Symmetric Energy-Conserved Splitting FDTD Scheme for the Maxwell's Equations

Symmetric Energy-Conserved Splitting FDTD Scheme for the Maxwell's Equations

Year:    2009

Communications in Computational Physics, Vol. 6 (2009), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CiCP-7707

Communications in Computational Physics, Vol. 6 (2009), Iss. 4 : pp. 804–825

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords: