97-20   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen, Stefan A. Funken:

Coupling of non-conform finite elements and boundary elements I: a priori estimates

Non-conform finite element methods are sometimes considered as a variational crime and so its coupling with boundary element methods could be expected as a variational crime as well. In this paper, the symmetric coupling of non-conform finite elements and boundary elements is established and a priori error estimates are shown. The coupling involves a further continuous layer on the interface in order to separate the non-conformity in the domain from its boundary data which are required to be continuous. Numerical examples prove the new scheme useful in practice.

Bibliographical note: Computing 62 (1999) 229-241

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