Axisymmetric eddy current inspection of highly conducting thin layers via asymptotic models

DOI10.1088/0266-5611/31/11/115005zbMath1334.35333OpenAlexW2511409197MaRDI QIDQ3458215

Houssem Haddar, Zixian Jiang

Publication date: 18 December 2015

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

Full work available at URL: https://hal.inria.fr/hal-01214308/file/ReconstrAsymp.pdf

zbMATH Keywords

asymptotic modelaxisymmetric eddy current inspectionthickness reconstruction of thin layer

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Electro- and magnetostatics (78A30) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items (4)

A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries ⋮ Asymptotic expansions and effective boundary conditions: a short review for smooth and nonsmooth geometries with thin layers ⋮ Equivalent Transmission Conditions for the Time-Harmonic Maxwell Equations in 3D for a Medium with a Highly Conductive Thin Sheet ⋮ Numerical solution of an axisymmetric eddy current model with current and voltage excitations

Uses Software

• FreeFem++

Cites Work

• Approximate models for wave propagation across thin periodic interfaces
• Asymptotic and numerical analysis for Holland and Simpson's thin wire formalism
• Artificial boundary conditions for axisymmetric eddy current probe problems
• Identification of magnetic deposits in 2-D axisymmetric eddy current models via shape optimization
• High order asymptotics for wave propagation across thin periodic interfaces
• Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
• Mesh Generation
• Approximate transmission conditions through a weakly oscillating thin layer
• New development in freefem++
• Reconstruction of the Electromagnetic Field in Layered Media Using the Concept of Approximate Transmission Conditions
• A Unified Analysis of Transmission Conditions for Thin Conducting Sheets in the Time-Harmonic Eddy Current Model
• Matching of asymptotic expansions for waves propagation in media with thin slots II: The error estimates
• Matching of Asymptotic Expansions for Wave Propagation in Media with Thin Slots I: The Asymptotic Expansion

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