This work deals with the control of the hypotheses leading from a mechanical model, usually coming from continuum mechanics, to a numerical model, i.r. the mastery of the mechanical computation process itself. Particular attention is given to structural analysis which, in this context, is the most advanced domain.

A significant part of this work is dedicated to the application of error estimators to the control of the various parameters involved in a calculation, beginning with the parameters related to the mesh.

Inhalt
The notion of quality of a finite element solution.- The constitutive relation error method for linear problems.- Other methods for linear problems.- Principles of the comparison of the various estimators in the linear case.- Mesh adaptation for linear problems.- The constitutive relation error method for nonlinear evolution problems.- The constitutive relation error method in dynamics.- Techniques for constructing admissible fields.- Estimation of local errors.