本文对边界积分方程中所存在的超奇异积分的数值解法作了综述，并介绍了它的一些应用。
In this paper numerical solution methods of hypersingular integrals in boundary integral equation have been summarized together with some of their applications.
从而完成了超奇异积分方程组数值法的建立，这一方法现称之为有限部积分——边界元法。
So far, the numerical techniques solving the hyper-singular integral equations are established, and these are called finite-part integral-boundary element method.
研究二维弹性力学问题边界积分方程，通过分部积分变换消除了常规导数边界积分方程中的超奇异积分，获得仅含强奇异积分的应力自然边界积分方程。
Hence, a new stress natural BIE is developed, in which there only exist the strongly singular integrals instead of the hypersingular integrals in the conventional stress BIE.
利用正则化关系式处理了声学边界元方法中的超奇异数值积分。
The hyper-singular numerical integral occurred in the acoustic boundary element method has been dealt with using a regularization formulation.
导数场边界积分方程通常难以应用，因为存在着超奇异主值积分的计算障碍。
The several different displacement derivative boundary integral equations (BIE) have been proposed in elasticity problem.
导数场边界积分方程通常难以应用，因为存在着超奇异主值积分的计算障碍。
The several different displacement derivative boundary integral equations (BIE) have been proposed in elasticity problem.
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