96-7 | 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 Poincare--Steklov 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 quasi--uniform 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), 301-322.
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