ON THE USE OF THE RECIPROCITY-GAP FUNCTIONAL IN INVERSE SCATTERING FROM PLANAR CRACKS
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Publication:5711083
DOI10.1142/S0218202505000819zbMath1081.78011OpenAlexW2158291799WikidataQ56519851 ScholiaQ56519851MaRDI QIDQ5711083
Houssem Haddar, Amel Ben Abda, Fabrice Delbary
Publication date: 9 December 2005
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202505000819
Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Related Items (3)
Planar crack identification in 3D linear elasticity by the reciprocity gap method ⋮ Crack identification with incomplete boundary data in linear elasticity by the reciprocity gap method ⋮ Qualitative Indicator Functions for Imaging Crack Networks Using Acoustic Waves
Cites Work
- Reciprocity principle and crack identification in transient thermal problems
- Uniqueness for the determination of sound-soft defects in an inhomogeneous planar medium by acoustic boundary measurements
- Inverse scattering from an open arc
- On inverse scattering by screens
- The linear sampling method for cracks
- The inverse electromagnetic scattering problem for screens
- Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
- Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves
- Identification of planar cracks by complete overdetermined data: inversion formulae
- Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data
- A linear sampling method for inverse scattering from an open arc
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