The MFS for the identification of a sound-soft interior acoustic scatterer

DOI10.1016/j.enganabound.2017.07.021zbMath1403.76152OpenAlexW2740998447WikidataQ59886999 ScholiaQ59886999MaRDI QIDQ1655981

Liviu Marin, Daniel Lesnic, Andreas Karageorghis

Publication date: 10 August 2018

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

Full work available at URL: http://eprints.whiterose.ac.uk/119446/1/kaya.pdf

zbMATH Keywords

inverse problemregularizationacoustic scatteringmethod of fundamental solutionssound-soft scatterer

Mathematics Subject Classification ID

Related Items (9)

Bayesian approach for inverse interior scattering problems with limited aperture ⋮ The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering ⋮ An efficient hybrid collocation scheme for vibro-acoustic analysis of the underwater functionally graded structures in the shallow ocean ⋮ Application of neural networks to inverse elastic scattering problems with near-field measurements ⋮ Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions ⋮ Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation ⋮ A dual-level method of fundamental solutions for three-dimensional exterior high frequency acoustic problems ⋮ 2.5D singular boundary method for exterior acoustic radiation and scattering problems ⋮ A Lagrangian approach for computational acoustics with particle-based method

Uses Software

• Matlab

Cites Work

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• Numerical comparison of two meshfree methods for acoustic wave scattering
• The direct method of fundamental solutions and the inverse Kirsch-Kress method for the reconstruction of elastic inclusions or cavities
• A survey of applications of the MFS to inverse problems
• Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem
• Regularized MFS-Based Boundary Identification in Two-Dimensional Helmholtz-Type Equations
• Uniqueness Theorems for the Inverse Problem of Acoustic Scattering
• Iterative and range test methods for an inverse source problem for acoustic waves
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• A moving pseudo‐boundary method of fundamental solutions for void detection
• Discrete Inverse Problems
• Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern

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