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

作　　者：李俊杰[1] 严家斌[1] 

机构地区：[1]中南大学地球科学与信息物理学院,长沙410083

出　　处：《地球物理学进展》2014年第1期452-461,共10页Progress in Geophysics

基　　金：国家自然基金资助项目(40874055);湖南省自然基金资助项目(07JJ5065)联合资助

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.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 of Galerkin 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 

分 类 号：P631[天文地球—地质矿产勘探]