A generalized tree-cotree gauge for magnetic field computation

Author

Manges, John B. ; Cendes, Zoltan J.

Author_Institution

Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA

Volume

31

Issue

3

fYear

1995

fDate

5/1/1995 12:00:00 AM

Firstpage

1342

Lastpage

1347

Abstract

The discretization of the magnetostatic curl-curl equation using edge-based elements result in a singular matrix equation. As has been shown previously, this matrix may be made nonsingular by eliminating the matrix nullspace. A generalization of this process is presented in this paper that does not require setting field quantities to zero, thus allowing the gauge in vector potential solutions to be set in a more natural way, This process also makes it possible to solve for the electric or magnetic field directly in high frequency applications

Keywords

finite element analysis; magnetic fields; magnetostatics; matrix algebra; trees (mathematics); edge-based elements; generalized tree-cotree gauge; high frequency applications; magnetic field computation; magnetostatic curl-curl equation; matrix nullspace; singular matrix equation; Eigenvalues and eigenfunctions; Equations; Finite element methods; Frequency; Magnetic domains; Magnetic fields; Magnetostatic waves; Matrix converters; Transmission line matrix methods; Tree graphs;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.376275

Filename

376275