C0IP Methods for the Transmission Eigenvalue Problem
Document Type
Article
Publication Date
7-2016
Department
Department of Mathematical Sciences
Abstract
We consider a non-selfadjoint fourth order eigenvalue problem using a discontinuous Galerkin (DG) method. For high order problems, DG methods are competitive since they use simple basis functions and have less degrees of freedom. The numerical implementation is much easier compared with classical conforming finite element methods. In this paper, we propose an interior penalty discontinuous Galerkin method using C0 Lagrange elements (C0IP) for the transmission eigenvalue problem and prove the optimal convergence. The method is applied to several examples and its effectiveness is validated.
Publication Title
Journal of Scientific Computing
Recommended Citation
Geng, H.,
Ji, X.,
Sun, J.,
&
Xu, L.
(2016).
C0IP Methods for the Transmission Eigenvalue Problem.
Journal of Scientific Computing,
68(1), 326-338.
http://doi.org/10.1007/s10915-015-0140-2
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4951