A multiresolution homogenization of modal analysis with application to layered media

Ben Zion Steinberg*, John J. McCoy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We apply multiresolution techniques to study the effective properties of boundary value problems. Conditions under which boundary values are preserved in the effective ('homogenized') formulation are developed and discussed. Relations between the eigenfunctions and eigenvalues of the generic formulation and those of the effective formulation are explored. Applications to the construction of effective Green function in a complex lamination are discussed. The analytic results are demonstrated via numerical computations.

Original languageEnglish
Pages (from-to)393-417
Number of pages25
JournalMathematics and Computers in Simulation
Volume50
Issue number5-6
DOIs
StatePublished - 1 Dec 1999

Funding

FundersFunder number
Israel Science Foundation

    Keywords

    • Boundary value problems
    • Effective properties
    • Homogenization
    • Multiresolution
    • Smoothing
    • Wavelets

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