Title :
Two-scale computation for 2-order elliptic problem with periodically oscillating coefficients
Author :
Wan, Jianjun ; Zhao, Yongcheng
Author_Institution :
Dept. of Math., Zhengzhou Univ., Zhengzhou, China
Abstract :
In this paper, a new approach for constructing the two-order and two-scale approximate solution to the elliptic problem with the sharply periodic oscillation coefficients is developed. The results of many numerical experiments for different two-order and two-scale approaches, in those the one-order local solution and two-order local solution defined in reference cell respectively satisfy different combination of boundary conditions are shown.
Keywords :
boundary-value problems; elliptic equations; 2-order elliptic problem; boundary conditions; periodically oscillating coefficients; two-order computation; two-scale approximate solution; Approximation methods; Boundary conditions; Convergence; Finite element methods; Iron; Materials; Mathematical model; composites; elliptic problem; multi-scale analysis;
Conference_Titel :
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-8036-4
DOI :
10.1109/ICEICE.2011.5777707
