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Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing

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  • A. Carpio
  • M.-L. Rapún

Abstract

This paper is devoted to the reconstruction of objects buried in a medium and their material properties by hybrid topological derivative-gradient based methods. After illustrating the techniques in time-harmonic acoustic problems with different boundary conditions and in electrical impedance tomography problems with continuous Neumann conditions, we extend the hybrid method for a realistic model in tomography where the boundary conditions are given at a discrete set of electrodes.

Suggested Citation

  • A. Carpio & M.-L. Rapún, 2013. "Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-20, September.
    • Handle: RePEc:hin:jnlaaa:816134
    DOI: 10.1155/2013/816134
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