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 -

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.