Hybrid topological derivative-gradient based methods for nondestructive testing

Carpio Rodríguez, Ana María; Rapún Banzo, María Luisa

Hybrid topological derivative-gradient based methods for nondestructive testing

Download

Carpio200.pdf (5.45 MB)

Official URL

https//doi.org/10.1155/2013/816134

Publication date

2013

Authors

Carpio Rodríguez, Ana María

Rapún Banzo, María Luisa

Publisher

Hindawi

Citations

Exportar

URI

https://hdl.handle.net/20.500.14352/33367

Citation

Carpio Rodríguez, A. M. y Rapún Banzo, M. L. «Hybrid Topological Derivative-Gradient Based Methods for Nondestructive Testing». Abstract and Applied Analysis, vol. 2013, 2013, pp. 1-20. DOI.org (Crossref), https://doi.org/10.1155/2013/816134.

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.