John J. McCoy

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We apply multiresolution techniques to study the eeective properties of boundary value problems. Conditions under which boundary values are preserved in the eeective (\ho-mogenized") formulation are developed and discussed. Relations between the eigenfunctions and eigenvalues of the generic formulation and those of the eeective formulation are explored and(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 scattering by a pair of spatially disjoint local regions of complex (multiscale) stiiness heterogeneity in an unbounded thin linearly elastic plate, is investigated. Issues of the mutual interaction of the spatially disjoint scatterers and its manifestation within a homogenized, or eeective, formulation governing large scale response elds, are the(More)
The theory of multiresolution decomposition and wavelets is used to study the e ective properties of a thin elastic plate with surface mass density or sti ness heterogeneity, subjected to time-harmonic forcing. The heterogeneity possesses microand macro-scale variations, and has a macroscale outer dimension. It is shown that the microscale mass variation(More)
  • John J. McCoy
  • The Journal of the Acoustical Society of America
  • 2005
There are two critical issues when deriving a macro-scale prediction model starting from a more complete, underlying model. The first is the precise relationship of the fields predicted by the more complete model and the fields predicted by the macro-scale model. The second is the manner of solving a closure problem that is invariably encountered in all(More)
We apply multiresolution techniques to study the eeective properties of boundary value problems. Conditions under which boundary values are preserved in the eeective (\homogenized") formulation are developed and discussed. Relations between the eigenfunctions and eigenvalues of the generic formulation and those of the eeective formulation are explored.(More)