Solving Exterior Boundary Value Problems for the Laplace Equation

被引：1
|
作者：
Galanin, M. P. [1 ,2 ]
Sorokin, D. L. [1 ,2 ]
机构：
[1] Keldysh Inst Appl Math, Moscow 125047, Russia
[2] Bauman Moscow State Tech Univ, Moscow 105005, Russia
来源：
DIFFERENTIAL EQUATIONS | 2020年 / 56卷 / 07期
关键词：
D O I：
10.1134/S0012266120070083
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose methods for solving an exterior boundary value problem for the Laplace equation based on the main integral Green formula. The main technique is the one of setting an artificial integral boundary condition with iterative improvement. It is shown that iterative methods converge at the rate of a geometric progression. The applicability of the methods for solving exterior problems is confirmed by computational experiments in the two- and three-dimensional cases. The algorithm is also applied to problems with an operator of the mixed type.
引用
收藏
页码：890 / 899
页数：10
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