Finite-element analysis of infinite periodic structures with nonmatching triangulations

Author

Vouvakis, Marinos N. ; Zhao, Kezhong ; Lee, Jin-Fa

Author_Institution

Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA

Volume

42

Issue

4

fYear

2006

fDate

4/1/2006 12:00:00 AM

Firstpage

691

Lastpage

694

Abstract

The distinct feature of the proposed method is the absence of periodic mesh on either sides of periodic boundary condition (PBC) surfaces. The present analysis utilizes a mixed and hybrid finite element formulation that allows the weak enforcement of PBCs on each side of the Floquet cell. The method is based on the "cement" finite element method originally developed for nonoverlapping domain decomposition problems. Results on doubly infinite periodic array radiation are presented

Keywords

boundary-value problems; electromagnetic waves; finite element analysis; periodic structures; Floquet cell; finite element analysis; infinite periodic structures; nonconforming methods; nonmatching triangulations; nonoverlapping domain decomposition; periodic boundary conditions; periodic mesh; Boundary conditions; Electromagnetic scattering; Finite element methods; Frequency selective surfaces; Geometry; Metamaterials; Periodic structures; Phased arrays; Radio frequency; USA Councils; Finite element method; Floquet´s theorem; nonconforming methods; periodic boundary conditions;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2006.872483

Filename

1608300