Adaptive FEM--BEM coupling with a Schur complement error indicator

Authors:
Andreas Krebs;Matthias Maischak;Ernst P. Stephan
Affiliations:
Institut für Angewandte Mathematik, Universität Hannover, Welfengarten 1, 30167 Hannover, Germany;BICOM, Brunel University, Uxbridge, UB8 3PH, UK;Institut für Angewandte Mathematik, Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
Venue:
Applied Numerical Mathematics
Year:
2010

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Abstract

In this paper an a-posteriori error estimate for non-linear coupled FEM-BEM equations is derived by using the Steklov-Poincare operator and hierarchical basis techniques. We obtain ''local'' error indicators which are based on two-level subspace decompositions with the additive Schwarz operator. We present an algorithm for adaptive error control which is driven by these error indicators and numerical results are included.