Use of barycentric dual grids for the solution of frequency domain problems by FIT

Author

Codecasa, Lorenzo ; Minerva, Vito ; Politi, Marco

Author_Institution

Dipt. di Elettronica e Informazione, Politecnico di Milano, Milan, Italy

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

1414

Lastpage

1419

Abstract

In this paper, the finite integration technique for the approximation of three-dimensional electromagnetic boundary value problems in the frequency domain is formulated for primal grids composed of either oblique parallelepipeds or oblique triangular prisms or tetrahedra, adopting as dual grid the barycentric subdivision of the primal one. Novel constitutive relations are in particular derived assuring solution matrices of symmetric and positive definite type.

Keywords

approximation theory; boundary-value problems; computational electromagnetics; differential equations; finite element analysis; frequency-domain analysis; integration; FIT; approximation; barycentric dual grids; barycentric subdivision; constitutive relations; dual grid; electromagnetic boundary value problems; finite integration technique; frequency domain problems; oblique parallelepipeds; oblique triangular prisms; primal grids; Boundary value problems; Electromagnetic fields; Frequency domain analysis; Helium; Integral equations; Magnetic fields; Magnetic flux; Maxwell equations; Numerical stability; Symmetric matrices;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.824547

Filename

1284687