Yee‐like schemes on a tetrahedral mesh, with diagonal lumping

SUMMARY 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 "nite di!erence scheme known nowadays as FDTD, or Yee’s scheme. A new approach to the lumping, backed by a speci"c convergence-proof technique, is proposed. Copyright ( 1999 John Wiley & Sons, Ltd.

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