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A Zienkiewicz-type finite element applied to fourth-order problems
- Source :
-
Journal of Computational & Applied Mathematics . Nov2010, Vol. 235 Issue 2, p348-357. 10p. - Publication Year :
- 2010
-
Abstract
- Abstract: This paper deals with convergence analysis and applications of a Zienkiewicz-type (Z-type) triangular element, applied to fourth-order partial differential equations. For the biharmonic problem we prove the order of convergence by comparison to a suitable modified Hermite triangular finite element. This method is more natural and it could be applied to the corresponding fourth-order eigenvalue problem. We also propose a simple postprocessing method which improves the order of convergence of finite element eigenpairs. Thus, an a posteriori analysis is presented by means of different triangular elements. Some computational aspects are discussed and numerical examples are given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 235
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 53050417
- Full Text :
- https://doi.org/10.1016/j.cam.2010.05.037