Unification of the Probe and Singular Sources Methods for the Inverse Boundary Value Problem by the No-Response Test

DOI10.1080/03605300600854282zbMath1110.35107OpenAlexW2092594609MaRDI QIDQ3424254

Mourad Sini, Gen Nakamura, Roland W. E. Potthast

Publication date: 15 February 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300600854282

zbMATH Keywords

conductivity coefficientinverse obstacle probleminclusionprobe methodinterface of discontinuity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (7)

Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators ⋮ A novel quantitative inverse scattering scheme using interior resonant modes ⋮ Detection of point-like scatterers using one type of scattered elastic waves ⋮ The no-response approach and its relation to non-iterative methods for the inverse scattering ⋮ The no response test for the reconstruction of polyhedral objects in electromagnetics ⋮ The identification of a penetrable obstacle with mixed transmission conditions from far field measurements ⋮ Reconstruction of an Impedance Cylinder at Oblique Incidence from the Far-Field Data

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