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

作者：Fang, Su^*; Zhi, Cui Jun; Zhan, Xu; Li, Dong Qiao

来源：Finite Elements in Analysis and Design, 2010, 46(4): 320-327.

DOI：10.1016/j.finel.2009.11.004

• Multi-scale finite element analysis
• Quasi-periodic structure
• Correction term

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.

• 出版日期2010-4
• 单位中国科学院数学与系统科学研究院; 中国人民解放军国防科学技术大学