改进的椭圆型问题一阶渐近展开误差估计  

AN IMPROVED ERROR ESTIMATE OF THE ONE-ORDER ASYMPTOTIC EXPANSION FOR ELLIPTIC PROBLEMS

作　　者：李友爱[1] 崔俊芝[2] 

机构地区：[1]北京工商大学数理系,北京100037 [2]中国科学院计算数学所,北京100080

出　　处：《高等学校计算数学学报》2008年第2期178-183,共6页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1 引言 考虑下述多尺度椭圆问题：This paper carries out the error analysis of the asymptotic expansion proposed in [1,3] for elliptic problems. In particular, we show that the first asymptotic solution is convergent with order O（ε） provided that the coefficients satisfy some symmetric properties proposed in [3]. This improves the result from [1,3].

关 键 词：椭圆型问题 误差估计 渐近展开 一阶 椭圆问题 多尺度 

分 类 号：O241.82[理学—计算数学] O175.8[理学—数学]