Journal article
Some mixed finite element methods for biharmonic equation
Journal of computational and applied mathematics, Vol.126(1), pp.91-109
2000
DOI: 10.1016/S0377-0427(99)00342-8
Abstract
Some perturbed mixed finite element methods related to the reduced integration technique are considered for solving the biharmonic equation problem. On a rectangular mesh, a similar scheme was proposed in Malkus and Hughes (Comput. Methods Appl. Mech. Eng. 15 (1978) 63–81) and its convergence was analyzed in Johnson and Pitkäranta (Math. Comp. 38 (1982) 375–400). Here we modify the scheme proposed in Malkus and Hughes (1978) and prove the optimal order error estimate without the extra smoothness assumption on the solution made in Johnson and Pitkäranta (1982). On a triangular mesh, an analogous scheme is studied, and an order error estimate is proved. Some numerical results are given to show the convergence behavior of the numerical solutions.
Details
- Title: Subtitle
- Some mixed finite element methods for biharmonic equation
- Creators
- Xiao-liang Cheng - Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong, People's Republic of ChinaWeimin Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USAHong-ci Huang - Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong, People's Republic of China
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.126(1), pp.91-109
- DOI
- 10.1016/S0377-0427(99)00342-8
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 2000
- Academic Unit
- Mathematics
- Record Identifier
- 9983985708502771
Metrics
26 Record Views