Title :
Source Field Modeling by Mesh Incidence Matrices
Author :
Badics, Zsolt ; Cendes, Zoltan J.
Author_Institution :
Ansoft Corp., Pittsburgh, PA
fDate :
4/1/2007 12:00:00 AM
Abstract :
In this paper, an algorithm using mesh incidence matrices is developed for the fast generation of source magnetic fields. The mesh incidence matrices arise by applying cohomology concepts to the discrete form of the topological laws for source magnetic fields. The algorithm admits a unique and very fast integer Gaussian elimination procedure. The same algorithm is used to generate solenoidal current density in stranded conductors
Keywords :
Gaussian processes; conductors (electric); current density; magnetic fields; matrix algebra; solenoids; cohomology concepts; integer Gaussian elimination methods; mesh incidence matrices; solenoidal current density; source field modeling; source magnetic field generation; Conductors; Current density; Differential equations; Finite element methods; Geometry; Magnetic fields; Magnetostatics; Maxwell equations; Sparse matrices; Vectors; Current vector potential; finite-element methods; mesh incidence matrices; source magnetic field modeling; stranded conductors;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2006.890967
