Yk. Shin et al., NUMERICAL TECHNIQUES FOR SOLVING MAGNETOSTATIC PROBLEMS INVOLVING MOTION AND NONUNIFORM GEOMETRY, IEEE transactions on magnetics, 33(2), 1997, pp. 1161-1166
Numerical techniques to solve moving problems with nonuniform geometry
are presented. Common features of successful techniques are in good a
greement with those of up-winding techniques. They are the evaluation
of motional induction term at the old time level and the introduction
of the same time dependent artificial term. The unsuccessful time step
method is found to be equivalent to the standard Galerkin method whic
h requires mesh refinement. The application of the variable reluctance
probe is studied as an example.