Title :
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
fDate :
7/1/2000 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
