Higher-order vector finite elements for tetrahedral cells

Author

Savage, J. Scott ; Peterson, Andrew F.

Author_Institution

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

Volume

44

Issue

6

fYear

1996

fDate

6/1/1996 12:00:00 AM

Firstpage

874

Lastpage

879

Abstract

Edge-based vector finite elements are widely used for two-dimensional (2-D) and three-dimensional (3-D) electromagnetic modeling. This paper seeks to extend these low-order elements to higher orders to improve the accuracy of numerical solutions. These elements have relaxed normal-component continuity to prohibit spurious modes, and also satisfy Nedelec´s constraints to eliminate unnecessary degrees of freedom while remaining entirely local in character. Element matrix derivations are given for the first two vector finite element sets. Also, results of the application of these basis functions to cavity resonators demonstrate the superiority of the higher-order elements

Keywords

cavity resonators; finite element analysis; basis functions; cavity resonators; edge elements; element matrices; higher-order vector finite elements; tetrahedral cells; three-dimensional electromagnetic modeling; two-dimensional electromagnetic modeling; Cavity resonators; Closed-form solution; Electromagnetic analysis; Electromagnetic fields; Equations; Finite element methods; Helium; Lead; Resonant frequency; Two dimensional displays;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.506446

Filename

506446