Finite element eddy current analysis by novel mixed-order vector elements

Issue title: Proceedings of the tenth International Symposium on Applied Electromagnetics and Mechanics ISEM-Tokyo

Article type: Research Article

Authors: Hano, Mitsuo^{a; *} | Miyamura, Takeshi^a | Hotta, Masashi^a

Affiliations: [a] Department of Electrical and Electronic Engineering, Yamaguchi University, Tokiwadai 2-16-1, Ube 755-8611, Japan

Correspondence: [*] Corresponding author: Mitsuo Hano, Fax: +81 836 85 9401; E-mail: hano@po.cc.yamaguchi-u.ac.jp

Abstract: Three-dimensional novel mixed-order tetrahedral elements are systematically constructed and applied to the finite element analysis of electromagnetic fields. The degree of freedoms of the shape functions assigned on the six edges are essentially independent with each other. The shape functions on the faces and in the volume are not orthogonal with those of the edges. So, the tetrahedral elements proposed in this paper have six parameters to define the shape functions. A smooth eddy current flow in the conductor can be obtained, under the condition not to needlessly increase the total number of unknowns.

DOI: 10.3233/JAE-2002-492

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 14, no. 1-4, pp. 19-22, 2002