Orthogonalized Infinite Edge Element Method—Convergence Improvement by Orthogonalization of Hilbert Matrix in Infinite Edge Element Method

Author

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

Author_Institution

Waseda Univ., Tokyo, Japan

Volume

48

Issue

2

fYear

2012

Firstpage

363

Lastpage

366

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

Hilbert transforms; computational electromagnetics; finite element analysis; matrix algebra; Hilbert matrix; ICCG method; convergence improvement; electromagnetic FEM analysis; orthogonalized infinite edge element method; quasi-static magnetic fields; Analytical models; Coils; Computational modeling; Convergence; Finite element methods; Iron; Shape; Improvement of the ICCG convergence; infinite edge element; open boundary; orthogonalization of Hilbert matrix;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2011.2174342

Filename

6136760