Quadrature Formula for the Harmonic Double Layer Potential

被引：6
|
作者：
Krutitskii, P. A. [1 ,2 ]
Reznichenko, I. O. [1 ]
机构：
[1] Keldysh Inst Appl Math, Moscow 125047, Russia
[2] Lomonosov Moscow State Univ, Moscow 119991, Russia
来源：
DIFFERENTIAL EQUATIONS | 2021年 / 57卷 / 07期
关键词：
LAPLACE EQUATION; DIRICHLET PROBLEM; DOMAIN;
D O I：
10.1134/S0012266121070077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain a quadrature formula for the harmonic double layer potential with continuous density defined on a smooth surface (closed or open). Numerical tests confirm that this formula has higher accuracy than the standard quadrature formula. The advantage of the new formula is especially noticeable near the surface, where the values calculated by the standard formula tend to infinity, while the new formula provides acceptable accuracy.
引用
收藏
页码：901 / 920
页数：20
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