Analysis of spurious modes in mixed finite element method for Maxwell´s equation with E and H as variables

Author

Chen, Jiefu ; Liu, Qing H. ; Chai, Mei ; Mix, Jason A.

Author_Institution

Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA

fYear

2010

fDate

9-12 May 2010

Firstpage

1

Lastpage

1

Abstract

In this study the formulations of mixed finite element (FEM) method for Maxwell´s equations with E and H as variables are given, and the appearance of spurious modes of this mixed FEM are discussed. Numerical experiments demonstrate that the spurious modes can be eliminated by choosing the interpolation degrees for E different from that for H. This non-spurious mixed FEM scheme can be utilized in both time domain and frequency domain, and it is very suitable for the future implementation of the discontinuous Galekin finite element method (DG-FEM).

Keywords

Galerkin method; Maxwell equations; finite element analysis; frequency-domain analysis; interpolation; time-domain analysis; DG-FEM; FEM method; Maxwell´s equation; discontinuous Galekin finite element method; frequency domain; interpolation degrees; mixed finite element method; spurious modes; time domain; Computational electromagnetics; Current; Eigenvalues and eigenfunctions; Finite element methods; Frequency domain analysis; Interpolation; Magnetic fields; Maxwell equations; Partial differential equations; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on

Conference_Location

Chicago, IL

Print_ISBN

978-1-4244-7059-4

Type

conf

DOI

10.1109/CEFC.2010.5481503

Filename

5481503