Magnetostatics

The Maxwell equation defines the following:

\[ \nabla \times \vec{H} = \vec{j} \]

Material parameters:

\[ \vec{B} = \mu \vec{H} \]

From definition \[ \nabla \times \vec{A} = \vec{B} \]

It results the following equation

\[ \nabla \times (\mu^{-1} \nabla \times \vec{A}) = \vec{j} \]

2D Simulations

Paramagnetism

Diamagnetism