Which Potential. A Comparison of the Various Scalar and Vector Potentials for the Numerical Solution of the Non-Linear Poisson Problem

摘要

This paper summarises the formulation and results of a study aimed at deciding which potential definition to select for constructing a set of computer algorithms for the non-linear Poissonian field problem. The two-dimensional magnetostatic case is used in this investigation, and solutions are presented for shielding and motor problems. The choice of a double scalar potential appears to offer the most attractive formulation for extension to three dimensions. The report contains results for the first part of an on-going study which is ultimately to develop an efficient full three dimensional non-linear field computer program. (Atomindex citation 09:381361)