Direct Algorithms for Thermal Imaging of Small Inclusions

DOI10.1137/040620266zbMath1236.35201OpenAlexW2033175719MaRDI QIDQ5478169

Ekaterina Iakovleva, Hyeonbae Kang, Kyoungsun Kim, Habib Ammari

Publication date: 30 June 2006

Full work available at URL: https://semanticscholar.org/paper/c49db67279a0258cb5d4438dca13fbf48168f9ae

zbMATH Keywords

heat equationbounded Lipschitz domaintransmission problemthermal imagingsmall inclusionsdirect inversion algorithms

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (11)

On an inverse boundary problem for the heat equation when small heat conductivity defects are present in a material ⋮ An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology ⋮ On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements ⋮ Heat Generation with Plasmonic Nanoparticles ⋮ On the identification of the heat conductivity distribution from partial dynamic boundary measurements ⋮ Expansion Methods ⋮ Cloaking via Mapping for the Heat Equation ⋮ Approximate cloaking for the heat equation via transformation optics ⋮ Estimation of the Heat Conducted by a Cluster of Small Cavities and Characterization of the Equivalent Heat Conduction ⋮ Inverse thermal imaging in materials with nonlinear conductivity by material and shape derivative method ⋮ Identification of deformable droplets from boundary measurements: the case of non-stationary Stokes problem

This page was built for publication: Direct Algorithms for Thermal Imaging of Small Inclusions