C < sup> 0 IP Methods for the Transmission Eigenvalue Problem
© 2015, Springer Science+Business Media New York. 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.
Journal of Scientific Computing
C < sup> 0 IP Methods for the Transmission Eigenvalue Problem.
Journal of Scientific Computing,
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