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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
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