ON THE COMBINATION OF SINGULAR AND HYPERSINGULAR BOUNDARY INTEGRAL EQUATIONS FOR THE NEUMANN BOUNDARY VALUE PROBLEM FOR AN ELLIPTIC EQUATION WITH VARIABLE COEFFICIENTS

被引：0

作者：

Babenko, Christina ^{[1
]}

Chapko, Roman ^{[2
]}

机构：

[1] Ukrainian Engn Pedag Acad, UA-61003 Kharkov, Ukraine

[2] Ivan Franko Natl Univ Lviv, UA-79000 Lvov, Ukraine

来源：

JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS | 2012年 / 3卷 / 109期

关键词：

Elliptic equation with variable coefficients; Levi's functions; System of boundary integral equations; Strong and hyper-singularities; Quadrature method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the interior Neumann boundary value problem for an elliptic equation with variable coefficients. For the numerical solution of this problem we develop an approach, which leads to a system of boundary integral equations with strong- and hypersingular kernels. The full discretization is realized by the quadrature method with use of quadrature rules based on trigonometrical interpolation. The results of numerical experiments are presented.

引用

页码：1 / 10

页数：10

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