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Coupling of Nonconforming Finite Elements and Boundary Elements II: A Posteriori Estimates and Adaptive Mesh-Refinement

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Abstract.

The coupling of nonconforming finite element and boundary element methods was established in Part I of this paper, where quasi-optimal a priori error estimates are provided. In the second part, we establish sharp a posteriori error estimates and so justify adaptive mesh-refining algorithms for the efficient numerical treatment of transmission problems with the Laplacian in unbounded domains.

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Authors and Affiliations

  1. Mathematisches Seminar Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4, D-24098 Kiel, Germany, e-mail: cc@numerik.uni-kiel.de, saf@numerik.uni-kiel.de , , , , , , DE

    C. Carstensen & S. A. Funken

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  1. C. Carstensen
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  2. S. A. Funken
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Received: January 26, 1998; revised February 10, 1999

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Carstensen, C., Funken, S. Coupling of Nonconforming Finite Elements and Boundary Elements II: A Posteriori Estimates and Adaptive Mesh-Refinement. Computing 62, 243–259 (1999). https://doi.org/10.1007/s607-1999-8335-5

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  • DOI: https://doi.org/10.1007/s607-1999-8335-5

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