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A simple and robust method for essential boundary condition treatments in mesh-less methods

本站小编 哈尔滨工业大学/2019-10-23

A simple and robust method for essential boundary condition treatments in mesh-less methods

ZHAO Wei-min1, GUO Feng2, LI Gui-xian2



Author NameAffiliation

ZHAO Wei-min School of Machinery Science and Engineering, Daqing Petroleum Institute, Daqing 163001, China 

GUO Feng School of Mecharonics Engineering, Harbin Institute of Technology, Harbin 150001, China, guofeng230@163.com 

LI Gui-xian School of Mecharonics Engineering, Harbin Institute of Technology, Harbin 150001, China, guofeng230@163.com 



Abstract:

To improve the treatment efficiency of essential boundary condition in mesh-less methods, a simple and robust method is proposed in this paper. Rising weight of nodes in the construction of trail function, specified for essential boundary condition, can make the trail function pass through these nodes. And then, the trail function can satisfy the essential boundary condition previously by setting diagonal element to 1 or multiplying diagonal element by a big number in FEM. The MLS method is adopted to validate this method, and it is proved that this method is costless and robust in most of mesh-less methods.

Key words:  mesh-less method  essential boundary condition  rising weight

DOI:10.11916/j.issn.1005-9113.2009.02.018

Clc Number:TH6

Fund:


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