@Article{CiCP-6-4, author = {}, 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/2009-CiCP-7707}, url = {https://global-sci.com/article/81171/symmetric-energy-conserved-splitting-fdtd-scheme-for-the-maxwells-equations} }