Development and implementation of second and third order vector finite elements in various 3-D electromagnetic field problems

Author

Yioultsis, T.V. ; Tsiboukis, T.D.

Author_Institution

Dept. of Electr. & Comput. Eng., Aristotelian Univ. of Thessaloniki, Greece

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1812

Lastpage

1815

Abstract

A generalized theory of higher order vector finite elements is presented. The methodology, that is introduced, is used for the construction of new second and third order generalizations of the concept of tetrahedral edge elements. Basic theoretical issues about their construction, such as the proper choice and placement of degrees of freedom and the correct modeling of irrotational fields are discussed. The presented theory and methodology are also extended to the hexahedral element case. Some practical problems and difficulties related to the numerical implementation of higher order vector finite elements are also dealt with. Finally, both second and third order elements are successfully implemented in several electromagnetic field or potential formulations

Keywords

electromagnetic fields; finite element analysis; 3D electromagnetic field problems; degrees of freedom; electromagnetic potential formulations; generalized theory; hexahedral element; higher order vector finite elements; irrotational fields modeling; numerical implementation; second order vector finite elements; tetrahedral edge elements; third order vector finite elements; Electromagnetic fields; Finite element methods; Frequency; Mesh generation; Polynomials; Shape; Testing; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582630

Filename

582630