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A Posteriori Error Estimates for Parameter Identification

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Numerical Mathematics and Advanced Applications

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Summary

In this paper we present an a posteriori error estimator for parameter identification problems governed by partial differential equations. This estimator aims to control the error in parameters due to the discretization by finite elements. It is used in an adaptive mesh refinement algorithm generating a sequence of locally refined meshes for efficient computation of the parameters. Comparison with some heuristic mesh refinement algorithms is done for a simple example inverse problem.

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Author information

Authors and Affiliations

  1. Laboratoire de Mathematiques Appliquees, Université de Pau et des Pays de l’Adour, BP 1155, 64013, Pau Cedex, France

    Roland Becker

  2. Institut fü Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, 69120, Heidelberg, Germany

    Boris Vexler

Authors
  1. Roland Becker
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  2. Boris Vexler
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Editor information

Editors and Affiliations

  1. Faculty of Mathematics and Physics Department of Numerical Mathematics, Charles University Prague, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Miloslav Feistauer , Vít Dolejší , Petr Knobloch  & Karel Najzar , ,  & 

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© 2004 Springer-Verlag Berlin Heidelberg

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Becker, R., Vexler, B. (2004). A Posteriori Error Estimates for Parameter Identification. In: Feistauer, M., Dolejší, V., Knobloch, P., Najzar, K. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18775-9_10

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  • DOI: https://doi.org/10.1007/978-3-642-18775-9_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62288-5

  • Online ISBN: 978-3-642-18775-9

  • eBook Packages: Springer Book Archive

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