THE NUMERICAL SOLUTION OF FIRST KIND INTEGRAL EQUATION FOR THE HELMHOLTZ EQUATION ON SMOOTH OPEN ARCS

Wei-jun Tang; Hong-yuan Fu; Long-jun Shen

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THE NUMERICAL SOLUTION OF FIRST KIND INTEGRAL EQUATION FOR THE HELMHOLTZ EQUATION ON SMOOTH OPEN ARCS

机译：光滑开放弧面上HelMHOLTZ方程第一类积分方程的数值解

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摘要

Consider solving the dirichlet problem of Helmholtz equation on unbounded region R~2Γ with Γa smooth open curve in the plane. We use simple-layer potential to construct A solution. This leads to the solution of a logarithmic integral equation of the first kind for The Helmholtz equation. This equation is reformulated using a special change of variable, Leading to a new first kind equation with a smooth solution function.

机译：考虑在平面上有Γa光滑开放曲线的无界区域R〜2Γ上解决Helmholtz方程的Dirichlet问题。我们使用简单层势来构造A解。这导致了针对亥姆霍兹方程的第一类对数积分方程的解。使用变量的特殊更改来重新构造该方程式，从而产生具有光滑解函数的新的第一类方程式。

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来源
《Journal of Computational Mathematics》 |2001年第5期|p.489-500|共12页
作者
Wei-jun Tang; Hong-yuan Fu; Long-jun Shen;
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正文语种 eng
中图分类计算数学;
关键词
Helmholtz equation; Quadrature method;

机译：亥姆霍兹方程正交法;

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3. Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [J] . M.A. AL-Jawary, L.C. Wrobel International journal of computer mathematics . 2012,第10a12期

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THE NUMERICAL SOLUTION OF FIRST KIND INTEGRAL EQUATION FOR THE HELMHOLTZ EQUATION ON SMOOTH OPEN ARCS

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