On the Numerical Dispersion of the Radial Point Interpolation Meshless Method

被引：15

作者：

Yang, Shunchuan ^{[1
,2
]}

Chen, Zhizhang ^{[1
,2
]}

Yu, Yiqiang ^{[1
,2
]}

Ponomarenko, Sergey ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Elect Engn, Chengdu 610051, Peoples R China

[2] Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS B3J 2X4, Canada

来源：

IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS | 2014年 / 24卷 / 10期

关键词：

Finite-difference time-domain (FDTD); meshless; numerical dispersion; radial point interpolation meshless (RPIM); TIME-DOMAIN ELECTROMAGNETICS;

D O I：

10.1109/LMWC.2014.2340696

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：

The numerical dispersion of the time-domain radial point interpolation meshless (RPIM) method is investigated in this letter. It is found that numerical dispersion relationship of RPIM method shares the same form as that of a second-order central finite- difference time-domain method but with the additional factor introduced by the radial basis functions, when i) the two methods deploy the same nodal distribution for problem-domain discretization and ii) the local support domain of the RPIM method is defined to enclose only four adjacent nodes. Such an observation indicates that the RPIM method is a more general method and can be reduced to the conventional finite-difference time-domain method under certain conditions. In addition, comparisons between the meshless method and the finite-difference time-domain method are shown under different conditions.

引用

页码：653 / 655

页数：3

共 50 条

[1] Numerical Dispersion Analysis of Radial Point Interpolation Meshless Method
Zhang, Xiaoyan
Ye, Peng
Chen, Zhizhang
Yu, Yiqiang
[J]. 2017 PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM - FALL (PIERS - FALL), 2017, : 717 - 719
[2] On the Numerical Dispersion of the Radial Point Interpolation Meshless (RPIM) Method in Lossy Media
Zhang, Xiaoyan
Chen, Zhizhang
Yu, Yiqiang
[J]. APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL, 2018, 33 (12): : 1332 - 1339
[3] Pseudospectral Meshless Radial Point Hermit Interpolation Versus Pseudospectral Meshless Radial Point Interpolation
Shivanian, Elyas
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2020, 17 (07)
[4] The Radial Point Interpolation Meshless Method for a Moderately Thick Plate
Hu Weijun
Xia Ping
[J]. INFORMATION AND BUSINESS INTELLIGENCE, PT I, 2012, 267 : 628 - +
[5] A point interpolation meshless method based on radial basis functions
Wang, JG
Liu, GR
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2002, 54 (11) : 1623 - 1648
[6] Numerical simulation of nonlinear coupled Burgers' equation through meshless radial point interpolation method
Jafarabadi, Ahmad
Shivanian, Elyas
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2018, 95 : 187 - 199
[7] Formulation of pseudospectral meshless radial point Hermit interpolation for the Motz problem and comparison to pseudospectral meshless radial point interpolation
Shivanian, Elyas
[J]. MULTIDISCIPLINE MODELING IN MATERIALS AND STRUCTURES, 2020, 16 (01) : 1 - 20
[8] The local radial point interpolation meshless method for solving Maxwell equations
Dehghan, Mehdi
Haghjoo-Saniji, Mina
[J]. ENGINEERING WITH COMPUTERS, 2017, 33 (04) : 897 - 918
[9] The Meshless Radial Point Interpolation Method for Time-Domain Electromagnetics
Kaufmann, Thomas
Fumeaux, Christophe
Vahldieck, Ruediger
[J]. 2008 IEEE MTT-S International Microwave Symposium Digest, Vols 1-4, 2008, : 61 - 64
[10] Mixed basis function for radial point interpolation meshless method in electromagnetics
Afsari, Arman
[J]. JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2015, 29 (06) : 786 - 797

← 1 2 3 4 5 →