In the present paper, a novel formulation of the wavelet-based finite elementmethod (WSFEM) is proposed and applied to the in-plane wave equations inorthotropic plate structures. By computing the exact values of the connectioncoefficients of Daubechies compactly supported wavelets over a finite interval, thewavelet-Galerkin method is employed. Subsequently, the elastodynamic equationsare decoupled with respect to the transformation parameter. Contrary to moreconventional transformed domain methods which have difficulties in handlingrelatively complex geometries, the response in the transformed (wavelet) domain isfully discretized in analogy with FEM. However, unlike the conventional FEM, thebasis functions in the proposed WSFEM are functions of the wavenumbers in thetransformed domain. It is shown in the paper that the proposed WSFEM convergesfaster than FEM with linear or quadratic basis functions with substantially fewernumber of time sampling points. Since the present approach allows for solving thetransformed governing equations for each wavelet point separately, the method isinherently suitable for parallel computation. In addition, the temporal discretizationis not influenced by the FE mesh.
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