967  Berichtsreihe des Mathematischen Seminars der Universität Kiel  
Carsten Carstensen:A posteriori error estimate for the symmetric coupling of finite elements and boundary elementsIn this note we study a posteriori error estimates for a model problem in the symmetric coupling of boundary element and finite elements methods. Emphasis is on the use of the PoincareSteklov operator and its discretization which are analyzed in general for both a priori and a posteriori error estimates. Combining arguments from [6] and [9,10] we refine the a posteriori error estimate obtained in [9,10]. For quasiuniform meshes on the boundary, we prove some inequality of a reverse type using techniques from [5] and [36]. This indicates efficiency of the new estimate as illustrated in a numerical example.Bibliographical note: Computing 57 (1996), 301322.

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