Multiscale computation method for parabolic problems of composite materials

作者：Su, Fang^*; Xu, Zhan; Dong, Qiao Li; Jiang, Hao

来源：Applied Mathematics and Computation, 2011, 217(21): 8337-8342.

DOI：10.1016/j.amc.2011.03.028

• Parabolic equation
• Multiscale asymptotic expansion
• Finite element method
• Homogenization method
• Euler format

In this paper, we consider the initial-boundary value problem of parabolic type equation with rapidly oscillating coefficients in both time and space. A multiscale asymptotic expansion of solution for this kind of problem is presented. The full discrete finite element method for computing above problem is introduced. This method can apply to heat conduction analysis of composite materials. The main advantages of this method are that it can greatly save computer memory and CPU time, and it has good precision at the same time. Finally numerical results show that the method presented in this paper is effective and reliable.

• 出版日期2011-7-1
• 单位中国民航大学; 中国人民解放军国防科学技术大学