Premium
On the use of the total scalar potential on the numerical solution of fields problems in electromagnetics
Author(s) -
Simkin J.,
Trowbridge C. W.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620140308
Subject(s) - scalar (mathematics) , scalar potential , vector potential , electromagnetics , scalar field , poisson's equation , mathematics , poisson distribution , magnetic potential , numerical analysis , mathematical optimization , mathematical analysis , algorithm , magnetic field , physics , engineering , geometry , mathematical physics , electronic engineering , statistics , quantum mechanics
The paper summarizes the formulation of a set of computer algorithms for the solution of the three‐dimensional non‐linear Poisson field problem. Results are presented that were obtained by applying algorithms to the analysis of two‐dimensional magnetostatic fields. Scalar and vector potentials were used, and it is shown that the convenient single valued scalar potential associated with the induced sources gives severe accuracy problems in permeable regions. The results become as good as those obtained using vector potential if the scalar potential associated with the total field is used for permeable regions. The combination of two scalar potentials has a significant advantage for three‐dimensional problems.