Small volume asymptotics for anisotropic elastic inclusions

From MaRDI portal
Publication:2429317

DOI10.3934/ipi.2012.6.1zbMath1238.35152OpenAlexW2325015903MaRDI QIDQ2429317

Elisa Francini, Anna L. Mazzucato, Eric Bonnetier, Elena Beretta

Publication date: 24 April 2012

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

Full work available at URL: https://doi.org/10.3934/ipi.2012.6.1




Related Items (15)

A thick‐point approximation of a small body embedded in an elastic medium: justification with an asymptotic analysisTopological derivatives of shape functionals. I: Theory in singularly perturbed geometrical domainsUniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurementsAsymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic TomographyAn asymptotic expansion for perturbations in the displacement field due to the presence of thin interfacesMulti-scale asymptotic expansion for a small inclusion in elastic mediaA first-order adjoint and a second-order hybrid method for an energy output least-squares elastography inverse problem of identifying tumor locationThe topological derivative of stress-based cost functionals in anisotropic elasticityTopological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspectsSmall perturbations of an interface for elastostatic problemsThe topological ligament in shape optimization: a connection with thin tubular inhomogeneitiesAn Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse ScatteringSmall perturbations in the type of boundary conditions for an elliptic operatorThe topological gradient in anisotropic elasticity with an eye towards lightweight designA New Energy Inversion for Parameter Identification in Saddle Point Problems with an Application to the Elasticity Imaging Inverse Problem of Predicting Tumor Location




This page was built for publication: Small volume asymptotics for anisotropic elastic inclusions