meshing only the big domain covering the small one

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There are two domains in a model . The smaller domain is a real subset of the bigger. In other words, the big domain entirely covers the small one. The two domains form a union. Is there any way to mesh the whole model so that the mesh only considers the big domain as if there were no small domain? In other words, there is no need to refine the mesh at the boundary between the two domains.


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