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Tangential Magnetic Field Condition

The tangential magnetic field condition is a boundary condition given by

\[ \left. \mathbf{H} \times \mathbf{n} \right|_{\Gamma} = \mathbf{H}_\text{ext}, \]

where \(\mathbf{H}_\text{ext}\) is the user-defined external magnetic field imposed on the boundary \(\Gamma\).