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In order to improve the CPU time and memory requirements in time-domain modeling of EMC problems, we propose in this paper an original hybridation of different numerical methods. A finite-volume method with unstructured conformal mesh is used to represent the scatterer and its immediate neighborhood with relatively few cells. For the remaining part of the computational domain, classical finite-difference method can be used associated with an efficient boundary condition, for example, the PML formalism. The aim of this communication is to expose the possibility for this particular hybridation to extend scatterers through different media until the PML medium.