The monotonicity method for the inverse crack scattering problem

DOI10.1080/17415977.2020.1733998zbMath1466.74022arXiv1904.03655OpenAlexW3011455640MaRDI QIDQ4991536

Tomohiro Daimon, Takashi Furuya, Ryuji Saiin

Publication date: 3 June 2021

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

Full work available at URL: https://arxiv.org/abs/1904.03655

zbMATH Keywords

Helmholtz equationcrack detectioninverse scattering problemmonotonicity methodfar field operatorartificial operator

Mathematics Subject Classification ID

Brittle fracture (74R10) Wave scattering in solid mechanics (74J20) Inverse problems for waves in solid mechanics (74J25) Numerical and other methods in solid mechanics (74S99)

Related Items (5)

Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities ⋮ The factorization and monotonicity method for the defect in an open periodic waveguide ⋮ Imaging of nonlinear materials via the Monotonicity Principle ⋮ The monotonicity principle for magnetic induction tomography ⋮ Monotonicity Principle in tomography of nonlinear conducting materials ^*

Cites Work

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• A linear sampling method for inverse scattering from an open arc
• Dimension Bounds in Monotonicity Methods for the Helmholtz Equation
• Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography
• Inverse acoustic and electromagnetic scattering theory

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