Closed-form expressions for the numerical dispersion and reflection in FEM simulations involving biaxial materials

Author

Mitchell, Arnan ; Kokotoff, David M. ; Austin, Michael W.

Author_Institution

Dept. of Commun. & Electron. Eng., R. Melbourne Inst. of Technol., Vic., Australia

Volume

49

Issue

2

fYear

2001

fDate

2/1/2001 12:00:00 AM

Firstpage

158

Lastpage

164

Abstract

Closed-form expressions for the numerical errors caused by finite-element discretization of problems involving materials of biaxial permittivity and permeability tensors are developed. In particular, we derive expressions for the numerical dispersion and reflection in both first-order node and edge basis function finite-element formulations in an equilateral triangular mesh. Results using these closed-form expressions are compared to practical numerical simulations. The application of these expressions to the analysis of the performance of the perfectly matched layer boundary is suggested

Keywords

digital simulation; electromagnetic wave reflection; error analysis; finite element analysis; permeability; permittivity; FEM simulations; biaxial materials; biaxial permittivity materials; closed-form expressions; edge basis function; equilateral triangular mesh; finite-element discretization; finite-element formulations; first-order node; numerical dispersion; numerical errors; numerical reflection; numerical simulations; perfectly matched layer boundary; permeability tensors; Boundary conditions; Closed-form solution; Conducting materials; Finite element methods; Integrated optics; Optical materials; Optical reflection; Perfectly matched layers; Permittivity; Tensile stress;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.914259

Filename

914259