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

被引：11

作者：

Tamitani, S. ^{[1
]}

Tsuzaki, K. ^{[1
]}

Wakao, Shinji ^{[1
]}

Tokumasu, T. ^{[2
]}

Takahashi, Y. ^{[3
]}

Kameari, A. ^{[4
]}

Igarashi, H. ^{[5
]}

Fujiwara, K. ^{[3
]}

Ishihara, Y. ^{[3
]}

机构：

[1] Waseda Univ, Tokyo 1698555, Japan

[2] Toshiba Corp Power Syst Co, Yokohama, Kanagawa 2300045, Japan

[3] Doshisha Univ, Kyoto 6100321, Japan

[4] Sci Solut Int Lab Inc, Tokyo 1530065, Japan

[5] Hokkaido Univ, Sapporo, Hokkaido 0600814, Japan

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2012年 / 48卷 / 02期

关键词：

Improvement of the ICCG convergence; infinite edge element; open boundary; orthogonalization of Hilbert matrix; HYBRID FINITE-ELEMENT; FAST MULTIPOLE METHOD; MAGNETIC-FIELD; BOUNDARY;

D O I：

10.1109/TMAG.2011.2174342

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：363 / 366

页数：4

共 11 条

[1] An iterative solution to FEM-BEM algebraic systems for open-boundary electrostatic problems [J].