SPECIAL INTEGRAL-EQUATIONS OF POTENTIAL-THEORY

被引：0
|
作者：
MOKIN, YI
机构：
来源：
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1989年 / 29卷 / 06期
关键词：
D O I：
10.1016/S0041-5553(89)80027-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Special integral equations are proposed for the Dirichlet problem on a system of open contours and the mixed boundary-value problem. For a two-dimensional elliptic differential operator of second order. It is shown that the corresponding integral operators are selfadjoint and positive relative to a suitably defined scalar product. A numerical method is proposed for solving the integral equations, based on the use of adaptive grids.
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页码：166 / 176
页数：11
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