This article is cited in 2 papers

Numerical peculiarities of the 2D wavelet-homogenization in the problems of multiresolution analysis

S. P. Kopysov, Yu. A. Sagdeeva

Institute of Mechanics, Ural Branch of RAS, Izhevsk

Abstract: A numerical algorithm for the 2D wavelet-transformation with the use of the Haar basis and its properties are considered. An approach for improving the efficiency of the numerical scheme is proposed. Some numerical results of wavelet-transformation in the elasticity theory of composite materials are discussed.

Keywords: wavelet-transformation, multiscale analysis, Haar basis, finite-element methods, elasticity theory, composite materials.

UDC: 519.6