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

Abstract

In this paper, the authors present the design of a high order sensitivity analysis that is realised in an existing large FE code. They are interested in the implantation in that respect as much as possible of the original FE program structure and the existing classical tools. The goal is then to obtain the Taylor's development of solution (and of all basic entities) that reports to the sensitivity parameters. The mesh derivation module and the parametrized 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 evaluation could increase the utility of FE analysis and allows to realise some new applications. For one of those possibilities, they propose here a procedure that will allow one to define the device equivalent model from the results of parametrized analysis.