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The core of domain decomposition method (DDM) is that it decomposes the original problem domain into several non-overlapping sub-domains, and solves every sub-domain independently. Since every sub-domain is solved independently by use of direct methods, we make the DDM be a parallelized algorithm. The conformal perfectly matched layer (PML) is introduced to this method for the analysis of electromagnetic scattering problems. This PML is based on a locally-defined complex coordinate transformation which has no explicit dependence on the differential geometric characteristics of the PML-free space interface. The DDM formulation is modified when the interface locates in the PML. We illustrate the application of the proposed approach via several 3D electromagnetic scattering problems.