Analytic shape recovery of an elastic inclusion from elastic moment tensors
type: Item
instance of: scholarly article
title: Analytic shape recovery of an elastic inclusion from elastic moment tensors
author: Daehee Cho
author: Mikyoung Lim
published in: SIAM Journal on Applied Mathematics
publication date: 2025-01-10T00:00:00Z
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 31A10
zbMATH DE Number: 7965189
zbMATH Keywords: Lamé system
zbMATH Keywords: elastic moment tensors
zbMATH Keywords: inverse shape problem
MaRDI profile type: Publication
cites work: Reconstruction of small interface changes of an inclusion from modal measurements. II: The elastic case
cites work: A new optimal control approach for the reconstruction of extended inclusions
cites work: Multistatic imaging of extended targets
cites work: Reconstruction of small inhomogeneities from boundary measurements
cites work: Polarization and moment tensors. With applications to inverse problems and effective medium theory
cites work: Conductivity interface problems. Part I: Small perturbations of an interface
cites work: The generalized polarization tensors for resolved imaging. Part I: Shape reconstruction of a conductivity inclusion
cites work: Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
cites work: Spectral properties of the Neumann–Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system
cites work: Geometric series expansion of the Neumann–Poincaré operator: Application to composite materials
cites work: Inverse Problem for a Planar Conductivity Inclusion
cites work: Analytical shape recovery of a conductivity inclusion based on Faber polynomials
cites work: Boundary value problems for the systems of elastostatics in Lipschitz domains
cites work: Regularity Properties of Solutions to Transmission Problems
cites work: Über polynomische Entwicklungen.
cites work: Series Expansions of the Layer Potential Operators Using the Faber Polynomials and Their Applications to the Transmission Problem
cites work: Identification of elastic inclusions and elastic moment tensors by boundary measurements
cites work: Small perturbations of an interface for elastostatic problems
cites work: Estimates for elliptic systems from composite material
cites work: Q3171593
cites work: Explicit analytic solution for the plane elastostatic problem with a rigid inclusion of arbitrary shape subject to arbitrary far-field loadings
cites work: The Pólya–Szegö matrices in asymptotic models of dilute composites
cites work: Q5820804
DOI: 10.1137/24M1646479
description: scientific article; zbMATH DE number 7965189