ACCURACY AND OPTIMAL MESHES IN FINITE-ELEMENT COMPUTATION FOR NEARLY INCOMPRESSIBLE MATERIALS

This paper deals with a method which allows us, on the one hand, to control the quality of a finite element calculation, and on the other hand, to optimize the choice of meshes for incompressible or nearly incompressible elastic problems. This general method enables us to compute a posteriori errors which are based (i) on the concept of error in constitutive relation and (ii) on explicit construction techniques of admissible fields. A large application field has been presented in domains such as elasticity, elastoplasticity, vibrations and finite strains. Here, the method is presented for incompressible material elastic problem discretized by Herrmann's mixed formulation.