[Zurück]

M. Aurada, M. Feischl, M. Karkulik, D. Praetorius:
"A Posteriori Error Estimates for the Johnson-Nédélec FEM-BEM Coupling";
in: "ASC Report 18/2011", herausgegeben von: Institute of Analysis and Scientific Computing; Vienna University of Technology, Wien, 2011, ISBN: 978-3-902627-04-9.

Only very recently, Sayas (SIAM J. Numer. Anal. 2009) proved that the Johnson-N´ed´elec one-equation
approach from (Math. Comp. 1980) provides a stable coupling of finite element method (FEM) and boundary
element method (BEM). In our work, we now adapt the analytical results for different a posteriori error
estimates developed for the symmetric FEM-BEM coupling to the Johnson-N´ed´elec coupling. More precisely,
we analyze the weighted-residual error estimator, the two-level error estimator, and different versions of
(h − h/2)-based error estimators. In numerical experiments, we use these estimators to steer h-adaptive
algorithms, and compare the effectivity of the different approaches.

finite element-boundary element coupling, local mesh-refinement, adaptive algorithm

http://www.asc.tuwien.ac.at/preprint/2011/asc18x2011.pdf