@Article{CiCP-28-4,
author = {Yidu, Yang and Jiayu, Han and Hai, Bi},
title = {$H^2$-Conforming Methods and Two-Grid Discretizations for the Elastic Transmission Eigenvalue Problem},
journal = {Communications in Computational Physics},
year = {2020},
volume = {28},
number = {4},
pages = {1366--1388},
abstract = {<p style="text-align: justify;">The elastic transmission eigenvalue problem has important applications in
the inverse elastic scattering theory. Recently, the numerical computation for this problem has attracted the attention of the researchers. In this paper, we propose the $H^2$-conforming methods including the classical <span style="text-align: justify;">$H^2$-</span>conforming finite element method and
the spectral element method, and establish the two-grid discretization scheme. Theoretical analysis and numerical experiments show that the methods presented in this
paper can efficiently compute real and complex elastic transmission eigenvalues.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0171},
url = {https://global-sci.com/article/79724/h2-conforming-methods-and-two-grid-discretizations-for-the-elastic-transmission-eigenvalue-problem}
}