John J. McCoy

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We apply multiresolution techniques to study the effective properties of boundary value problems. Conditions under which boundary values are preserved in the effective (" ho-mogenized ") formulation are developed and discussed. Relations between the eigenfunctions and eigenvalues of the generic formulation and those of the effective formulation are explored(More)
A systematic study of the across scale coupling phenomenology in EM scattering problems is addressed using the theory of multiresolution decomposition and orthogonal wavelets. By projecting an integral equation formulation of the scattering problem onto a set of subspaces that constitutes a multiresolution decomposition of L 2 (R), one can derive two(More)
The theory of multiresolution decomposition and wavelets is used to study the eective properties of a thin elastic plate with surface mass density or stiness heterogeneity, subjected to time-harmonic forcing. The heterogeneity possesses micro-and macro-scale variations, and has a macroscale outer dimension. It is shown that the microscale mass variation has(More)
A systematic study of the across scale coupling phenomenology in scattering problems is addressed using the theory of multiresolution decomposition and orthogonal wavelets. By projecting an integral equation formulation of the scattering problem onto a set of subspaces that constitutes a multiresolution decomposition of L 2 (R), one can derive two coupled(More)
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