High order FE derivatives versus geometric parameters. Implantation on an existing code

In this paper we present the design of a high order sensitivity analysis th at is realised in an existing large FE code. We are interested hereby in th e implantation in that respect as much as possible of the original PE progr am structure and the existing classical tools. The goal is then to obtain t he Taylor's development of solution (and of all basic entities) that report s to the sensitivity parameters. The mesh,derivation module and the paramet rized FE solving stage are the two main design steps here. Many tools have been introduced for accelerating the expensive parametrized calculus. Once the parametrized solution is established, the rapidity of its evaluati on could increase the utility of FE analysis and allows to realise some new applications. For one of those possibilities, we propose here a procedure that will allow us to define the device equivalent model from the results o f parametrized analysis.