Revealing cracks inside conductive bodies by electric surface measurements

DOI10.1088/1361-6420/aaf273zbMath1408.74025arXiv1807.01538OpenAlexW3104924944MaRDI QIDQ4646435

Samuli Siltanen, Andreas Hauptmann, Masaru Ikehata, Hiromichi Itou

Publication date: 14 January 2019

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01538

zbMATH Keywords

Kelvin transformenclosure methodconductivity equationinverse crack problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Brittle fracture (74R10) Electromagnetic effects in solid mechanics (74F15) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (8)

Application of MUSIC algorithm for a fast identification of small perfectly conducting cracks in limited-aperture inverse scattering problem ⋮ Shape derivative for penalty-constrained nonsmooth-nonconvex optimization: cohesive crack problem ⋮ Inverse problem of shape identification from boundary measurement for Stokes equations: shape differentiability of Lagrangian ⋮ Fast identification of short, linear perfectly conducting cracks in a bistatic measurement configuration ⋮ Lagrangian approach and shape gradient for inverse problem of breaking line identification in solid: contact with adhesion ⋮ Extracting discontinuity using the probe and enclosure methods ⋮ Inverse problem of breaking line identification by shape optimization ⋮ A regularization method based on level-sets for the problem of crack detection from electrical measurements

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