Adaptive methods and related issues from the viewpoint of hybrid equilibrium finite element models

O. J. B. Almeida Pereira, J. P. Moitinho de Almeida and E. A. W. Maunder

Abstract

This paper presents some recent results on the development of adaptive procedures for finite element formulations locally enforcing the equilibrium conditions. The topics covered include the control of spurious kinematic modes, solution techniques, the definition of compatibility defaults, the derivation of compatible displacement fields and possible error estimators and indicators.

These procedures are illustrated with a simple example in 2D elastostatics.