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

TL;DR

This paper introduces a robust hybrid FEM-BEM coupling method using Nitsche's approach and Calderon projection, providing convergence proofs and demonstrating effectiveness through computational examples.

Contribution

It presents a novel hybrid FEM-BEM coupling framework that is flexible, robust, and easily integrable with other methods, with proven error estimates and iterative convergence.

Findings

Energy error norm estimates are established.

Jacobi iteration convergence is proved.

Method performs well in computational tests.

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.