Opuscula Math. 34, no. 1 (2014), 81-96
http://dx.doi.org/10.7494/OpMath.2014.34.1.81

 
Opuscula Mathematica

Problem of detecting inclusions by topological optimization

I. Faye
M. Ndiaye
I. Ly
D. Seck

Abstract. In this paper we propose a new method to detect inclusions. The proposed method is based on shape and topological optimization tools. In fact after presenting the problem, we use topologication optimization tools to detect inclusions in the domain. Numerical results are presented.

Keywords: topological optimization, topological gradient, shape optimization, detection of inclusions, numerical simulations.

Mathematics Subject Classification: 74P05, 74P10, 74P15, 65F30, 49Q10.

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  • I. Faye
  • Université de Bambey, Bp 30 Sénégal
  • Ecole Doctorale de Mathématiques et Informatique, Laboratoire de Mathématique de la Décision et d'Analyse Numérique (L.M.D.A.N) F.A.S.E.G, Bp 16 889 Dakar-Fann, Sénégal
  • M. Ndiaye
  • Université Gaston Berger de Saint Louis
  • Ecole Doctorale de Mathématiques et Informatique, Laboratoire de Mathématique de la Décision et d'Analyse Numérique (L.M.D.A.N) F.A.S.E.G, Bp 16 889 Dakar-Fann, Sénégal
  • I. Ly
  • Ecole Doctorale de Mathématiques et Informatique, Laboratoire de Mathématique de la Décision et d'Analyse Numérique (L.M.D.A.N) F.A.S.E.G, Bp 16 889 Dakar-Fann, Sénégal
  • D. Seck
  • Ecole Doctorale de Mathématiques et Informatique, Laboratoire de Mathématique de la Décision et d'Analyse Numérique (L.M.D.A.N) F.A.S.E.G, Bp 16 889 Dakar-Fann, Sénégal
  • Received: 2012-12-29.
  • Revised: 2013-07-29.
  • Accepted: 2013-09-28.
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Cite this article as:
I. Faye, M. Ndiaye, I. Ly, D. Seck, Problem of detecting inclusions by topological optimization, Opuscula Math. 34, no. 1 (2014), 81-96, http://dx.doi.org/10.7494/OpMath.2014.34.1.81

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