An undisturbed

magnetic potential [u.sub.2] = [u.sub.0] was chosen as starting configuration for the iterative process.

Also, the directions of vectors of current density and vector

magnetic potential do not always coincide in the modes close to saturation.

Caption: The boundary elements methods interface in COMSOL Multiphysics helps solve for scalar

magnetic potential and can be used as a standalone interface to model permanent magnets with linear, constant and homogeneous properties.

When the kiln is heated above the Curie temperatures of the grains the latter become demagnetized and as the kiln cools the grains acquire a

magnetic potential.

The first existence results for this kind of problems with a nonsingular

magnetic potential were established in [1].

The auxiliary vector [??] is called

magnetic potential vector [21] and it is related to the sources of the stable current density J which are responsible for generating the magnetic field.

For the model inputs, in addition to real and imaginary SLD properties and roughness for each layer, the magnitude (labelled "SLDm", in the same units as the SLD) and direction of the

magnetic potential vector for a neutron is controllable through the profile plot or the table.

The degrees of freedom for the nodes are the values of the component [a.sub.z] of the vector

magnetic potentialHe then shows by means of an integration by parts that the scalar

magnetic potential [[psi].sub.m] can be rewritten as the potential of a magnetic charge density [[rho].sub.m] = -[[mu].sub.0][nabla] x M plus the potential of the corresponding surface magnetic charge density [[sigma].sub.m] = - [[mu].sub.0][??] x M (he doesn't use subscripts m and, as mentioned above, I am using more modern notation in SI equations, which include the free-space permeability [[mu].sub.0]), such that H = -[nabla][[psi].sub.m] is Maxwell's primary mathematically defined magnetic field (which he appropriately calls the "magnetic force" [1, Art.

The results concerning

magnetic potential as well as phase of

magnetic potential for stochastic problem are given in Table III.

When drive current remains unchanged, the increase of coil turns increases

magnetic potential. This leads magnetic induction intensity to increase at the working air gap, thereby increasing electromagnetic force.