Analysis of topological derivative as a tool for qualitative identification
From MaRDI portal
Publication:5193495
DOI10.1088/1361-6420/ab0b67zbMath1447.35374arXiv1811.10538OpenAlexW3105642946MaRDI QIDQ5193495
Publication date: 20 September 2019
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.10538
Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Related Items (6)
Poroelastic near-field inverse scattering ⋮ Lagrangian approach and shape gradient for inverse problem of breaking line identification in solid: contact with adhesion ⋮ Differential Tomography of Micromechanical Evolution in Elastic Materials of Unknown Micro/Macrostructure ⋮ Laboratory application of sampling approaches to inverse scattering ⋮ An extended direct factorization method for inverse scattering with limited aperture data ⋮ A boundary integral formulation and a topological energy-based method for an inverse 3D multiple scattering problem with sound-soft, sound-hard, penetrable, and absorbing objects
Cites Work
- Unnamed Item
- Unnamed Item
- A qualitative approach to inverse scattering theory
- Qualitative identification of cracks using 3D transient elastodynamic topological derivative: formulation and FE implementation
- Time domain topological gradient and time reversal analogy: an inverse method for ultrasonic target detection
- From imaging to material identification: a generalized concept of topological sensitivity
- The shape and topological optimizations' connection
- Inverse acoustic scattering using high-order small-inclusion expansion of misfit function
- Performance analysis of multi-frequency topological derivative for reconstructing perfectly conducting cracks
- A modified volume integral equation for anisotropic elastic or conducting inhomogeneities: unconditional solvability by Neumann series
- Inverse Scattering Theory and Transmission Eigenvalues
- Acoustic inverse scattering using topological derivative of far-field measurements-based L 2 cost functionals
- Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity
- Stability and Resolution Analysis for a Topological Derivative Based Imaging Functional
- Near-field imaging of scattering obstacles with the factorization method
- Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-dimensional Electromagnetism. Part I: One Step Method
- Stability and Resolution Analysis of Topological Derivative Based Localization of Small Electromagnetic Inclusions
- Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
- Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
- On the Topological Derivative in Shape Optimization
- The Generalized Linear Sampling Method for Limited Aperture Measurements
- Topological sensitivity analysis in fluorescence optical tomography
- Why the high-frequency inverse scattering by topological sensitivity may work
- Time harmonic acoustic scattering in anisotropic media
- Sounding of finite solid bodies by way of topological derivative
This page was built for publication: Analysis of topological derivative as a tool for qualitative identification
