笔者通过适当的函数分解和积分变换，将寻求复应力函数的问题转化为求解一正则型奇异积分方程，并借助积分方程理论给出了方程的求解方法。

Using proper decomposition of the functions and integral transformation, the problem is reduced to a singular integral equation, whose solution is given of the theory of integral equation.

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该方法基于非线性积分方程，用正则化方法求出电导率分布。

The method, based on nonlinear integral equation, is used to solve for the formation conductivity profile by using regularization.

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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.

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