TY - JOUR
T1 - A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem
AU - Xi , Yingxia
AU - Ji , Xia
AU - Zhang , Shuo
JO - Communications in Computational Physics
VL - 4
SP - 1061
EP - 1082
PY - 2021
DA - 2021/08
SN - 30
DO - http://doi.org/10.4208/cicp.OA-2020-0260
UR - https://global-sci.org/intro/article_detail/cicp/19394.html
KW - Elastic transmission eigenvalue problem, nonconforming finite element method, high accuracy
AB - <p style="text-align: justify;">The paper presents a finite element scheme for the elastic transmission eigenvalue problem written as a fourth order eigenvalue problem. The scheme uses piecewise cubic polynomials and obtains optimal convergence rate. Compared with other
low-degree and nonconforming finite element schemes, the scheme inherits the continuous bilinear form which does not need extra stabilizations and is thus simple to
implement.</p>