轴对称渗流中自由边界问题的近似解法  

APPROXIMATE METHODS FOR A FREE BOUNDARY PROBLEM OCCURRING IN AXISYMMETRIC FILTRATION

作　　者：许作良[1] 张关泉[1] 

机构地区：[1]中国科学院数学与系统科学研究院

出　　处：《计算数学》2000年第2期219-226,共8页Mathematica Numerica Sinica

基　　金：国家重点基础研究资助项目!(G1999032800)

摘　　要：In this paper, we discuss a free boundary problem occurring in axisymmetric filtration with nonhomogeneous anisotropic medium, which can be transformed into a mixed boundary value problem for nonlinear elliptic complex equations. By using Newton imbedding method, approximate solutions of the mixed boundary Value problem are obtained, and if proper conditions hold, we have also given error estimates of the approximate solutions.In this paper, we discuss a free boundary problem occurring in axisymmetric filtration with nonhomogeneous anisotropic medium, which can be transformed into a mixed boundary value problem for nonlinear elliptic complex equations. By using Newton imbedding method, approximate solutions of the mixed boundary Value problem are obtained, and if proper conditions hold, we have also given error estimates of the approximate solutions.

关 键 词：自由边界问题 椭圆型复方程 近似解 轴对称渗流 

分 类 号：TV13[水利工程—水力学及河流动力学]