摘要
无网格法是近几年来发展的一种新的基于变分原理的数值计算方法,由于在计算形函数中不需要划分网格。在力学、电磁学等领域得到了广泛的研究。基于无网格法在大地电磁勘探正演中的应用进行了研究,首先对无网格法的基本原理进行了阐述,并利用广义变分原理推导出了相应的离散方程,编制了相应的程序,最后通过两个理论模型的计算结果检验了算法的正确性.
As a new numerical computational method based on the principle of variation, the meshfree method has maintained a rapid development in recently years. It has been widely used to study the problem of mechanics and electromagnetics because of avoiding the onerous mesh generation. In this paper, two-dimensional magnetotelluric response was calculated by the meshfree method. The basis of the meshfree method was explicitly described and the particular meshless calculating formulas were deduced through the generalized variational principle. The program is verified by comparison with the analytic response of a symmetrical ladders model and with the finite difference results of laterally inhomogeneous model.
出处
《物探与化探》
CAS
CSCD
2012年第6期1024-1028,1039,共6页
Geophysical and Geochemical Exploration
基金
国家重点基础研究发展计划(973)项目(2007CB209607)
国家自然科学基金项目(40727001)
关键词
无网格法
大地电磁法
移动最小二乘拟合
有限元法
meshless method
magnetotelluric method
moving least-square method
forward calculation
