Regular polyhedra for storage efficient hybrid FE-BE method

Author

Ahn, Chang-Hoi ; Jeong, Bong-Sik ; Lee, Soo-Young

Author_Institution

Dept. of Electr. Eng., Korea Adv. Inst. of Sci., Seoul, South Korea

Volume

28

Issue

2

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

1716

Lastpage

1719

Abstract

Boundary meshes using regular polyhedra are devised to reduce storage requirements in hybrid FE-BE (finite-element-boundary-element) analysis in three dimensions. Storage reduction rates of the boundary matrix are investigated for five regular polyhedral meshes. The boundary meshes make use of the symmetry of regular polyhedra and reduce storage requirements of the boundary element matrices up to a factor of 90 in the case of a dodecahedron, which may be enough to secure an advantage over the pure element approach. Impedance/admittance matrices also have the same storage reduction, and may be precalculated to form a database for later use. To demonstrate its efficiency, a magnetostatic problem is solved using this dodecahedral mesh and compared with its exact solution

Keywords

boundary-elements methods; finite element analysis; magnetostatics; boundary matrix; dodecahedral mesh; dodecahedron; magnetostatic problem; regular polyhedra; storage efficient hybrid FE-BE method; Admittance; Boundary conditions; Computational efficiency; Databases; Electromagnetic fields; Equations; Finite element methods; Impedance; Sparse matrices;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.124034

Filename

124034