坝体渗流自由边值问题的一个解法  

A Method for Solving the Dam Seepage Free-Bosmdary Problem

作　　者：战同胜[1] 罗远诠[2] 

机构地区：[1]大连大学师范学院数学系 [2]大连理工大学应用数学系

出　　处：《Journal of Mathematical Research and Exposition》1991年第4期595-599,共5页数学研究与评论（英文版）

摘　　要：其中BC是自由边界面,H和h是常数,H>h,渗透系数K是x,y的函数,K>0.由于自由边界BC的存在,直接去解问题(1)比较困难.1980年Crank和Ozis提出一个方法,将变量u和x的函数关系交换,把(1)化为未知函数为x(u,y)的在一个梯形区域上的固定边界问题,大大简化了问题的求解.In this paper, a transformation is given, which transformed the dam seepage free-boundary problem into a fixed-boundary problem of a quasi-Linear elliptic equations on a rectangular (as 2-dimension) or cubic (as 3-dimension) domain. The latter problem is solved easily to use the finite-difference method and the SOR arithmetic. The method, is given in this paper, is suitable for 2-dimension or 3-dimension and at that time there are a well .

关 键 词：坝体 渗流 自由边值问题 差分法 

分 类 号：O241.82[理学—计算数学]