A multiresolution homogenization of modal analysis with application to layered media

Ben Zion Steinberg and John J. McCoy

Mathematics and Computers in Simulation (MATCOM), 1999, vol. 50, issue 5, 393-417

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.

Keywords: Multiresolution; Wavelets; Homogenization; Smoothing; Boundary value problems; Effective properties (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:50:y:1999:i:5:p:393-417

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