具有周期振荡系数二阶椭圆型方程的双尺度高精度算法  

HIGH ACCURACY ALGORITHM FOR SECOND ORDER ELLIPTIC PROBLEM WITH ROUGH PERIODIC COEFFICIENTS

作　　者：刘晓奇 刘金朝[2] 朱起定 

机构地区：[1]湖南师范大学数学与计算机科学学院 [2]中国铁道科学研究院,北京100081

出　　处：《系统科学与数学》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)

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.

关 键 词：双尺度渐近展开式 二阶椭圆型方程 周期间断系数 高精度算法 振荡系数 双尺度 周期 有限元算法 渐近展开式 边值问题 

分 类 号：O241.82[理学—计算数学]