A hybrid method for numerical solution of Poisson's equation in a domain with a dielectric corner

被引：1
|
作者：
Bogolyubov, A. N. [1 ]
Erokhin, A. I. [1 ]
Mogilevskii, I. E. [1 ]
Svetkin, M. I. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Phys, Moscow 119991, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 08期
基金：
俄罗斯基础研究基金会;
关键词：
Poisson's equation; dielectric corner; finite element method; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1134/S096554251708005X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An electrostatic problem of determining a potential in a domain containing an incoming dielectric corner, which reduces to solving Poisson's equation in this domain, is considered. A specific feature of the solution of this problem is that it is bounded in a neighborhood of the dielectric corner but its gradient increases without limit. An efficient hybrid algorithm for the numerical solution of the problem, based on the finite element method and taking into account the known asymptotic representation of the solution in the neighborhood of the dielectric corner, is proposed.
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页码：1310 / 1319
页数：10
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