A second-order and two-scale computation method for the quasi-periodic structures of composite materials

Authors:
Su Fang;Cui Jun Zhi;Xu Zhan;Dong Qiao Li
Affiliations:
Department of Mathematics and Systems Science, National University of Defense Technology, Changsha 410073, China;Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Beijing 100190, China;School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China;Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Beijing 100190, China
Venue:
Finite Elements in Analysis and Design
Year:
2010

Citing 2
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Abstract

In this paper, we shall present the multi-scale analysis of boundary value problems for second-order elliptic type equation for the quasi-periodic structures of composite materials, and give the mathematical proof of the convergence estimate for displacement, which is the basis of finite element computation. Finally, numerical results show that the method presented in this paper is effective and reliable.