Towards a Rigorous Formulation of the Space Mapping Technique for Engineering Design

This paper deals with the Space Mapping (SM) approach to engineering design optimization. We attempt here a theoretical justification of methods that have already proven efficient in solving practical problems, especially in the RF and microwave area. A formal definition of optimization algorithms using surrogate models based on SM technology is given.

Convergence conditions for the chosen subclass of algorithms are discussed and explained using a synthetic example, the so-called generalized cheese-cutting problem. An illustrative, circuit-theory based example is also considered.