The H Formulation
For some specific cases, the vector field formulation can be useful. One example is the modeling of superconducting materials that have highly nonlinear electric conductivity. In this case, it is convenient to use the
magnetic field formulation
since the nonlinear constitutive relation between the electric field
E
and the current density
J
can be included naturally. This formulation, referred to as the
H
formulation, is used by
The Magnetic Field Formulation Interface
. Different from
The A Formulation
which solves
Ampère’s law
,
The H Formulation
solves
Faraday’s law
. For more details, see the
Theory for the Magnetic Field Formulation Interface
.