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

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arxiv 2106.01720 v2 pith:YCDVUNHN submitted 2021-06-03 math.NA cs.NA

classification math.NAcs.NA
keywords couplingmethodelementhybridisedmethodsnitscheapproachapproximation
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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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