesh hp-FEM;   

DOI  :  10.1016/j.cam.2021.113528

来源: Elsevier

【 摘 要 】

This paper proposes a novel adaptive higher-order finite element (hp-FEM) method for solving elliptic eigenvalue problems, where n eigenpairs are calculated simultaneously, but on individual higher-order finite element meshes. The meshes are automatically hp-refined 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 finite element mesh. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free