有限差分法在二维位场延拓的应用  

Application of FDM to Two-dimensional Potential Field Extension

作　　者：尤淼[1] 鲁霞[1] 张健[1] 

机构地区：[1]成都理工大学信息工程学院,成都610059

出　　处：《工程地球物理学报》2010年第3期269-273,共5页Chinese Journal of Engineering Geophysics

基　　金：国家973计划重大项目(编号:121208818092)资助

摘　　要：采用第一类边界值条件下有限差分矩形等距网格法,对位场求解区进行网格剖分,探讨有限差分方程的建立、建模和计算原理。在同一种模型建立的差分方程下,使用Jacobian迭代和全选主元高斯消去法进行求解,统计计算时间和迭代次数,比较两者的均方误差。不同模型计算结果显示,两者求解结果基本吻合。In this paper,using FDM rectangular grid method under the first boundary condition,the potential field is solved to divide the grid.Then the foundation,modeling and calculation principle of FD equations are analyzed.From the same modeling,the Jacobian iteration and the whole pivoting Gaussian elimination methods are adopted to solve differential equations.The calculating time is obtained and the number of iterations is counted.In addition,the mean square errors between them are compared.The result shows that the result between the two solutions is consistent.

关 键 词：有限差分法 网格剖分 正演计算 二维 

分 类 号：P631.3[天文地球—地质矿产勘探]