Accuracy limitations of the locally one-dimensional FDTD technique

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URI: http://hdl.handle.net/10902/10029
ISSN: 1536-1225
ISSN: 1548-5757
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Autoría
Grande Sáez, Ana María; Pereda Fernández, José AntonioAutoridad Unican
Fecha
2014-06
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© 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Publicado en
IEEE Antennas and Wireless Propagation Letters, 2014, 13, 1180-1183
Editorial
Institute of Electrical and Electronics Engineers Inc.
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Palabras clave
Alternating direction implicit split-step FDTD methods
Local truncation error
Locally one-dimensional FDTD method
Numerical dispersion
Resumen/Abstract
While the alternating-direction implicit finite-difference time-domain (ADI-FDTD) method preserves the second-order temporal accuracy of the conventional FDTD technique, the locally one-dimensional (LOD)-FDTD method exhibits a first-order in time splitting error. Despite this difference, the numerical dispersion analyses of these methods reveal that both present similar accuracy properties. For this reason, the characteristic noncommutativity error of the LOD-FDTD scheme has not received much attention. In this letter, we determine the closed form of the local truncation error for the 3D-LOD-FDTD scheme. We find that it presents error terms that depend on the time-step size multiplied by the spatial derivatives of the fields. Numerical results confirm that these terms become a significant source of error that is not revealed in the dispersion analyses.
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