C0 interior penalty galerkin method for biharmonic eigenvalue problems
Document Type
Conference Proceeding
Publication Date
2015
Department
Department of Mathematical Sciences
Abstract
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
ISBN
978-3-319-19800-2
Recommended Citation
Brenner, S.,
Monk, P.,
&
Sun, J.
(2015).
C0 interior penalty galerkin method for biharmonic eigenvalue problems.
Lecture Notes in Computational Science and Engineering,
106, 3-15.
http://doi.org/10.1007/978-3-319-19800-2_1
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4082