Orthogonalized infinite edge element methodconvergence improvement by orthogonalization of hilbert matrix in infinite edge element method

S. Tamitani; K. Tsuzaki; Shinji Wakao; T. Tokumasu; Y. Takahashi; A. Kameari; H. Igarashi; K. Fujiwara; Y. Ishihara

doi:10.1109/TMAG.2011.2174342

Orthogonalized infinite edge element methodconvergence improvement by orthogonalization of hilbert matrix in infinite edge element method

S. Tamitani, K. Tsuzaki, Shinji Wakao^*, T. Tokumasu, Y. Takahashi, A. Kameari, H. Igarashi, K. Fujiwara, Y. Ishihara

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

This paper proposes an orthogonalization of the Hilbert matrix in element matrices of the infinite edge elements. The validity of the infinite edge element is demonstrated in previous researches, but the Hilbert matrix results in extremely slow convergence in the ICCG method, especially when using higher order expansions. The proposed orthogonalization technique improves the convergence drastically and it makes the infinite elements practical in the electromagnetic FEM analysis of the open boundary problems in quasi-static magnetic fields.

Original language	English
Article number	6136760
Pages (from-to)	363-366
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	48
Issue number	2
DOIs	https://doi.org/10.1109/TMAG.2011.2174342
Publication status	Published - 2012 Feb

Keywords

Improvement of the ICCG convergence
infinite edge element
open boundary
orthogonalization of Hilbert matrix

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2011.2174342

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Tamitani, S., Tsuzaki, K., Wakao, S., Tokumasu, T., Takahashi, Y., Kameari, A., Igarashi, H., Fujiwara, K., & Ishihara, Y. (2012). Orthogonalized infinite edge element methodconvergence improvement by orthogonalization of hilbert matrix in infinite edge element method. IEEE Transactions on Magnetics, 48(2), 363-366. Article 6136760. https://doi.org/10.1109/TMAG.2011.2174342

Tamitani, S, Tsuzaki, K, Wakao, S, Tokumasu, T, Takahashi, Y, Kameari, A, Igarashi, H, Fujiwara, K & Ishihara, Y 2012, 'Orthogonalized infinite edge element methodconvergence improvement by orthogonalization of hilbert matrix in infinite edge element method', IEEE Transactions on Magnetics, vol. 48, no. 2, 6136760, pp. 363-366. https://doi.org/10.1109/TMAG.2011.2174342

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abstract = "This paper proposes an orthogonalization of the Hilbert matrix in element matrices of the infinite edge elements. The validity of the infinite edge element is demonstrated in previous researches, but the Hilbert matrix results in extremely slow convergence in the ICCG method, especially when using higher order expansions. The proposed orthogonalization technique improves the convergence drastically and it makes the infinite elements practical in the electromagnetic FEM analysis of the open boundary problems in quasi-static magnetic fields.",

keywords = "Improvement of the ICCG convergence, infinite edge element, open boundary, orthogonalization of Hilbert matrix",

author = "S. Tamitani and K. Tsuzaki and Shinji Wakao and T. Tokumasu and Y. Takahashi and A. Kameari and H. Igarashi and K. Fujiwara and Y. Ishihara",

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AU - Tamitani, S.

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AU - Wakao, Shinji

AU - Tokumasu, T.

AU - Takahashi, Y.

AU - Kameari, A.

AU - Igarashi, H.

AU - Fujiwara, K.

AU - Ishihara, Y.

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AB - This paper proposes an orthogonalization of the Hilbert matrix in element matrices of the infinite edge elements. The validity of the infinite edge element is demonstrated in previous researches, but the Hilbert matrix results in extremely slow convergence in the ICCG method, especially when using higher order expansions. The proposed orthogonalization technique improves the convergence drastically and it makes the infinite elements practical in the electromagnetic FEM analysis of the open boundary problems in quasi-static magnetic fields.

KW - Improvement of the ICCG convergence

KW - infinite edge element

KW - open boundary

KW - orthogonalization of Hilbert matrix

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Orthogonalized infinite edge element methodconvergence improvement by orthogonalization of hilbert matrix in infinite edge element method

Abstract

Keywords

ASJC Scopus subject areas

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