Journal
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
Volume 6, Issue 4, Pages 804-825Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.2009.v6.p804
Keywords
Maxwell's equation; ADI method; FDTD; energy-conserved; second-order accuracy; symmetric scheme
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Funding
- National Basic Research Program [2005CB321701]
- 111 project [1308018]
- 'Ministero degli Affari Esteri- Direzione Generale per la Promozione e la Cooperazione Culturale'
- Istituto Nazionale di Alta Maternatica 'Francesco Severi'- Roma
- National Talents Training Base for Basic Research and Teaching of Natural Science of China [J0730103]
- Natural Science Foundation of China [60771054]
- Natural Sciences and Engineering Research Council of Canada
- School of Mathematical Sciences, Fudan University
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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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