Method to Connect Nonconforming Mesh in 3-D With the Overlapping Method

The overlapping method is a very convenient method to connect nonconforming meshes. It has been already developed in 2-D and in 3-D with hexahedron meshes. In this paper, we propose an extension to 3-D tetrahedron meshes. This extension is not obvious because the elements do not overlap on hedrahedra anymore but on polyhedra. In this paper, we propose a method to overcome that issue. First, the overlapping method is presented and the implementation in a finite-element method calculation code as well. Then, the overlapping method is tested successfully on two examples.