Sensitivity analysis, optimisation, and sampling methods applied to continuous models.

This report describes the initial stages of work for the Software Support for Metrology programme project Tools for Continuous Modelling and Simulation. The aims of the project are to improve the understanding and use of continuous modelling packages and to build the confidence of model users in the quality of their results. We introduce the study of sensitivity analysis, optimisation, and sampling methods applied to nite element models. A key problem affecting the application of such techniques to continuous models and black box software is how to gain the most accurate information on the performance and sensitivity of the modelled system using the least amount of computational effort. Three small finite element models were developed that cover a range of physical problems, complexities and interactions between model parameters. The models are introduced and we explain the mathematical background to the methods that were applied to analyse the problems, and summarise our main conclusions and recommendations.