Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection

In this paper, we discuss a hybridised method for FEM-BEM coupling. The coupling from both sides use a Nitsche-type approach to couple to the trace variable. This leads to a formulation that is robust and flexible with respect to approximation spaces and can easily be combined as a building block with other hybridised methods. Energy error norm estimates and the convergence of Jacobi iterations are proved and the performance of the method is illustrated on some computational examples.

Automated summary

In this paper, a hybrid method for FEM-BEM coupling is discussed. The coupling from both sides uses a Nitsche-type approach to couple to the trace variable. This leads to a formulation that is robust and flexible, and can easily be combined with other hybrid methods.