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M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius:
"FEM-BEM coupling without stabilization";
Vortrag: 10th Workshop on Fast Boundary Element Methods in Industrial Applications, Hirschegg/Kleinwalsertal; 27.09.2012 - 30.09.2012.

We consider a (possibly) nonlinear interface problem in 2D or 3D, which can be solved by the use of different FEM-BEM coupling methods. In particular, we consider the Johnson-Nedelec coupling, the Bielak-MacCamy coupling and Costabel´s symmetric coupling. We provide a framework to prove that the continuous as well as the discrete Galerkin solutions of these coupling methods additionally solve an appropriate operator equation with a Lipschitz continuous and strongly monotone operator. Therefore, the coupling formulations are well-defined, and the Galerkin solutions are quasi-optimal in the sense of a Cea-type lemma.