A Meshless Intervention-Point Method With <em>h-p-d</em> Adaptability

YANG Jian-jun; ZHENG Jian-long

doi:10.21656/1000-0887.370159

Volume 37 Issue 10

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YANG Jian-jun, ZHENG Jian-long. A Meshless Intervention-Point Method With h-p-d Adaptability[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1013-1025. doi: 10.21656/1000-0887.370159

Citation:

YANG Jian-jun, ZHENG Jian-long. A Meshless Intervention-Point Method With h-p-d Adaptability[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1013-1025. doi: 10.21656/1000-0887.370159

YANG Jian-jun, ZHENG Jian-long. A Meshless Intervention-Point Method With h-p-d Adaptability[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1013-1025. doi: 10.21656/1000-0887.370159

Citation:

YANG Jian-jun, ZHENG Jian-long. A Meshless Intervention-Point Method With h-p-d Adaptability[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1013-1025. doi: 10.21656/1000-0887.370159

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A Meshless Intervention-Point Method With h-p-d Adaptability

doi: 10.21656/1000-0887.370159

YANG Jian-jun¹,
ZHENG Jian-long²

¹Key Laboratory of Road Structure and Material of Ministry of Transport, Changsha University of Science and Technology, Changsha 410114, P.R.China;²School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha 410114, P.R.China

Funds: The National Natural Science Foundation of China（51478053）

Received Date: 2016-05-23
Rev Recd Date: 2016-06-10
Publish Date: 2016-10-15

Abstract

Abstract

A truly meshless method, the meshless intervention-point (MIP) method, was presented. The moving least squares core (MLSC) approximation was applied to build the shape functions, and to help formulate a more simple and stable algorithm. Furthermore, a local intervention-point approximation technique for numerical discretization was introduced to endow the method with the h-p-d adapability, which meant higher flexibility and applicability in reality. The results from several numerical tests show that the proposed method is simple, efficient and accurate, and exhibits all-round potential for engineering computation.
- meshless method,
- intervention-point principle,
- h-p-d adaptability,
- moving least squares core approximation,
- local intervention-point approximation

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References(21)

References

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