Abstract
In this work, a finite element procedure for overlapping meshes based on a domain decomposition approach is presented. In the proposed procedure, solutions on different meshes are connected on the domain interface. For the formulation to connect solutions, the Lagrange multiplier method extended from the Nitsche's method is employed to avoid the limited selection of discretization of the Lagrange multiplier. Further a rectangular mesh on the background of the overlapping meshes is introduced. The interface to connect solutions on overlapping meshes is defined by using jointed cell edges of the background mesh and it is independent to each calculation mesh.
