Space-Mapping-Based Interpolation for Engineering Optimization

Slawomir Koziel, John W. Bandler, Kaj Madsen

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    We consider a simple and efficient space-mapping (SM) based interpolation scheme to work in conjunction with SM optimization algorithms. The technique is useful if the fine model (the one that is supposed to be optimized) is available only on a structured grid. It allows us to estimate the response of the fine model at off&8209;grid points and, as a result, increases the effective resolution of the design variable domain search and improves the quality of the fine model solution found by the SM optimization algorithm. The proposed method requires little computational effort; in particular no additional fine model evaluations are necessary. Several examples that verify accuracy and robustness of our approach are provided.
    Original languageEnglish
    JournalI E E E Transactions on Microwave Theory and Techniques
    Volume54
    Issue number6/1
    Pages (from-to)2410-2421
    ISSN0018-9480
    DOIs
    Publication statusPublished - 2006

    Keywords

    • off-grid interpolation
    • microwave design
    • optimization
    • space mapping

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