@ARTICLE\{IMM2006-04716,
    author       = "S. Koziel and J. W. Bandler and K. Madsen",
    title        = "A space-mapping framework for engineering optimization.",
    year         = "2006",
    keywords     = "Computer-aided design (CAD), space mapping optimization, design automation",
    pages        = "3721-3730",
    journal      = "Microwave Theory and Techniques, {IEEE} Transactions on",
    volume       = "54",
    editor       = "",
    number       = "10",
    publisher    = "",
    url          = "http://www2.compute.dtu.dk/pubdb/pubs/4716-full.html",
    abstract     = "This paper presents a comprehensive approach to
engineering design optimization exploiting space mapping. The
algorithms employ input space mapping and a new
generalization of implicit space mapping to minimize the
misalignment between the coarse and fine models of the
optimized object over a region of interest. Output space mapping
ensures the matching of responses and first-order derivatives
between the mapped coarse model and the fine model at the
current iteration point in the optimization process. We provide
theoretical results that show the importance of the explicit use of
sensitivity information to the convergence properties of our
family of algorithms. Our algorithm is demonstrated on the
optimization of a microstrip band-pass filter, a band-pass filter
with double-coupled resonators and a seven-section impedance
transformer. We describe the novel user-oriented software
package {SMF} that implements the new family of space mapping
optimization algorithms."
}