等效偶层法位场曲面延拓的原理和计算方法

作者在本文中提出并证明Fredholm第二类积分方程幂级数解新的收敛条件。根据新的收敛条件,详细设计了等效偶层法位场曲面延拓的计算方法。在两种地形的试算中,证明了收敛条件的正确性和计算方法的有效性,对数值计算中的问题也进行了讨论。

PRINCIPLE AND COMPUTATIONAL METHOD OF CURVED SURFACE'S CONTINUATION OF POTENTIAL FIELD FOR EQUIVALENTLY DIPOLAR LAYER'S METHOD

In this paper,the author suggested and proved a new convergent criterion of the solution by power series for a Fredholm's integral equation of the second kind. On the basis of this new convergent criterion,the author deviced in detail a computational method of curved surface's continuation of a potential field for equivalently dipolar layer's method. The computation for two kinds of topographic relief proved correctness of the convergent criterion and the effectiveness of the computational method. Some problems in numerical computation are also discussed.