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A FE/BE coupling for the 3D time-dependent eddy current problem. Part II: a posteriori error estimates and adaptive computations

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Abstract

The discontinuous Galerkin method in time for the coupling of conforming 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 a posteriori error estimates and so justify an adaptive space/time-mesh refinement algorithm for the efficient numerical treatment of the time-dependent eddy current problem.

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Authors and Affiliations

  1. Departamento de Matemáticas y estadística, Universidad del Norte, Barranquilla, Colombia

    Ricardo A. Prato Torres

  2. Institut für Angewandte Mathematik, Gottfried Wilhelm Leibniz Universität Hannover, Hannover, Germany

    Ernst P. Stephan & Florian Leydecker

Authors
  1. Ricardo A. Prato Torres
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  2. Ernst P. Stephan
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  3. Florian Leydecker
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Correspondence to Florian Leydecker.

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Communicated by C.C. Doulglas.

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Prato Torres, R.A., Stephan, E.P. & Leydecker, F. A FE/BE coupling for the 3D time-dependent eddy current problem. Part II: a posteriori error estimates and adaptive computations. Computing 88, 155–172 (2010). https://doi.org/10.1007/s00607-010-0091-2

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  • DOI: https://doi.org/10.1007/s00607-010-0091-2

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