Stable Determination of an Inclusion in an Elastic Body by Boundary Measurements

DOI10.1137/130946307zbMath1301.35206arXiv1306.3349OpenAlexW1993453919MaRDI QIDQ2927866

Michele Di Cristo, Antonino Morassi, Giovanni Alessandrini, Edi Rosset

Publication date: 4 November 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3349

zbMATH Keywords

stabilityinverse problemelastic bodyunique continuationDirichlet-to-Neumann mapboundary measurements

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inverse problems in equilibrium solid mechanics (74G75) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (13)

Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements ⋮ Stable determination of an inhomogeneous inclusion in a layered medium ⋮ On the identification of Lamé parameters in linear isotropic elasticity via a weighted self-guided TV-regularization method ⋮ Dislocations in a layered elastic medium with applications to fault detection ⋮ Elasticity tensor identification in elastic body with thin inclusions: non-coercive case ⋮ Stable Determination of an Inclusion in a Layered Medium with Special Anisotropy ⋮ Stable determination of an inclusion for a class of anisotropic conductivities ⋮ Stable determination of an anisotropic inclusion in the Schrödinger equation from local Cauchy data ⋮ Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves ⋮ Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements ⋮ Inverse problem for elastic body with thin elastic inclusion ⋮ Analysis of a Mogi-type model describing surface deformations induced by a magma chamber embedded in an elastic half-space ⋮ Multifrequency Iterative Methods for the Inverse Medium Scattering Problems in Elasticity

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