Introduction to the space mapping

Abstract

The Space Mapping technique is intended for optimization of engineering models which involve very expensive function evaluations. We use two different models of the same physical system: Besides the CPU-intensive model of primary interest (denoted the fine model), access to a less expensive (coarse) model is assumed which may be less accurate. The main idea of the Space Mapping technique is to use the coarse model to gain information about the fine model, and to apply this in the search for an optimal solution of the latter. Thus the technique iteratively establishes a mapping between the parameters of the two models which relate similar model responses. Having this mapping, most of the model evaluations can be directed to the fast coarse model. In this talk the idea behind the method is presented. Mathematical descriptions and motivations are given, and two examples are presented as illustrations. Conditions for convergence of Space Mapping methods are discussed.