Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing

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 tomogra...

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.91-110-1110
Hauptverfasser: Carpio, A., Rapún, M.-L.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/816134