摘要
对于点电源情况下三维电性分界面上电荷密度函数积分方程,应用矩量法并通过联合使用子域匹配和点匹配,选取Legendre多项式为整域基底函数,利用子域到整域的变换技术求解。模型试算精度(相对均方很差)达到0.69％,计算速度较之有限元法和有限差分法提高约3.5倍。
In point-source case, solving an integrated equation of the charge densityon 3-dimensional electrostatic interfaces is made by means of the momentmethod through the sub-domain matching method combined with the point-matching method, choosing the Legendre polynomial as the base function ofthe whole-domain and using a transformation technique from sub-domaininto whole-domain in the computing process. The comquting accuracy(relative average square-root error)for several models amount to 0.69%,The computing speed of this method is about 3.5 times as great as that ofthe finite element method and the finite difference method.
关键词
矩量法
电法
勘探
三维问题
正演
electrical prospecting
direct problem
operator equation
numerical solution/moment method
three-dimensional geological body
