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椭圆型方程自由边值问题的数值解法
引用本文:年四洪,闫双伦.椭圆型方程自由边值问题的数值解法[J].大连理工大学学报,1994,34(1):108-112.
作者姓名:年四洪  闫双伦
作者单位:大连轻工业学院
摘    要:椭圆型方程自由边值问题的数值解法年四洪,闫双伦,罗远诠(应用数学系)关键词:椭圆型方程;自由边值问题;数值计算分类号:O241.821问题的提法及数值解法考虑如下一类椭圆型方程自由边值问题:其中:Ω是任意单连通区域,Γ_1与Γ_2、Γ_3与Γ_4分别...

关 键 词:椭圆型方程  自由边值问题  数值解

Numerical method for solving a kind of free boundary problems of elliptic equation
Nian Sihong,Yan Shuanglun,Luo Yuanquan.Numerical method for solving a kind of free boundary problems of elliptic equation[J].Journal of Dalian University of Technology,1994,34(1):108-112.
Authors:Nian Sihong  Yan Shuanglun  Luo Yuanquan
Abstract:The object of this paper is to propose a numerical methd for solving a kind of the freeboundary problems of elliptic equation , in which the original problem is changed into a fixedboundary problem of a system of quasilinear elliptic equations, which includes two equations andis defined on a rectangular domain. It is easy to be discretized with difference method and to besolved with iterative method for the latter.The numerical method can be used to solve a numberof practical problems. The numerical examples show that this method is very effective.
Keywords:elliptic equations  free boundary problems  numerical computation
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