无网格介点法：一种具有<em>h-p-d</em>适应性的无网格法

杨建军; 郑健龙

doi:10.21656/1000-0887.370159

无网格介点法：一种具有h-p-d适应性的无网格法

doi: 10.21656/1000-0887.370159

杨建军¹,
郑健龙²

¹长沙理工大学道路结构与材料交通行业重点实验室, 长沙 410114;²长沙理工大学交通运输工程学院, 长沙 410114

基金项目: 国家自然科学基金（51478053）

详细信息

作者简介:
杨建军（1975—），男，讲师，博士，硕士生导师(通讯作者. E-mail: yangjianjun01@126.com);郑健龙（1954—），男，教授，博士，博士生导师，工程院院士.

中图分类号: O241; O343
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- 被引次数: 0
出版历程
- 收稿日期: 2016-05-23
- 修回日期: 2016-06-10
- 刊出日期: 2016-10-15

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

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）

摘要

摘要: 提出了一种新型无网格法，即无网格介点（MIP）法.MIP法采用移动最小二乘核近似，有利于提高数值方法的计算稳定性，而且算法更为简便.MIP法采用局部介点近似技术，使得这种方法不仅具有一般的h适应性，而且具有p-d适应性，从而使方法在数值实施上更具有灵活性.数值算例结果表明，MIP法具有计算简单，效率高，精度高的优点，而且显示出对多种求解问题具有广泛适用的特性.
- 无网格法 /
- 介点原理 /
- h-p-d适应性 /
- 移动最小二乘核近似 /
- 局部介点近似
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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参考文献(21)

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