The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering

DOI10.1016/j.enganabound.2017.07.005zbMath1403.76084OpenAlexW2740112987WikidataQ59883395 ScholiaQ59883395MaRDI QIDQ1658812

Liviu Marin, Daniel Lesnic, Andreas Karageorghis

Publication date: 15 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/120904/1/AKDLLMr.pdf

zbMATH Keywords

regularizationimpedance boundary conditionmethod of fundamental solutionsinterior inverse scattering

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (7)

An energy gap functional: cavity identification in linear elasticity ⋮ The method of fundamental solutions for the scattering problem of an open cavity ⋮ Application of neural networks to inverse elastic scattering problems with near-field measurements ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation ⋮ Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code ⋮ A neural network method for the inverse scattering problem of impenetrable cavities

Uses Software

• Matlab

Cites Work

• Numerical solution of an inverse obstacle scattering problem with near-field data
• The inverse scattering problem for cavities
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• Qualitative methods in inverse scattering theory. An introduction
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• Inverse acoustic and electromagnetic scattering theory.
• The method of fundamental solutions for scattering and radiation problems.
• The MFS for the identification of a sound-soft interior acoustic scatterer
• A decomposition method for an interior inverse scattering problem
• Near-field imaging of obstacles
• Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem
• An inverse electromagnetic scattering problem for a cavity
• Efficient determination of multiple regularization parameters in a generalized L-curve framework
• Simultaneous numerical determination of a corroded boundary and its admittance
• Newton s method for inverse obstacle scattering meets the method of least squares
• A moving pseudo‐boundary method of fundamental solutions for void detection
• Near-Field Imaging of Interior Cavities
• The factorization method for cavities
• Using fundamental solutions in inverse scattering

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