96-7   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen:

A posteriori error estimate for the symmetric coupling of finite elements and boundary elements

In 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.

Mail an Jens Burmeister
[Thu Feb 19 18:56:33 2009]