## Abstract We study the accuracy and reliability of the lowestβorder bilinear shell finite element schemes. Our approach is based mainly on a simplified shallow shell model analogous to the ReissnerβMindlin model of plate bending. The numerical models are constructed by modifying the strain expres
On superconvergence of isoparametric bilinear finite elements
β Scribed by Zhang, Lin ;Li, Likang
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 528 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1069-8299
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper the superconvergence property of isoparametric bilinear finite elements is considered. A new superconvergence recovery method for isoparametric bilinear finite elements is discovered on the four vertices and the four midpoints of the edges of the elements for piecewise strongly regular quadrilateral subdivisions.
π SIMILAR VOLUMES
Mathematical proofs are presented for the derivative superconvergence obtained by a class of patch recovery techniques for both linear and bilinear finite elements in the approximation of second-order elliptic problems.
## Abstract The development of a generalized quadrilateral finite element that includes a singular point at a corner node is presented. Interβelement conformability is maintained so that monotone convergence is preserved. The globalβlocal concept of finite elements is used to formulate the complete