C⁰ interior penalty galerkin method for biharmonic eigenvalue problems

Authors

Susanne C. Brenner, Louisiana State University
Peter Monk, University of Delaware
Jiguang Sun, Michigan Technological University

Document Type

Conference Proceeding

Publication Date

1-1-2015

Abstract

We consider the C 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 C finite element method, the Ciarlet-Raviart mixed finite element method, and the Morley nonconforming finite element method. 0 1

Publication Source (Journal or Book title)

Lecture Notes in Computational Science and Engineering

First Page

3

Last Page

15

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. https://doi.org/10.1007/978-3-319-19800-2_1