A simple algorithm for adaptive refinement of tetrahedral meshes combined with edge elements

Author

Olszewski, P. ; Nakata, T. ; Takahashi, N. ; Fujiwara, K.

Author_Institution

Dept. of Electr. Eng., Okayama Univ., Japan

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1898

Lastpage

1901

Abstract

A simple algorithm yielding unique face subdivision patterns of locally refined tetrahedral elements by the Delaunay tessellation process is presented. Due to the numerous advantages of edge elements, the algorithm is combined with the magnetostatic edge element computer code. A comparative analysis of four different error estimates used to locate elements for refinement, including a new one suitable for edge elements, is described. The performance of the proposed algorithm and the effectiveness of the error estimates are demonstrated by means of three-dimensional test problems

Keywords

error analysis; magnetostatics; mesh generation; Delaunay tessellation process; adaptive refinement; edge elements; error estimates; magnetostatic edge element computer code; simple algorithm; tetrahedral meshes; three-dimensional test problems; unique face subdivision patterns; Computer errors; Couplings; Elasticity; Finite element methods; Magnetic analysis; Magnetic field measurement; Magnetic fields; Magnetostatics; Mesh generation; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250778

Filename

250778