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High-Order Error-Optimized FDTD Algorithm With GPU Implementation

Theodoros T. Zygiridis
Department of Informatics and Telecommunications Engineering, University of Western Macedonia, Kozani 50100, Greece
IEEE Transactions on Magnetics, Vol. 49, No. 5, 2013
@article{zygiridis2013high,

   title={High-Order Error-Optimized FDTD Algorithm With GPU Implementation},

   author={Zygiridis, Theodoros T},

   journal={IEEE Transactions on Magnetics},

   volume={49},

   number={5},

   pages={1809},

   year={2013}

}

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This paper presents the development of a two-dimensional (2-D) finite-difference time-domain (FDTD) solver that features reliable calculations and reduced simulation times. The accuracy of computations is guaranteed by specially-designed spatial operators with extended stencils, which are assisted by an optimized version of a high-order leapfrog integrator. Both discretization schemes rely on error-minimization concepts, and a proper least-squares treatment facilitates further control in a wideband sense. Given the parallelization capabilities of explicit FDTD algorithms, considerable speedup compared to serialized CPU calculations is accomplished by implementing the proposed algorithm on a modern graphics processing unit (GPU). As our study shows, the GPU version of our technique reduces computing times by several times, thus confirming its designation as a highly-efficient algorithm.
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