EDF - Thesis

This Ph.D. thesis is part of some recent works regarding the complementarity between the Semantic Web and the Web 2.0, two visions of the Web that have often been considered, wrongly, as disjoints

For linear problems, various methods exist to estimatethe quality of the finite element solution. They generally lead to estimate a norm ofthe global error. But the choice of a global precision founded on a norm of the displacement isoften complex because there is no quantitative direct link with an error on localmechanical quantities (called quantities of interest) having an interest for the engineer. Theobjective of this work is to develop and implement in Code_Aster a method of errorestimation in quantity of interest for the industrial structural analysis.

This manuscript deals with large-scale non-smooth optimization that may typically arise when performing Lagrangian relaxation of difficult problems.