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

Betcke, Timo, Bosy, Michał and Burman, Erik (2022) Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection. Numerical Algorithms, 97(3), pp. 997-1019. ISSN (print) 1017-1398

Abstract

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.

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