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

Research output: Contribution to journalArticle

10 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 languageEnglish
Article number6136760
Pages (from-to)363-366
Number of pages4
JournalIEEE Transactions on Magnetics
Volume48
Issue number2
DOIs
Publication statusPublished - 2012 Feb 1

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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    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. [6136760]. https://doi.org/10.1109/TMAG.2011.2174342