Hanging variables in finite element time domain method with hexahedral edge elements

Author

Venkatarayalu, Neelakantam ; Lee, Robert ; Gan, Yeow Beng ; Li, Le-Wei

Author_Institution

Temasek Lab., Nat. Univ. of Singapore

fYear

2006

fDate

Feb. 27 2006-March 3 2006

Firstpage

184

Lastpage

187

Abstract

Treatment of hanging variables for nested rectangular and hexahedral elements is formulated. The Galerkin-type treatment that involves the construction of intergrid boundary operator leads to symmetric mass and stiffness matrices, otimes-method is used for the temporal discretization in the finite element time domain method. The conditions for numerical stability of both implicit and explicit FETD method with hanging variables is obtained via analysis of the spectral properties of the resulting finite element matrices. Numerical examples confirm the stability of the proposed treatment hanging variables

Keywords

Galerkin method; finite element analysis; matrix algebra; numerical stability; rectangular waveguides; time-domain analysis; waveguide theory; FETD method; Galerkin-type treatment; finite element time domain method; hanging variables; hexahedral edge elements; numerical stability; otimes-method; stiffness matrices; symmetric mass; temporal discretization; Adaptive mesh refinement; Electromagnetic compatibility; Error analysis; Error correction; Finite element methods; Laboratories; Numerical stability; Spectral analysis; Symmetric matrices; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetic Compatibility, 2006. EMC-Zurich 2006. 17th International Zurich Symposium on

Conference_Location

Singapore

Print_ISBN

3-9522990-3-0

Type

conf

DOI

10.1109/EMCZUR.2006.214900

Filename

1629590