Space mapping optimization algorithms for engineering design

A simple, efficient optimization algorithm based on space mapping (SM) is presented. It utilizes input SM to reduce the misalignment between the coarse and fine models of the optimized object over a region of interest, and output space mapping (OSM) to ensure matching of response and first-order derivatives between the mapped coarse model and the fine model at the current iteration point.

We also consider an enhanced version in which the input SM coefficients are frequency dependent. The performance of our new algorithms is comparable with the recently published SMIS algorithm when applied to a benchmark problem. In comparison with SMIS, the models presented are simple and have a small number of parameters that need to be extracted.

The new algorithm is applied to the optimization of coupled-line band-pass filter.