16 May 2002
Dr Victor Pereyra
In the past few years we have developed some expertise in solving optimization problems that involve large scale simulations in various areas of Computational Geophysics and Engineering. We will discuss some of those applications here, namely: inversion of seismic data, characterization of piezoelectrical crystals material properties, optimal design of piezoelectrical transducers and opto-electronic devices, and the optimal design of steel structures. \\ \\ A common theme among these different applications is that the goal functional is very expensive to evaluate, often, no derivatives are readily available, and some times the dimensionality can be large. \\ \\ Thus parallelism is a need, and when no derivatives are present, search type methods have to be used for the optimization part. Additional difficulties can be ill-conditioning and non-convexity, that leads to issues of global optimization. Another area that has not been extensively explored in numerical optimization and that is important in real applications is that of multiobjective optimization. \\ \\ As a result of these varied experiences we are currently designing a toolbox to facilitate the rapid deployment of these techniques to other areas of application with a minimum of retooling.
- Computational Mathematics and Applications Seminar