椭圆型方程自由边值问题的数值解法  

Numerical method for solving a kind of free boundary problems of elliptic equation

作　　者：年四洪[1] 闫双伦 罗远诠 

机构地区：[1]大连轻工业学院

出　　处：《大连理工大学学报》1994年第1期108-112,共5页Journal of Dalian University of Technology

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...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.

关 键 词：椭圆型方程 自由边值问题 数值解 

分 类 号：O241.82[理学—计算数学]