Optimal Influence Radius of Weight Functions in Meshless Methods in Three Dimensions

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2008, Vol. 25 ›› Issue (3): 269-274.

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Optimal Influence Radius of Weight Functions in Meshless Methods in Three Dimensions

NIE Yufeng¹, MENG Zhuo², FAN Xiangkuo¹

1. Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710072, China;
2. School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China

Received:2006-11-08 Revised:2007-06-20 Online:2008-05-25 Published:2008-05-25

Abstract

Abstract: We establish a practical mathematical model to compute optimal influence radius of weight functions in three dimensions. It is solved with linear basis and quadratic basis. Effects of error estimates, computing time and condition numbers of weight function with different influence radius on computation performance are investigated. Numerical examples demonstrate relability, efficiency and optimality of the influence radius.

Key words: meshless methods, moving least squares, weight function, influence radius, condition number, numerical integration

CLC Number:

O241
O243

NIE Yufeng, MENG Zhuo, FAN Xiangkuo. Optimal Influence Radius of Weight Functions in Meshless Methods in Three Dimensions[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 25(3): 269-274.

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Optimal Influence Radius of Weight Functions in Meshless Methods in Three Dimensions

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