TY - JOUR
T1 - Local and Parallel Finite Element Schemes for the Elastic Transmission Eigenvalue Problem
AU - Bi , Hai
AU - Han , Jiayu
AU - Yang , Yidu
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 829
EP - 858
PY - 2021
DA - 2021/08
SN - 11
DO - http://doi.org/10.4208/eajam.270720.030621
UR - https://global-sci.org/intro/article_detail/eajam/19374.html
KW - Elastic transmission eigenvalue problem, local a priori error estimate, local and parallel
scheme, local defect correction.
AB - <p style="text-align: justify;">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.<br/></p>