用于势场反演的特殊解法

详细信息

The Particular Solution Method for Potential value Inversion

摘要: 本文以无旋场的积分路径为射线,以边界上已知的势值为输入、输出量,利用反拉东变换求一个梯度场的势函数,用反演的方法求解可以化为拉普拉斯方程的一类二阶偏微分方程。其思路新颖,原理独特,运算正确,边界条件处理方便,数值实现容易。在重力场和地电场的研究中可能得到应用。
- 无旋场 /
- 射线 /
- 拉普拉斯方程 /
- 反演
Abstract: In this paper the integral routes of irrotational field are treated as rays, the potential values of the boundary points which be passed by the ray are treated as input and output, then Laplace Equation can be solved by inverse method. This method is innovatory and applicable, the results are precise and the boundary conditions are easy to be coped with. This is a useful numerical method for a kind of second-order partial differential equations that can be transformed to Laplace Equation.
- Inverse Method /
- Laplace Equation /
- Ray /
- Potential value