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Identification and Reconstruction of a Small Leak Zone in a Pipe by a Spectral Element Method

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Abstract

This paper deals with the identification of a zone permitting fluid to leak out of a drain. Using the analogy with crack identification by boundary measurements, we give uniqueness and stability results and we propose an algorithm for the numerical solution of the problem. Since the forward problem consists of a mixed boundary value problem with a strong anisotropy, we discretize it by a mortar spectral element method.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, Nicosia, Cyprus

    A. Karageorghis

  2. Laboratoire de Mathématiques LMAM (UMR 7122), Université de Metz , ISGMP, Bâtiment A, Ile du Saulcy, 57045, METZ, France

    Z. Belhachmi & K. Taous

Authors
  1. Z. Belhachmi
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  2. A. Karageorghis
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  3. K. Taous
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Correspondence to Z. Belhachmi.

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Belhachmi, Z., Karageorghis, A. & Taous, K. Identification and Reconstruction of a Small Leak Zone in a Pipe by a Spectral Element Method. J Sci Comput 27, 111–122 (2006). https://doi.org/10.1007/s10915-005-9058-4

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  • DOI: https://doi.org/10.1007/s10915-005-9058-4

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