An Introduction to the Space Mapping Technique

AbstractThe space mapping technique is intended for optimization of engineering models which involve very expensive function
evaluations. It is assumed that two different models of the same physical system are available: Besides the expensive
model of primary interest (denoted the fine model), access to a cheaper (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 many cases this technique quickly provides an approximate optimal solution to the fine model that is sufficiently
accurate for engineering purposes. Thus the space mapping technique may be considered a preprocessing technique that perhaps must be succeeded by use of classical optimization techniques. We present an automatic scheme which
integrates the space mapping and classical techniques.
Keywordsnon-linear optimization, space mapping, surrogate modelling
TypeJournal paper [With referee]
JournalOptimization and Engineering
Year2001    Month December    Vol. 2    No. 4    pp. 369-384
BibTeX data [bibtex]
IMM Group(s)Scientific Computing