Year: 2021
Author: Hai Bi, Jiayu Han, Yidu Yang
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 829–858
Abstract
Local and parallel finite element computations for the elastic transmission
eigenvalue problem are studied in this paper. After deriving the local a priori error estimates for finite element approximations of the problem, we establish local and parallel
finite element schemes, which include classical conforming finite elements and spectral elements for the problem with local low smooth eigenfunctions. The errors of the
method are analysed and numerical examples show the efficiency of the schemes.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.270720.030621
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 829–858
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Elastic transmission eigenvalue problem local a priori error estimate local and parallel scheme local defect correction.
Author Details
-
The Finite Element Method for the Elastic Transmission Eigenvalue Problem with Different Elastic Tensors
Yang, Yidu | Wang, Shixi | Bi, HaiJournal of Scientific Computing, Vol. 93 (2022), Iss. 3
https://doi.org/10.1007/s10915-022-02030-3 [Citations: 4] -
An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities
Wang, Shixi | Bi, Hai | Yang, YiduAdvances in Computational Mathematics, Vol. 50 (2024), Iss. 1
https://doi.org/10.1007/s10444-023-10099-z [Citations: 0]