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Two-dimensional numerical wavelet-homogenization for obtaining effective characteristics of composite materials. (Russian. English summary) Zbl 1182.74040
Multisciled wavelet-averaging of solutions of elliptic differential equations of the form $-\nabla^T(K(x,y)\nabla u)+Q=0,\quad x,y\in[0,1].$ where $$(K(x,y)$$ is a fast oscillating coefficient is considered. The equation is connected with composite material dynamics.
##### MSC:
 74E30 Composite and mixture properties 35Jxx Elliptic equations and elliptic systems 65T60 Numerical methods for wavelets
##### Keywords:
composite materials; PDE of elliptic type; wavelets
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