Amel Ben Abda et al 2002 Inverse Problems 18 1057 doi:10.1088/0266-5611/18/4/308
Amel Ben Abda1,5, Moez Kallel2, Juliette Leblond3 and Jean-Paul Marmorat4
Show affiliationsWe are concerned with non-destructive control issues, namely detection and recovery of cracks in a planar (2D) isotropic conductor from partial boundary measurements of a solution to the Laplace–Neumann problem. We first build an extension of that solution to the whole boundary, using constructive approximation techniques in classes of analytic and meromorphic functions, and then use localization algorithms based on boundary computations of the reciprocity gap.
81.70.-q Methods of materials testing and analysis
81.40.Np Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure
35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation (See also 31Axx, 31Bxx)
35R30 Inverse problems (undetermined coefficients, etc.) for PDE
Issue 4 (August 2002)
Received 31 January 2002, in final form 27 May 2002
Published 24 June 2002
Amel Ben Abda et al 2002 Inverse Problems 18 1057
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