Toward a computational multiresolution analysis for radial point interpolation meshless method

被引：3

作者：

Afsari, Arman ^{[1
]}

Chehrazi, Akram ^{[2
]}

Movahhedi, Masoud ^{[1
]}

机构：

[1] Yazd Univ, Dept Elect & Comp Engn, Yazd, Iran

[2] Shahid Bahonar Univ Kerman, Mahani Inst Math, Kerman, Iran

来源：

INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS | 2015年 / 28卷 / 01期

关键词：

multiresolution analysis; meshless method; partition of unity method; Daubechies' scalingfunctions; shape functions; Shepard's method; ELECTROMAGNETIC-FIELD COMPUTATIONS;

D O I：

10.1002/jnm.1977

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this work, the application of Daubechies' scaling functions (DSFs) in computational engineering, particulary radial point interpolation meshless method (RPIM) in electromagnetic engineering, is studied. This analysis indicates some shortcomings of DSFs in computational engineering. In fact, the DSFs take the role of shape functions in RPIM, but they do not hold some general properties of shape functions. Modifying these shortcomings according to engineering requirements as time consumption rate, new scaling (shape) functions are derived, and testing them into two important classes of electromagnetic problems, that is, incident wave on dielectrics and scatterers, gives good agreement with exact solutions. Copyright (c) 2014 John Wiley & Sons, Ltd.

引用

页码：1 / 20

页数：20

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