A Galerkin edge-element solution technique for Maxwell's equations in time domain is discussed. With proper diagonal lumping of one of the mass matrices, it can be seen as a generalization to a tetrahedral mesh and its barycentric dual of the staggered-grid finite difference scheme known nowadays as FDTD, or Yee's scheme. A new approach to the lumping, backed by a specific convergence-proof technique, is proposed.
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Bossavit et al. (1999) studied this question.
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