Hierarchical Curl-Conforming Nédélec Elements for Quadrilateral and Brick Cells

Author

Graglia, Roberto D. ; Peterson, Andrew F.

Author_Institution

Dipt. di Elettron., Politec. di Torino, Turin, Italy

Volume

59

Issue

8

fYear

2011

Firstpage

2766

Lastpage

2773

Abstract

New curl-conforming hierarchical vector basis functions are developed for quadrilateral and hexahedral cells. These bases are constructed from orthogonal polynomials and are shown to maintain superior linear independence as their polynomial order is increased. The procedure for constructing these basis functions is described and general expressions are provided for an arbitrary order.

Keywords

Galerkin method; boundary integral equations; electromagnetic field theory; electromagnetic wave diffraction; electromagnetic wave scattering; polynomials; brick cell; curl-conforming hierarchical vector basis function; hexahedral cell; hierarchical curl-conforming Nedelec element; orthogonal polynomial; quadrilateral cell; Face; Jacobian matrices; Magnetics; Mathematical model; Polynomials; Three dimensional displays; Vectors; Basis functions; Galerkin method; boundary integral equations; curvilinear geometry; electromagnetic analysis; electromagnetic diffraction; electromagnetic scattering; high-order modeling; moment methods; numerical analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2011.2158789

Filename

5784307