Numerical dispersion of higher order nodal elements in the finite-element method

Author

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

Author_Institution

Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

44

Issue

3

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

317

Lastpage

320

Abstract

The discretization inherent in the finite-element method results in numerical dispersion. This dispersion is investigated for a time-harmonic plane wave propagating through an infinite, two-dimensional, finite-element mesh composed of uniform quadrilateral and triangular elements. The effects on the dispersion due to the propagation direction of the wave, the order of the elements, the node density, and the mesh geometry are studied. Results are given which can serve as a guide in selecting the appropriate element order, node density, and mesh geometry when applying the finite-element method

Keywords

electromagnetic wave propagation; mesh generation; discretization; element order; finite-element method; higher order nodal elements; infinite two-dimensional finite-element mesh; mesh geometry; node density; numerical dispersion; propagation direction; quadrilateral elements; time-harmonic plane wave; triangular elements; Computer errors; Dispersion; Equations; Finite element methods; Helium; Information geometry; Military computing; Polynomials;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.486299

Filename

486299