2021/06/09 by Timo Betcke, Michał Bosy, Erik Burman
Computer Science · Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Algorithm #Applied mathematics #Block (permutation group theory) #Convergence (economics) #Coupling (piping) #Dykstra's projection algorithm #Electromagnetic Simulation and Numerical Methods #Finite element method #Geometry #Mathematical analysis #Mathematical optimization #Mathematics #Norm (philosophy) #Numerical methods in engineering #Projection (relational algebra) #Projection method #Structural engineering #Theory of computation #Variable (mathematics) #cs.NA #math.NA
paper · pdf · doi:10.1007/s11075-022-01289-9
published as Numerical Algorithms, 2022
arxiv created 2021/06/09 · openalex publication_date 2022/03/18 · arxiv updated 2022/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.