Accuracy limitations of the locally one-dimensional FDTD technique

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 numeric...

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Autores: Grande Sáez, Ana María, Pereda Fernández, José Antonio|||0000-0002-6347-9237
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/10029
Acceso en línea:http://hdl.handle.net/10902/10029
Access Level:acceso abierto
Palabra clave:Alternating direction implicit split-step FDTD methods
Local truncation error
Locally one-dimensional FDTD method
Numerical dispersion
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spelling Accuracy limitations of the locally one-dimensional FDTD techniqueGrande Sáez, Ana MaríaPereda Fernández, José Antonio|||0000-0002-6347-9237Alternating direction implicit split-step FDTD methodsLocal truncation errorLocally one-dimensional FDTD methodNumerical dispersionWhile 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.This work was supported by the Spanish Ministerio de Economía y Competitividad under projects TEC2010-21496-C03-01 and CONSOLIDER CSD2008-00066 and the subprogram Ramón y Cajal RYC-2010-06922.Institute of Electrical and Electronics Engineers Inc.Universidad de Cantabria20142014-06-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttp://hdl.handle.net/10902/10029IEEE Antennas and Wireless Propagation Letters, 2014, 13, 1180-1183reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/100292026-06-02T12:39:31Z
dc.title.none.fl_str_mv Accuracy limitations of the locally one-dimensional FDTD technique
title Accuracy limitations of the locally one-dimensional FDTD technique
spellingShingle Accuracy limitations of the locally one-dimensional FDTD technique
Grande Sáez, Ana María
Alternating direction implicit split-step FDTD methods
Local truncation error
Locally one-dimensional FDTD method
Numerical dispersion
title_short Accuracy limitations of the locally one-dimensional FDTD technique
title_full Accuracy limitations of the locally one-dimensional FDTD technique
title_fullStr Accuracy limitations of the locally one-dimensional FDTD technique
title_full_unstemmed Accuracy limitations of the locally one-dimensional FDTD technique
title_sort Accuracy limitations of the locally one-dimensional FDTD technique
dc.creator.none.fl_str_mv Grande Sáez, Ana María
Pereda Fernández, José Antonio|||0000-0002-6347-9237
author Grande Sáez, Ana María
author_facet Grande Sáez, Ana María
Pereda Fernández, José Antonio|||0000-0002-6347-9237
author_role author
author2 Pereda Fernández, José Antonio|||0000-0002-6347-9237
author2_role author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Alternating direction implicit split-step FDTD methods
Local truncation error
Locally one-dimensional FDTD method
Numerical dispersion
topic Alternating direction implicit split-step FDTD methods
Local truncation error
Locally one-dimensional FDTD method
Numerical dispersion
description 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.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-06-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10902/10029
url http://hdl.handle.net/10902/10029
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
dc.source.none.fl_str_mv IEEE Antennas and Wireless Propagation Letters, 2014, 13, 1180-1183
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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