Discrete Green’s function diakoptics for stable FDTD interaction between multiply-connected domains

B.P. Hon, de; J.M. Arnold

doi:10.1109/ICEAA.2007.4387393

Discrete Green’s function diakoptics for stable FDTD interaction between multiply-connected domains

B.P. Hon, de
, J.M. Arnold

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

6 Citaten (Scopus)

Samenvatting

We have developed FDTD boundary conditions based on discrete Green's function diakoptics for arbitrary multiply-connected 2D domains. The associated Z-domain boundary operator is symmetric, with an imaginary part that can be proved to be positive semi-definite on the upper half of the unit circle in the complex Z-plane. Through Schwarz' exterior formula an integral representation of this operator is obtained that is analytic outside that unit circle. A quadrature-rule based rational approximation of the operator corresponds to a self-consistent finite-lookback scheme in the discretised time domain. This scheme is demonstrably stable, in that only secular, non-growing, source-free solutions remain, which may be suppressed.

Originele taal-2	Engels
Titel	Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy
Redacteuren	R.D. Graglia
Plaats van productie	Torino, Italy
Uitgeverij	Politecnico di Torino
Pagina's	1-4
ISBN van geprinte versie	978-1-424-40766-8
DOI's	https://doi.org/10.1109/ICEAA.2007.4387393
Status	Gepubliceerd - 2007
Evenement	10th International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) - Torino, Italië Duur: 17 sep 2007 → 21 sep 2007 Congresnummer: 10

Congres

Congres	10th International Conference on Electromagnetics in Advanced Applications (ICEAA 2007)
Verkorte titel	ICEAA 2007
Land/Regio	Italië
Stad	Torino
Periode	17/09/07 → 21/09/07
Ander	ICEAA 2007, Torino, Italy

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10.1109/ICEAA.2007.4387393

Citeer dit

Hon, de, B. P., & Arnold, J. M. (2007). Discrete Green’s function diakoptics for stable FDTD interaction between multiply-connected domains. In R. D. Graglia (editor), Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy (blz. 1-4). Politecnico di Torino. https://doi.org/10.1109/ICEAA.2007.4387393

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title = "Discrete Green{\textquoteright}s function diakoptics for stable FDTD interaction between multiply-connected domains",

abstract = "We have developed FDTD boundary conditions based on discrete Green's function diakoptics for arbitrary multiply-connected 2D domains. The associated Z-domain boundary operator is symmetric, with an imaginary part that can be proved to be positive semi-definite on the upper half of the unit circle in the complex Z-plane. Through Schwarz' exterior formula an integral representation of this operator is obtained that is analytic outside that unit circle. A quadrature-rule based rational approximation of the operator corresponds to a self-consistent finite-lookback scheme in the discretised time domain. This scheme is demonstrably stable, in that only secular, non-growing, source-free solutions remain, which may be suppressed.",

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year = "2007",

doi = "10.1109/ICEAA.2007.4387393",

language = "English",

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booktitle = "Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy",

publisher = "Politecnico di Torino",

note = "10th International Conference on Electromagnetics in Advanced Applications (ICEAA 2007), ICEAA 2007 ; Conference date: 17-09-2007 Through 21-09-2007",

}

Hon, de, BP & Arnold, JM 2007, Discrete Green’s function diakoptics for stable FDTD interaction between multiply-connected domains. in RD Graglia (reds.), Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy. Politecnico di Torino, Torino, Italy, blz. 1-4, 10th International Conference on Electromagnetics in Advanced Applications (ICEAA 2007), Torino, Italië, 17/09/07. https://doi.org/10.1109/ICEAA.2007.4387393

Discrete Green’s function diakoptics for stable FDTD interaction between multiply-connected domains. / Hon, de, B.P.; Arnold, J.M.
Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy. reds. / R.D. Graglia. Torino, Italy: Politecnico di Torino, 2007. blz. 1-4.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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AU - Arnold, J.M.

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PY - 2007

Y1 - 2007

N2 - We have developed FDTD boundary conditions based on discrete Green's function diakoptics for arbitrary multiply-connected 2D domains. The associated Z-domain boundary operator is symmetric, with an imaginary part that can be proved to be positive semi-definite on the upper half of the unit circle in the complex Z-plane. Through Schwarz' exterior formula an integral representation of this operator is obtained that is analytic outside that unit circle. A quadrature-rule based rational approximation of the operator corresponds to a self-consistent finite-lookback scheme in the discretised time domain. This scheme is demonstrably stable, in that only secular, non-growing, source-free solutions remain, which may be suppressed.

AB - We have developed FDTD boundary conditions based on discrete Green's function diakoptics for arbitrary multiply-connected 2D domains. The associated Z-domain boundary operator is symmetric, with an imaginary part that can be proved to be positive semi-definite on the upper half of the unit circle in the complex Z-plane. Through Schwarz' exterior formula an integral representation of this operator is obtained that is analytic outside that unit circle. A quadrature-rule based rational approximation of the operator corresponds to a self-consistent finite-lookback scheme in the discretised time domain. This scheme is demonstrably stable, in that only secular, non-growing, source-free solutions remain, which may be suppressed.

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DO - 10.1109/ICEAA.2007.4387393

M3 - Conference contribution

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BT - Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy

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ER -

Hon, de BP, Arnold JM. Discrete Green’s function diakoptics for stable FDTD interaction between multiply-connected domains. In Graglia RD, redacteur, Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy. Torino, Italy: Politecnico di Torino. 2007. blz. 1-4 doi: 10.1109/ICEAA.2007.4387393

Discrete Green’s function diakoptics for stable FDTD interaction between multiply-connected domains

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