On finding a surface crack from boundary measurements

DOI10.1088/0266-5611/11/2/004zbMath0822.35147OpenAlexW2025566958MaRDI QIDQ4833844

Alan R. Elcrat, Octavian Neculoiu, Victor Isakov

Publication date: 22 May 1995

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

Full work available at URL: https://doi.org/10.1088/0266-5611/11/2/004

zbMATH Keywords

uniquenesssurface cracknumerical algorithmSchwarz-Christoffel formulaboundary measurement

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (13)

Crack reconstruction using a level-set strategy ⋮ A Richardson-type iterative approach for identification of delamination boundaries ⋮ Application of MUSIC algorithm for a fast identification of small perfectly conducting cracks in limited-aperture inverse scattering problem ⋮ The enclosure method for an inverse problem arising from a spot welding ⋮ A variational approach to the reconstruction of cracks by boundary measurements ⋮ Determination of surface and interior cracks from electrostatic measurements using Schwarz-Christoffel transformations ⋮ Reconstruction of thin electromagnetic inhomogeneity without diagonal elements of a multi-static response matrix ⋮ Planar crack identification in 3D linear elasticity by the reciprocity gap method ⋮ Revealing cracks inside conductive bodies by electric surface measurements ⋮ Computational identification of interface delaminations in layered composites based on surface measurements ⋮ Homogenization of Poisson's kernel and applications to boundary control ⋮ Calculation of resistances for multiply connected domains using Schwarz-Christoffel transformations ⋮ Conformal mapping and an inverse impedance boundary value problem

This page was built for publication: On finding a surface crack from boundary measurements