@ARTICLE\{IMM2006-04733,
    author       = "S. Koziel and J. W. Bandler and K. Madsen",
    title        = "Theoretical justification of space-mapping-based modeling utilizing a database and on-demand parameter extraction.",
    year         = "2006",
    keywords     = "Computer-aided design (CAD), {EM} modeling, space mapping (SM), surrogate modeling, microwave circuits.",
    pages        = "4316-4322",
    journal      = "{IEEE} Transactions on Microwave Theory and Techniques",
    volume       = "54",
    editor       = "",
    number       = "12",
    publisher    = "",
    url          = "http://www2.compute.dtu.dk/pubdb/pubs/4733-full.html",
    abstract     = "We present a theoretical justification of a recently
introduced surrogate modeling methodology based on space
mapping that relies on an available data base and on-demand
parameter extraction. Fine model data, the so-called base set, is
assumed available in the region of interest. To evaluate the
surrogate, we perform parameter extraction with weighting
coefficients dependent on the distance between the point of
interest and base points. We provide theoretical results showing
that the new methodology can assure any accuracy that is
required (provided the base set is dense enough), which is not the
case for our benchmark space mapping modeling methodology.
Illustrative examples emphasizing differences between modeling
methodologies are provided."
}