Abstract
In this study an explicit finite difference scheme is developed to solve the Maxwell’s equations in time domain for a lossless medium. From the physical point of view, the hyperbolic system of Maxwell equations shall be discretized explicitly. From the computational point of view, this developed three-dimensional explicit scheme can be more effectively implemented in parallel in CPU/GPU with the Nvidia K-20 card. From the mathematical point of view, symplectic scheme is adopted for the approximation of temporal derivative terms so that all Hamiltonians in Maxwell’s equations can be conserved at all times. Moreover, to predict the long-time accurate solution a phase velocity preserving scheme is developed for the spatial derivative terms so that the chosen time increment and grid spacing can be excellently paired following the employed theoretical guideline. Computational performance will be assessed based on the results obtained from the computed results in one GPU card and in one I7-4820K CPU card.
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Acknowledgments
This work was supported by the Ministry of Science and Technology (MOST) of the Republic of China under the Grants NSC96-2221-E-002-293-MY2, NSC96-2221-E-002-004, and CQSE97R0066-69.
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Sheu, T.W.H. (2016). GPU-Accelerated Simulation of Maxwell’s Equations. In: Singh, V., Srivastava, H., Venturino, E., Resch, M., Gupta, V. (eds) Modern Mathematical Methods and High Performance Computing in Science and Technology. Springer Proceedings in Mathematics & Statistics, vol 171. Springer, Singapore. https://doi.org/10.1007/978-981-10-1454-3_22
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DOI: https://doi.org/10.1007/978-981-10-1454-3_22
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