二次元有限要素法におけるスプリアス解の発生しない機能性要素

カテゴリ: 論文誌(論文単位)

グループ名: 【B】電力・エネルギー部門

発行日: 2017/03/01

タイトル(英語): Spurious-free Intelligent Elements for Two-dimensional Finite Element Method

著者名: 羽野　光夫（山口大学大学院創成科学研究科 工学系学域電気電子工学分野），岩崎　圭佑（山口大学大学院理工学研究科電子情報システム工学専攻），古田　隆貴（山口大学大学院理工学研究科電子情報システム工学専攻），堀田　昌志（山口大学大学院創成科学研究科 工学系学域電気電子工学分野）

著者名(英語): Mitsuo Hano (Graduate School of Sciences and Technology for Innovation, Department of Electrical and Electronic Engineering, Yamaguchi University), Keisuke Iwasaki (Graduate School of Science and Engineering, Department of Electronic and Information System Engineering, Yamaguchi University), Ryuki Furuta (Graduate School of Science and Engineering, Department of Electronic and Information System Engineering, Yamaguchi University), Masashi Hotta (Graduate School of Sciences and Technology for Innovation, Department of Electrical and Electronic Engineering, Yamaguchi University)

キーワード: 電磁界解析，有限要素法，高次ベクトル要素，形状関数，部分空間　　electromagnetic field analysis，finite element method，higher-order vector elements，shape functions，subspaces

要約(英語): Spurious-free shape functions of triangular and rectangular elements are described in this paper. Complete-type and incomplete-type shape functions of the triangular elements are discussed, and a series of shape functions including Lagrange-type and Serendipity-type functions of the rectangular elements are discussed, too. Unknowns which are incidental to the shape functions are classified according to nodes, edges, and face of the triangular or rectangular element. Intelligent elements are constructed by the nodes, edges, and face whose degrees are different. Spurious-free elements are proposed by establishment of degrees in nodes, edges, and face. Physical eigen values of resonant frequency in a waveguide are calculated by using the suprious-free finite element.

本誌: 電気学会論文誌B（電力・エネルギー部門誌） Vol.137 No.3 （2017） 特集：電力・電気機器関連の電磁界数値解析

本誌掲載ページ: 186-194 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejpes/137/3/137_186/_article/-char/ja/