Affiliations: [a] Graduate School of Information Science and Technology,
Hokkaido University, Kita, Sapporo, Japan | [b] Taiyo Yuden Co., Takasaki, Japan
Correspondence:
[*]
Corresponding author: Yasuhisa Ito, Graduate School of
Information Science and Technology, Hokkaido University, Kita 14, Nishi 9,
Kita-ku, 060-0814, Sapporo, Japan. Tel.: +81 11 706 6488; Fax: +81 11 706 7670;
E-mail: yasuito@em-si.eng.hokudai.ac.jp
Abstract: This paper presents a non-conforming finite element (FE) method with
tetrahedral elements, which is applied to 3-D shape optimization. In the
present method, continuity of magnetic flux is directly enforced on the
interfaces of different domains in which FE meshes are independently generated.
The slave unknowns in one side which are linearly dependent on the unknowns in
the other side are eliminated. It is shown that the present method yields
accurate solutions to 3-D nonlinear magnetostatic problems. Moreover,
evolutional shape optimization of an inductor is shown to be successfully
carried out using the present method.
Keywords: Finite element method, non-conforming element, genetic algorithm, optimization
