无网格法进展及在地球物理学中的应用
Developments of meshless method and applications in geophysics
李俊杰 1严家斌1
作者信息
- 1. 中南大学地球科学与信息物理学院,长沙410083
- 折叠
摘要
无网格法作为网格方法的重要补充和发展,是一新兴数值方法.本文围绕无网格法的近似方式及加权残量法这两个核心内容,详细阐述了无网格法的基本原理,评述了无网格法的优缺点,并对无网格法的研究进展作了综述;以大地电磁二维问题为例,详细介绍了Galerkin弱式无网格法的求解过程;最后介绍了无单元Galerkin法(EFGM)在地球物理学中的应用.
Abstract
Meshless method is a new numerical method as an important complement and development of the grid method.This paper focuses on meshless approximation methods and the weighted residual methods to elaborate the principle of meshless method.This paper also review the advantages and disadvantages of meshless method and summarize its research progress and detailedly introduced the solving process ofGalerkin weak form meshless method according to magnetotelluric two-dimensional problem.Finally,Application of element-free Galerkin method in geophysics is discussed.
关键词
无网格法/加权残量法/大地电磁/无单元Galerkin法Key words
meshless method/weighted residual method/magnetotelluric/element-free Galerkin method引用本文复制引用
基金项目
国家自然科学基金资助项目(40874055)
湖南省自然科学基金资助项目(07JJ5065)
出版年
2014
NETL
NSTL
维普
万方数据