C < sup> 0 interior penalty galerkin method for biharmonic eigenvalue problems

Document Type

Conference Proceeding

Publication Date



© Springer International Publishing Switzerland 2015. We consider the C0 interior penalty Galerkin method for biharmonic eigenvalue problems with the boundary conditions of the clamped plate, the simply supported plate and the Cahn-Hilliard type. We establish the convergence of the method and present numerical results to illustrate its performance. We also compare it with the Argyris C1 finite element method, the Ciarlet-Raviart mixed finite element method, and the Morley nonconforming finite element method.

Publication Title

Lecture Notes in Computational Science and Engineering