Coupling of local and global quantities in various finite element formulations and its application to electrostatics, magnetostatics and magnetodynamics

Author

Dular, P. ; Legros, W. ; Nicolet, A.

Author_Institution

Dept. of Electr. Eng., Liege Univ., Belgium

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

3078

Lastpage

3081

Abstract

A method for defining global quantities related to fluxes and circulations is proposed in the frame of the finite element method. The definition is in perfect accordance with the discretized weak formulations of the problems. It therefore enables a natural coupling between local and global quantities in various formulations, while keeping a symmetrical matrix for the system, and then is open to the coupling of physical problems. Applications are given for electrostatics, magnetostatics and magnetodynamics

Keywords

electrostatics; finite element analysis; magnetostatics; discretized weak formulations; electric circuit; electrostatics; finite element formulations; global quantities; local quantities; magnetic circulations; magnetic fluxes; magnetodynamics; magnetostatics; natural coupling; symmetrical matrix; Circuit testing; Coupling circuits; Electrostatics; Finite element methods; Magnetic circuits; Magnetic flux; Magnetostatics; Partial differential equations; Symmetric matrices; Voltage;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717720

Filename

717720