Properties of constitutive matrices for electrostatic and magnetostatic problems

Author

Marrone, Massimiliano

Author_Institution

EMC Lab, Pennsylvania State Univ., University Park, PA, USA

Volume

40

Issue

3

fYear

2004

fDate

5/1/2004 12:00:00 AM

Firstpage

1516

Lastpage

1520

Abstract

Constitutive matrices allow one to write the constitutive relations, in an algebraic form, in some finite-volume-based numerical methods, such as the cell method and the finite integration technique. This paper shows some properties that link a general class of constitutive matrices to the finite-element stiffness matrices. One of these properties can be exploited to provide an alternative sufficient condition for the stability of a generalized finite-difference time-domain algorithm set up by these numerical methods.

Keywords

electrostatics; finite difference time-domain analysis; finite element analysis; finite volume methods; magnetostatics; matrix algebra; cell method; consistency; constitutive matrices; constitutive relations; electrostatic problems; finite integration technique; finite-difference time-domain; finite-element stiffness matrices; finite-volume-based numerical; magnetostatic problems; stability; Current; Electrostatics; Equations; Finite element methods; Magnetic flux; Magnetic materials; Magnetic properties; Magnetostatics; Stability; Voltage; Cell method; consistency; constitutive matrices; stability;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.827175

Filename

1298921