TY - JOUR T1 - Nonconforming Finite Element Method for the Transmission Eigenvalue Problem AU - Ji , Xia AU - Xi , Yingxia AU - Xie , Hehu JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 92 EP - 103 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2015.m1295 UR - https://global-sci.org/intro/article_detail/aamm/12138.html KW - Transmission eigenvalue, Morley element, nonconforming finite element method. AB -

In this paper, we analyze a nonconforming finite element method for the computation of transmission eigenvalues and the corresponding eigenfunctions. The error estimates of the eigenvalue and eigenfunction approximation are given, respectively. Finally, some numerical examples are provided to validate the theoretical results.