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A multiresolution homogenization of modal analysis with application to layered media |
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| Authors: | Ben Zion Steinberg John J McCoy |
| Affiliation: | a Department of Interdisciplinary Studies, Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel b School of Engineering, The Catholic University of America, Washington DC 20064, USA |
| 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 |
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