Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (1): 1-6 .doi: https://doi.org/10.1007/s10483-006-0101-1

• Articles •     Next Articles

MESH FREE METHOD BASED ON LOCAL CARTESIAN FRAME

LIU Gao-lian, LI Xiao-wei   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China
  • Received:2004-11-23 Revised:2005-09-21 Online:2006-01-18 Published:2006-01-18
  • Contact: LI Xiao-wei

Abstract: A new mesh free method proposed by the authors was presented, in which the derivatives at each node were constructed using whole derivative formulas through the nodes selected around the node using local Cartesian frame in an autonomous manner, so that without any element it could be considered as a completely mesh free method. The method was tested with a numerical example, and reliable solution was obtained with high accuracy and efficiency.

Key words: mesh free, whole derivative, Cartesian frame

2010 MSC Number: 

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