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A point-iterative algorithm for three-dimensional magnetic vector problems

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2 Author(s)
Shaw, J. ; University of Manitoba, Winnipeg, Canada ; Wexler, A.

Magnetostatic field problems are solved in three dimensions by applying a variational method that employs finite elements. Formulation through a partial differential equation allows solution for the magnetic vector potential given an inhomogeneous, orthotropic medium and a distributed current source. Three vector boundary conditions are discussed and interior sheet currents are allowed within the medium. In addition, the Lorentz condition is enforced by including a penalty term in the energy functional. A point-iterative algorithm is used to solve the set of equations resulting from finite element discretization. This method is particularily suitable for regions with regular geometry and a moderate (1,000 to 10,000) number of unknowns.

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Magnetics, IEEE Transactions on  (Volume:18 ,  Issue: 2 )