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Displacement Field Condition

The displacement field condition sets a specific value of the electric displacement field \(\mathbf{D}=\varepsilon\mathbf{E}\) at the selected boundary:

\[\left. \mathbf{D} \right|_{\partial\Omega} = \mathbf{D}_0 \cdot \hat{\mathbf{n}},\]

where \(\partial\Omega\) is the given boundary with the unit normal \(\hat{\mathbf{n}}\) and \(\mathbf{D}_0\) is the desired value of the displacement field.