Hi everybody,

I am trying to solve a magnetostic problem with the Finite Element Method. But I have a problem applying tangential boundary conditions for the magentic field.

I solve for the vector potential using this equation:

$ \nabla \times (\frac{1}{\mu} \nabla \times \mathbf{A}) = \mu \mathbf{J} $

in 2d this reduces basically to the scalar laplace equation.

I know want to apply tangential boundary conditions, with mean:

$ \mathbf{n} * \mathbf{B} = \mathbf{n}* (\nabla \times \mathbf{A} ) = 0 $

I have the usual boundary integral:

$ \int_{\Gamma} N \left ( \alpha_{x} \frac{\partial U}{\partial x} n_{x} + \alpha_{y} \frac{\partial U}{\partial y} n_{y} \right ) dS $

But how to I incorporate my boundary conditions into this integral ?

Thanks for the help