Back to Search
Start Over
A new mixed method for the biharmonic eigenvalue problem.
- Source :
-
Computers & Mathematics with Applications . Apr2023, Vol. 136, p44-53. 10p. - Publication Year :
- 2023
-
Abstract
- In this paper, we investigate a new mixed method proposed by Rafetseder and Zulehner for Kirchhoff plates and apply it to fourth order eigenvalue problems. Using two auxiliary variables this new mixed method makes it possible to require only H 1 regularity for the displacement and the auxiliary variables, without the demand of a convex domain. We provide a direct comparison, specifically in view of convergence orders, to the C 0 -IPG method and Ciarlet-Raviart's mixed method of vibration problems with the boundary conditions of the clamped plate and the simply supported plate. The numerical experiments are done with the open-source finite element library deal.II and include the implementation of the coupling of finite elements with elements on the boundary to incorporate non-trivial boundary conditions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EIGENVALUES
*BIHARMONIC equations
*CONVEX domains
Subjects
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 136
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 162636289
- Full Text :
- https://doi.org/10.1016/j.camwa.2023.01.038