On a Misconception Involving Point Collocation and the Rayleigh Hypothesis

Søren Christiansen, Ralph E. Kleinman

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    It is shown that the Rayleigh hypothesis does notgovern convergence of the simple point collocationapproach to the numerical solutions of scatteringby a sinusoidal grating. A recently developed numerical technique, interval arithmetic, is employed to perform some decisive numerical experiments which not only support but guarantee the validity of this conclusion.
    Original languageEnglish
    JournalIEEE Transactions on Antennas and Propagation
    Volume44
    Pages (from-to)1309-1316
    ISSN0018-926X
    Publication statusPublished - 1996

    Cite this