垂直多层土壤的格林函数

为解决垂直多层土壤格林函数理论推导复杂和数值求解方法繁琐的问题，提出了符号方程理论推导方法和自适应高精度复镜像数值求解的方案。符号方程法借助镜像变换和分离变量法实现了机械化推导，可以求得格林函数通用的封闭表达式。自适应高精度复镜像法先使用二次采样方法对格林函数的封闭表达式进行智能采样，然后运用矩阵束法直接对离散化的格林函数系数进行复镜像拟合，能够显著提高计算的效率和精度，弥补了传统Prony法和广义函数束法在数值稳定性和精度方面的不足。经由算例对比，该方法准确有效，可以应用于垂直或水平多层土壤接地问题的计算。

Green's Function of Vertical Multi-layer Soil

Theoretical derivation complexity and numerical analysis complication are two main difficulties in Green's function of vertical multi-layer soil.In order to overcome these difficulties,the symbolic equation method was presented as derivation method of Green's function and the self-adapting high-accuracy complex image method was used to get numerical solution of Green's function.Based on image transform and separation of variable method,the symbolic equation method was used as mechanized derivation method.Th...