Fast Transform based Preconditioner for 3D Finite-Difference Frequency-Domain - Application to Waveguides

A. Chabory; B.P. Hon, de; W.H.A. Schilders; A.G. Tijhuis

doi:10.1109/ICEAA.2007.4387477

Fast Transform based Preconditioner for 3D Finite-Difference Frequency-Domain - Application to Waveguides

A. Chabory, B.P. Hon, de, W.H.A. Schilders, A.G. Tijhuis

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

The fields scattered by dielectric objects placed inside metallic waveguides can efficiently be computed via a finite-difference frequency-domain (FDFD) method. This involves large, sparse linear systems of equations that may be solved using preconditioned Krylov-subspace methods. We propose a preconditioner that uses fast discrete trigonometric transforms and is based on a physical approximation. Simulations show significant gain in terms of iteration count and computation time. Moreover, with the new preconditioner, the required number of iterations is independent of the grid size.

Original language	English
Title of host publication	Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy
Editors	R.D. Graglia
Place of Publication	Torino, Italy
Publisher	Politecnico di Torino
Pages	544-547
ISBN (Print)	978-1-424-40766-8
DOIs	https://doi.org/10.1109/ICEAA.2007.4387477
Publication status	Published - 2007
Event	10th International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) - Torino, Italy Duration: 17 Sept 2007 → 21 Sept 2007 Conference number: 10

Conference

Conference	10th International Conference on Electromagnetics in Advanced Applications (ICEAA 2007)
Abbreviated title	ICEAA 2007
Country/Territory	Italy
City	Torino
Period	17/09/07 → 21/09/07

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10.1109/ICEAA.2007.4387477

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Chabory, A., Hon, de, B. P., Schilders, W. H. A., & Tijhuis, A. G. (2007). Fast Transform based Preconditioner for 3D Finite-Difference Frequency-Domain - Application to Waveguides. In R. D. Graglia (Ed.), Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy (pp. 544-547). Politecnico di Torino. https://doi.org/10.1109/ICEAA.2007.4387477

Chabory, A. ; Hon, de, B.P. ; Schilders, W.H.A. et al. / Fast Transform based Preconditioner for 3D Finite-Difference Frequency-Domain - Application to Waveguides. Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy. editor / R.D. Graglia. Torino, Italy : Politecnico di Torino, 2007. pp. 544-547

@inproceedings{09380cc9ad814fc38ec153de8ca5e2be,

title = "Fast Transform based Preconditioner for 3D Finite-Difference Frequency-Domain - Application to Waveguides",

abstract = "The fields scattered by dielectric objects placed inside metallic waveguides can efficiently be computed via a finite-difference frequency-domain (FDFD) method. This involves large, sparse linear systems of equations that may be solved using preconditioned Krylov-subspace methods. We propose a preconditioner that uses fast discrete trigonometric transforms and is based on a physical approximation. Simulations show significant gain in terms of iteration count and computation time. Moreover, with the new preconditioner, the required number of iterations is independent of the grid size.",

author = "A. Chabory and \{Hon, de\}, B.P. and W.H.A. Schilders and A.G. Tijhuis",

year = "2007",

doi = "10.1109/ICEAA.2007.4387477",

language = "English",

isbn = "978-1-424-40766-8",

pages = "544--547",

editor = "R.D. Graglia",

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",

}

Chabory, A, Hon, de, BP , Schilders, WHA & Tijhuis, AG 2007, Fast Transform based Preconditioner for 3D Finite-Difference Frequency-Domain - Application to Waveguides. in RD Graglia (ed.), Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy. Politecnico di Torino, Torino, Italy, pp. 544-547, 10th International Conference on Electromagnetics in Advanced Applications (ICEAA 2007), Torino, Italy, 17/09/07. https://doi.org/10.1109/ICEAA.2007.4387477

Fast Transform based Preconditioner for 3D Finite-Difference Frequency-Domain - Application to Waveguides. / Chabory, A.; Hon, de, B.P.; Schilders, W.H.A. et al.
Proceeding of the 2007 International Conference on Electromagnetics in Advanced Applications (ICEAA 2007) 17-21 September 2007, Torino, Italy. ed. / R.D. Graglia. Torino, Italy: Politecnico di Torino, 2007. p. 544-547.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Fast Transform based Preconditioner for 3D Finite-Difference Frequency-Domain - Application to Waveguides

AU - Chabory, A.

AU - Hon, de, B.P.

AU - Schilders, W.H.A.

AU - Tijhuis, A.G.

N1 - Conference code: 10

PY - 2007

Y1 - 2007

N2 - The fields scattered by dielectric objects placed inside metallic waveguides can efficiently be computed via a finite-difference frequency-domain (FDFD) method. This involves large, sparse linear systems of equations that may be solved using preconditioned Krylov-subspace methods. We propose a preconditioner that uses fast discrete trigonometric transforms and is based on a physical approximation. Simulations show significant gain in terms of iteration count and computation time. Moreover, with the new preconditioner, the required number of iterations is independent of the grid size.

AB - The fields scattered by dielectric objects placed inside metallic waveguides can efficiently be computed via a finite-difference frequency-domain (FDFD) method. This involves large, sparse linear systems of equations that may be solved using preconditioned Krylov-subspace methods. We propose a preconditioner that uses fast discrete trigonometric transforms and is based on a physical approximation. Simulations show significant gain in terms of iteration count and computation time. Moreover, with the new preconditioner, the required number of iterations is independent of the grid size.

U2 - 10.1109/ICEAA.2007.4387477

DO - 10.1109/ICEAA.2007.4387477

M3 - Conference contribution

SN - 978-1-424-40766-8

SP - 544

EP - 547

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

A2 - Graglia, R.D.

PB - Politecnico di Torino

CY - Torino, Italy

T2 - 10th International Conference on Electromagnetics in Advanced Applications (ICEAA 2007)

Y2 - 17 September 2007 through 21 September 2007

ER -

Chabory A, Hon, de BP , Schilders WHA, Tijhuis AG. Fast Transform based Preconditioner for 3D Finite-Difference Frequency-Domain - Application to Waveguides. In Graglia RD, editor, 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. p. 544-547 doi: 10.1109/ICEAA.2007.4387477

Fast Transform based Preconditioner for 3D Finite-Difference Frequency-Domain - Application to Waveguides

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