## Abstract Quadrilateral finite elements are generally constructed by starting from a given finite dimensional space of polynomials __Vฬ__ on the unit reference square __Kฬ__. The elements of __Vฬ__ are then transformed by using the bilinear isomorphisms __F__~__K__~ which map __Kฬ__ to each conve
Composite mixed finite elements on plane quadrilaterals
โ Scribed by A. Bendali; N. Lahmar
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 439 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
โฆ Synopsis
Mixed finite elements over a plane convex quadrilateral are obtained by assembling two Raviart-Thomas mixed finite elements over triangles. The macroelement is given by an eliminating procedure of the degrees of freedom related to the common edge to the two triangles. This procedure results in a finite element with a space of interpolating functions containing the polynomials of degree 5 I , where 1 is the greater integer for which the same property is satisfied by the relevant Raviart-
๐ SIMILAR VOLUMES
## Abstract Studies of the convergence and performance of the mixed finite element method in plane elasticity are reported. A completeness criterion is proposed, and convergence rates for stresses and strain energy, as predicted elsewhere, are quoted. An eigenvalue analysis of the mixed element mat
The aim of the study is: "rst\*to show that the "nite element method for plane bending is not sensitive to the distorted geometry of isoparametric quadrilateral elements, second\*to close out further investigations on irregular elements based on Wilson incompatible functions employing ad hoc methods
A formulation for ยฎnite element plane strain limit analysis of rigidly perfectly plastic solids governed by von Mises' plasticity condition is presented. The approach is based on the kinematic theorem of limit analysis formulated as a minimum problem for a convex and non-smooth dissipation functiona