摘要
本文考虑了一类具有周期振荡系数二阶椭圆型方程边值问题,提出了基于双尺度渐近展开式的高精度有限元算法,并给出严格的证明。
In this paper, the boundary value problem of second order elliptic type equation with rough periodic coefficients is considered, which comes from mechanical problem of composite materials and the heat equation of porous media and so on. A two-scale finite element method with high accuracy and its rigorous theoretical verification are reported.
出处
《系统科学与数学》
CSCD
北大核心
2005年第4期471-480,共10页
Journal of Systems Science and Mathematical Sciences
基金
湖南省教育厅科研基金(03C554)