Systematic construction of three-dimensional ultra high-order Nedelec´s elements

Author

Hano, Mitsuo ; Komatsu, Hiromichi ; Taniguchi, Kenichi

Author_Institution

Dept. of Electr. & Electron. Eng., Yamaguchi Univ., Ube, Japan

Volume

36

Issue

4

fYear

2000

fDate

7/1/2000 12:00:00 AM

Firstpage

1623

Lastpage

1626

Abstract

A new systematic construction of the three-dimensional ultra high-order Nedelec´s elements is presented in this paper. It is proposed that a set of vector basis functions be simply chosen out of irrotational and rotational vector polynomials. Vector shape functions of the element are uniquely derived by the conditions modified from the scalar elements. The significance of the positions and directions of the arrows in the Nedelec´s element is described. The higher order elements are also implemented in a cavity analysis

Keywords

cavity resonators; electromagnetic field theory; finite element analysis; polynomials; cavity analysis; electromagnetic field; finite element method; irrotational vector polynomial; rotational vector polynomial; three-dimensional ultra-high-order Nedelec elements; vector basis function; vector shape function; Dielectrics; Electromagnetic analysis; Electromagnetic fields; Electromagnetic waveguides; Finite element methods; Loaded waveguides; Polynomials; Shape; Transmission line matrix methods; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.877752

Filename

877752