Back to Search
Start Over
A Mixed Finite Element Method for the Biharmonic Problem Using Biorthogonal or Quasi-Biorthogonal Systems
- Source :
- Journal of Scientific Computing. 46:379-396
- Publication Year :
- 2010
- Publisher :
- Springer Science and Business Media LLC, 2010.
-
Abstract
- We consider a finite element method based on biorthogonal or quasi-biorthogonal systems for the biharmonic problem. The method is based on the primal mixed finite element method due to Ciarlet and Raviart for the biharmonic equation. Using different finite element spaces for the stream function and vorticity, this approach leads to a formulation only based on the stream function. We prove optimal a priori estimates for both stream function and vorticity, and present numerical results to demonstrate the efficiency of the approach.
- Subjects :
- Numerical Analysis
Applied Mathematics
Mathematical analysis
General Engineering
Mixed finite element method
Vorticity
Finite element method
Theoretical Computer Science
Computational Mathematics
Nonlinear system
Computational Theory and Mathematics
Biorthogonal system
Stream function
Biharmonic equation
Software
Mathematics
Extended finite element method
Subjects
Details
- ISSN :
- 15737691 and 08857474
- Volume :
- 46
- Database :
- OpenAIRE
- Journal :
- Journal of Scientific Computing
- Accession number :
- edsair.doi...........6e6ca5d24efa63b98dd10011804b22ed