Unconditionally stable finite-difference time-domain methods with high-order accuracy in two and three dimensions

2010 ◽  
Vol 4 (10) ◽  
pp. 1605 ◽  
Author(s):  
Y.D. Kong ◽  
Q.X. Chu
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
High Order ◽  
Three Dimensions ◽  
High Order Accuracy ◽  
Order Accuracy ◽  
Unconditionally Stable ◽  
Difference Time

scholarly journals From Time-Collocated to Leapfrog Fundamental Schemes for ADI and CDI FDTD Methods

Axioms ◽  
2022 ◽  
Vol 11 (1) ◽  
pp. 23
Author(s):  
Eng Leong Tan
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Unconditionally Stable ◽  
Alternating Direction Implicit ◽  
One Dimensional ◽  
Alternating Direction ◽  
Fdtd Methods ◽  
Difference Time

The leapfrog schemes have been developed for unconditionally stable alternating-direction implicit (ADI) finite-difference time-domain (FDTD) method, and recently the complying-divergence implicit (CDI) FDTD method. In this paper, the formulations from time-collocated to leapfrog fundamental schemes are presented for ADI and CDI FDTD methods. For the ADI FDTD method, the time-collocated fundamental schemes are implemented using implicit E-E and E-H update procedures, which comprise simple and concise right-hand sides (RHS) in their update equations. From the fundamental implicit E-H scheme, the leapfrog ADI FDTD method is formulated in conventional form, whose RHS are simplified into the leapfrog fundamental scheme with reduced operations and improved efficiency. For the CDI FDTD method, the time-collocated fundamental scheme is presented based on locally one-dimensional (LOD) FDTD method with complying divergence. The formulations from time-collocated to leapfrog schemes are provided, which result in the leapfrog fundamental scheme for CDI FDTD method. Based on their fundamental forms, further insights are given into the relations of leapfrog fundamental schemes for ADI and CDI FDTD methods. The time-collocated fundamental schemes require considerably fewer operations than all conventional ADI, LOD and leapfrog ADI FDTD methods, while the leapfrog fundamental schemes for ADI and CDI FDTD methods constitute the most efficient implicit FDTD schemes to date.

Perfect plane-wave source for a high-order symplectic finite-difference time-domain scheme

2011 ◽  
Vol 20 (11) ◽  
pp. 114701 ◽  
Author(s):  
Hui Wang ◽  
Zhi-Xiang Huang ◽  
Xian-Liang Wu ◽  
Xin-Gang Ren
Keyword(s):  
Finite Difference ◽  
Plane Wave ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
High Order ◽  
Wave Source ◽  
Difference Time
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