Multiscale deformation analysis by Cauchy-Navier wavelets

Multiscale deformation analysis by Cauchy-Navier wavelets

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A geoscientifically relevant wavelet approach is established for the classical (inner) displacement problem corresponding to a regular surface (such as sphere, Belling 444444793 BI702G Gas Built Under Double Oven With Cook-to-off 444444793 ellipsoid, and actual earth surface).Basic tools are the limit and jump relations of (linear) elastostatics.Scaling functions and wavelets are formulated within the framework of the vectorial Cauchy-Navier equation.

Based on appropriate numerical integration rules, a pyramid scheme is developed providing fast wavelet transform (FWT).Finally, multiscale deformation analysis is PABA investigated numerically for the case of a spherical boundary.