98-25   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen, Stefan A. Funken:

Coupling of mixed finite elements and boundary elements

The symmetric coupling of mixed finite element and boundary element methods is analysed for a model interface problem with the Laplacian. The coupling involves a further continuous ansatz function on the interface to link the discontinuous displacement field to the necessarily continuous boundary ansatz function. Quasi-optimal a priori error estimates and sharp a posteriori error estimates are established which justify adaptive mesh-refining algorithms. Numerical experiments prove the adaptive coupling as an efficient tool for the numerical treatment of transmission problems.

Mathematics Subject Classification (1991): 65N38, 65N15, 65R20, 45L10

Bibliographical note: accepted for publication in IMA J. Numer. Anal.

Keywords: Scoupling of finite elements and boundary elements, mixed finite elements, adaptive algorithms, a posteriori error estimates


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