## Abstract Quadrilateral finite elements are generally constructed by starting from a given finite dimensional space of polynomials __VΜ__ on the unit reference square __KΜ__. The elements of __VΜ__ are then transformed by using the bilinear isomorphisms __F__~__K__~ which map __KΜ__ to each conve
Mesh enrichment against mesh regeneration using quadrilateral elements
β Scribed by Zhu, J. Z. ;Hinton, E. ;Zienkiewicz, O. C.
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 454 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1069-8299
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β¦ Synopsis
An adaptive refinement procedure using a new automatic quadrilateral element mesh generator is presented. The performance of the adaptive procedure in achieving a given accuracy with different mesh refinement strategies is compared. It is found that when using bilinear or biquadratic quadrilateral elements refinement strategies of both mesh enrichment and mesh regeneration can lead to a prescribed accuracy being achieved by the Zienkiewicz-Zhu adaptive procedure with the optimal rate of convergence. However, fewer mesh refinement steps are needed if the strategy of mesh regeneration is employed with the newly developed automatic quadrilateral element mesh generator.
π SIMILAR VOLUMES
## Abstract This paper is aimed at presenting a simple yet effective procedure to implement a meshβindependent __p__βorthotropic enrichment in the generalized finite element method. The procedure is based on the observation that shape functions used in the GFEM can be constructed from polynomials d
An automatic adaptive refinement procedure for finite element analysis for two-dimensional stress analysis problems is presented. Through the combined use of the new mesh generator developed by the authors (to appear) for adaptive mesh generation and the Zienkiewicz-Zhu [Int. J. numer. Meth. Engng 3