The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Este artigo apresenta esquemas FDTD incondicionalmente estáveis e conformes que são baseados no método de domínio de tempo de diferença finita implícita de direção alternada (ADI-FDTD) para modelagem precisa de objetos perfeitamente condutores elétricos (PEC). Os esquemas propostos são formulados no âmbito da notação matriz-vetor da técnica de integração finita (FIT), que permite uma extensão sistemática e consistente da solução de diferenças finitas das equações de Maxwell em grades duais. Como possíveis escolhas de método conformal convergente de segunda ordem, aplicamos os esquemas de célula parcialmente preenchida (PFC) e conformal uniformemente estável (USC) para o método ADI-FDTD. A estabilidade incondicional e as taxas de convergência dos esquemas conformados ADI-FDTD (CADI-FDTD) propostos são verificadas por meio de exemplos numéricos de problemas de guias de ondas.
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Kazuhiro FUJITA, Yoichi KOCHIBE, Takefumi NAMIKI, "Numerical Investigation of Conformal ADI-FDTD Schemes with Second-Order Convergence" in IEICE TRANSACTIONS on Electronics,
vol. E93-C, no. 1, pp. 52-59, January 2010, doi: 10.1587/transele.E93.C.52.
Abstract: This paper presents unconditionally stable and conformal FDTD schemes which are based on the alternating-direction implicit finite difference time domain (ADI-FDTD) method for accurate modeling of perfectly electric conducting (PEC) objects. The proposed schemes are formulated within the framework of the matrix-vector notation of the finite integration technique (FIT), which allows a systematic and consistent extension of finite difference solution of Maxwell's equations on dual grids. As possible choices of second-order convergent conformal method, we apply the partially filled cell (PFC) and the uniformly stable conformal (USC) schemes for the ADI-FDTD method. The unconditional stability and the rates of convergence of the proposed conformal ADI-FDTD (CADI-FDTD) schemes are verified by means of numerical examples of waveguide problems.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E93.C.52/_p
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@ARTICLE{e93-c_1_52,
author={Kazuhiro FUJITA, Yoichi KOCHIBE, Takefumi NAMIKI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Numerical Investigation of Conformal ADI-FDTD Schemes with Second-Order Convergence},
year={2010},
volume={E93-C},
number={1},
pages={52-59},
abstract={This paper presents unconditionally stable and conformal FDTD schemes which are based on the alternating-direction implicit finite difference time domain (ADI-FDTD) method for accurate modeling of perfectly electric conducting (PEC) objects. The proposed schemes are formulated within the framework of the matrix-vector notation of the finite integration technique (FIT), which allows a systematic and consistent extension of finite difference solution of Maxwell's equations on dual grids. As possible choices of second-order convergent conformal method, we apply the partially filled cell (PFC) and the uniformly stable conformal (USC) schemes for the ADI-FDTD method. The unconditional stability and the rates of convergence of the proposed conformal ADI-FDTD (CADI-FDTD) schemes are verified by means of numerical examples of waveguide problems.},
keywords={},
doi={10.1587/transele.E93.C.52},
ISSN={1745-1353},
month={January},}
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TY - JOUR
TI - Numerical Investigation of Conformal ADI-FDTD Schemes with Second-Order Convergence
T2 - IEICE TRANSACTIONS on Electronics
SP - 52
EP - 59
AU - Kazuhiro FUJITA
AU - Yoichi KOCHIBE
AU - Takefumi NAMIKI
PY - 2010
DO - 10.1587/transele.E93.C.52
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E93-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2010
AB - This paper presents unconditionally stable and conformal FDTD schemes which are based on the alternating-direction implicit finite difference time domain (ADI-FDTD) method for accurate modeling of perfectly electric conducting (PEC) objects. The proposed schemes are formulated within the framework of the matrix-vector notation of the finite integration technique (FIT), which allows a systematic and consistent extension of finite difference solution of Maxwell's equations on dual grids. As possible choices of second-order convergent conformal method, we apply the partially filled cell (PFC) and the uniformly stable conformal (USC) schemes for the ADI-FDTD method. The unconditional stability and the rates of convergence of the proposed conformal ADI-FDTD (CADI-FDTD) schemes are verified by means of numerical examples of waveguide problems.
ER -