A new interface condition in the non-overlapping domain decomposition method for the maxwell equations

The performances of the non-overlapping domain decomposition method for the time-harmonic Maxwell equations which was originally proposed by Bruno Després are dramatically improved by means of a new transmission operator, arising from the non-reflecting boundary condition theory, and of a new iteration scheme. The new method is much more effective than the former, both in homogeneous and in heterogenous media, even if, in the second case, some numerical instability is due to the finite element discretization of the equation. The convergence of the new method is proved and some numerical results show the comparison of the performances.