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径向点插值法局部形参的改进校准方法

禹忠 杨刘伟 柯熙政

电波科学学报2017,Vol.32Issue(4):410-415,6.
电波科学学报2017,Vol.32Issue(4):410-415,6.DOI:10.13443/j.cjors.2017033001

径向点插值法局部形参的改进校准方法

The optimized calibration method for the local shape factors of radial point interpolation method

禹忠 1杨刘伟 2柯熙政2

作者信息

  • 1. 西安理工大学,西安710048
  • 2. 西安邮电大学,西安710121
  • 折叠

摘要

Abstract

In the radial point interpolation method (RPIM),the shape factors such as the parameters of basis function,the support domain size and the average node distance directly affect the interpolation precision and computational efficiency,and the small shape parameter may lead to interpolation instability.In order to optimize parameter selection in RPIM,the algorithm based on the local shape factor calibration method(LSFCM)is proposed in the electromagnetic field problem.The global root mean square (RMS) interpolation error curve with different support domain size,node distance and different parameters can simplify the process of the shape parameter selection and node interpolation.The numerical results show the algorithm has improved the interpolation precision and computational efficiency.

关键词

无网格法/径向点插值/径向基函数/支持域/形参校准

Key words

meshless method/radial point interpolation method/radial basis functions/support domain/shape parameter calibration

分类

数理科学

引用本文复制引用

禹忠,杨刘伟,柯熙政..径向点插值法局部形参的改进校准方法[J].电波科学学报,2017,32(4):410-415,6.

基金项目

国家自然科学基金(No.61377080) (No.61377080)

电波科学学报

OA北大核心CSCDCSTPCD

1005-0388

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