An investigation of numerical dispersion in the vector finite element method using quadrilateral elements

Author

Warren, Gregory S. ; Scott, Waymond R., Jr.

Author_Institution

Electromagn. & Reliability Directorate, Rome Lab., Hanscom AFB, MA, USA

Volume

42

Issue

11

fYear

1994

fDate

11/1/1994 12:00:00 AM

Firstpage

1502

Lastpage

1508

Abstract

The discretization inherent in the vector finite element method results in the numerical dispersion of a propagating wave. The numerical dispersion of a time-harmonic plane wave propagating through an infinite, two-dimensional, vector finite element mesh composed of uniform quadrilateral elements is investigated. The effects on the numerical dispersion of the propagation direction of the wave, the order of the polynomials used for the basis functions, and the electrical size of the elements are investigated. Simple formulas are presented which are excellent approximations to the exact numerical dispersion. The numerical dispersion is validated by a numerical example

Keywords

mesh generation; polynomials; vectors; waveguide theory; basis functions; discretization; electrical size; infinite two-dimensional vector finite element mesh; numerical dispersion; polynomials; propagating wave; quadrilateral elements; time-harmonic plane wave; vector finite element method; Boundary conditions; Conducting materials; Dispersion; Electromagnetics; Finite element methods; Helium; Laboratories; Magnetics; Polynomials; Vectors;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.362788

Filename

362788