Two-dimensional numerical wavelet-homogenization for obtaining effective characteristics of composite materials. (Russian. English summary) Zbl 1182.74040

Kopysov, S. P.; Sagdeeva, Y. A.

Mat. Model. 21, No. 4, 65-78 (2009).

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.

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

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