Least Squares Finite-Difference Time-Domain

被引：7
|
作者：
de Oliveira, Rodrigo M. S. [1 ]
Paiva, Rodrigo R. [1 ]
机构：
[1] Univ Fed Para UFPA, Inst Tecnol ITEC, BR-66075110 Belem, Para, Brazil
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2021年 / 69卷 / 09期
关键词：
Time-domain analysis; Finite difference methods; Lattices; Maxwell equations; Antennas; Power system stability; Numerical stability; Beyond Courant-Friedrichs-Lewy (CFL) limit; central least-squares finite differences (CLS-FD); explicit methods; finite-difference time-domain (FDTD) method; least-squares finite-difference time-domain (LS-FDTD) method; FDTD METHOD;
D O I：
10.1109/TAP.2021.3069576
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：
A central least-squares spatial derivative procedure is developed. It provides simple formulas, similar to finite differences, to approximate spatial derivatives. In addition, a least-squares finite-difference time-domain (LS-FDTD) method is formulated for attenuating high-frequency nonphysical modes, superimposed to physical solution, produced by Yee's space discretization when the time step is larger than Courant-Friedrichs-Lewy (CFL) limit. The proposed method is successfully validated by solving 1-D and 2-D problems with time steps beyond the FDTD CFL limit. Accuracy and stability conditions are analytically obtained for LS-FDTD.
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页码：6111 / 6115
页数：5
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