This paper presents a 3D body-conforming finite element solution of the time-dependent vector wave equation. The method uses edge elements on tetrahedra for the electric field interpolation. This kind of element is suited to model Maxwell's equations since it only enforces tangential continuity of vector fields. For the discretization of time derivatives we use the Newmark method, which allows obtaining an unconditionally stable scheme with second-order accuracy. The Silver–Müller absorbing boundary condition is employed for the domain truncation in unbounded problems. Numerical results for some examples are provided to validate the presented method.
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Carpes et al. (2000) studied this question.
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