98-5   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen, Stefan A. Funken:

Coupling of non-conform finite elements and boundary elements II: a posteriori estimates and adaptive mesh-refinement

This paper is concerned with the coupling of non-conform finite element and boundary element methods in continuation of Part I (C. Carstensen, S.A. Funken: Coupling of non-conform finite elements and boundary elements I: a priori estimates), where we recast the interface model problem, introduced a coupling scheme and proved a priori error estimates. In this paper, we establish sharp a posteriori error estimates and so justify adaptive mesh-refining algorithms for the efficient numerical treatment oftransmission problems with the Laplacian in unbounded domains.

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

Bibliographical note: Computing 62 (1999) 243-259.

Keywords: coupling of finite elements and boundary elements, non-conform finite elements, adaptive algorithms, a posteriori error estimates


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