A Time-Domain Meshless Method Without Discretization in Time

被引：1
作者：
Wang, Jun-Feng [1 ]
Chen, Zhizhang [1 ,2 ]
Peng, Cheng [1 ]
Li, Jinyan [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Elect Sci & Engn, Chengdu 611731, Peoples R China
[2] Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS B3J 2X4, Canada
来源：
IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS | 2020年 / 30卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Analytical solution; discretization in time; eigenmodes; explicit method; node-based meshless method; numerical stability; wave equation; STABLE FDTD METHOD; SPATIAL FINITE-DIFFERENCE; EXPLICIT;
D O I：
10.1109/LMWC.2020.2987733
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 letter, we propose a new time-domain meshless method without discretization in time based on eigenexpansions of numerical solutions. As a result, numerical time-stepping is not required, and its associated errors are eliminated. Analytical solutions of the radial point interpolation meshless (RPIM) method are derived, and the solutions become always stable. In other words, electric and magnetic field values are available at any time, making late-time electromagnetic field analysis convenient and efficient. Numerical experiments are conducted to verify the effectiveness and accuracy of the proposed method.
引用
收藏
页码：545 / 548
页数：4
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