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Volume 6, Issue 4
Symmetric Energy-Conserved Splitting FDTD Scheme for the Maxwell's Equations

Wenbin Chen, Xingjie Li & Dong Liang

Commun. Comput. Phys., 6 (2009), pp. 804-825.

Published online: 2009-06

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  • Abstract

In this paper, a new symmetric energy-conserved splitting FDTD scheme (symmetric EC-S-FDTD) for Maxwell's equations is proposed. The new algorithm inherits the same properties of our previous EC-S-FDTDI and EC-S-FDTDII algorithms: energy-conservation, unconditional stability and computational efficiency. It keeps the same computational complexity as the EC-S-FDTDI scheme and is of second-order accuracy in both time and space as the EC-S-FDTDII scheme. The convergence and error estimate of the symmetric EC-S-FDTD scheme are proved rigorously by the energy method and are confirmed by numerical experiments.

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@Article{CiCP-6-804, author = {Wenbin Chen, Xingjie Li and Dong Liang}, title = {Symmetric Energy-Conserved Splitting FDTD Scheme for the Maxwell's Equations}, journal = {Communications in Computational Physics}, year = {2009}, volume = {6}, number = {4}, pages = {804--825}, abstract = {

In this paper, a new symmetric energy-conserved splitting FDTD scheme (symmetric EC-S-FDTD) for Maxwell's equations is proposed. The new algorithm inherits the same properties of our previous EC-S-FDTDI and EC-S-FDTDII algorithms: energy-conservation, unconditional stability and computational efficiency. It keeps the same computational complexity as the EC-S-FDTDI scheme and is of second-order accuracy in both time and space as the EC-S-FDTDII scheme. The convergence and error estimate of the symmetric EC-S-FDTD scheme are proved rigorously by the energy method and are confirmed by numerical experiments.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7707.html} }
TY - JOUR T1 - Symmetric Energy-Conserved Splitting FDTD Scheme for the Maxwell's Equations AU - Wenbin Chen, Xingjie Li & Dong Liang JO - Communications in Computational Physics VL - 4 SP - 804 EP - 825 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7707.html KW - AB -

In this paper, a new symmetric energy-conserved splitting FDTD scheme (symmetric EC-S-FDTD) for Maxwell's equations is proposed. The new algorithm inherits the same properties of our previous EC-S-FDTDI and EC-S-FDTDII algorithms: energy-conservation, unconditional stability and computational efficiency. It keeps the same computational complexity as the EC-S-FDTDI scheme and is of second-order accuracy in both time and space as the EC-S-FDTDII scheme. The convergence and error estimate of the symmetric EC-S-FDTD scheme are proved rigorously by the energy method and are confirmed by numerical experiments.

Wenbin Chen, Xingjie Li and Dong Liang. (2009). Symmetric Energy-Conserved Splitting FDTD Scheme for the Maxwell's Equations. Communications in Computational Physics. 6 (4). 804-825. doi:
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