The fields of potential generated by a point source in the ring-shaped region

YU.A. MELNIKOV; ALI S. ARMAN

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The fields of potential generated by a point source in the ring-shaped region

机译：环形区域中点源产生的电势场

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The problem is studied through the concept of influence (Green's) function for Laplace equation. When the classical eigenfunction expansion method (EEM) is used in elliptic PDEs for the construction of Green's functions, the latter appear in the form of non-uniformly convergent series, the ones that are not suitable for immediate computational applications. To refrain from this defect, a modified version of the EEM has earlier been proposed, the key point of which is splitting off the singular and regular components of Green's function.

机译：通过对拉普拉斯方程的影响（格林）函数的概念研究了该问题。当在椭圆PDE中使用经典本征函数展开方法（EEM）构造Green函数时，后者以非均匀收敛级数的形式出现，这不适用于立即的计算应用。为了避免这种缺陷，较早提出了EEM的修改版本，其要点是将格林函数的奇异和正则分量分开。

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《Mathematical Engineering in Industry》 |2001年第3期|p.223-238|共16页
作者
YU.A. MELNIKOV; ALI S. ARMAN;
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中图分类工程基础科学;
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The fields of potential generated by a point source in the ring-shaped region

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