Stable methods for determining the surface impedance of an obstacle from low frequency far field data

DOI10.1080/00036818208839410zbMath0496.65070OpenAlexW2066255055MaRDI QIDQ3960092

David Colton

Publication date: 1982

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818208839410

zbMATH Keywords

improperly posed problemobstaclesurface impedancelow frequencyfirst kindstable methodsinverse scattering problem for acoustic waves

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Inverse problems for PDEs (35R30) Integral representations of solutions to PDEs (35C15) Hydro- and aero-acoustics (76Q05) Integral equations with miscellaneous special kernels (45H05)

Related Items (1)

An inverse acoustic scattering problem for an obstacle with an impedance boundary condition

Cites Work

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• Iterative methods for solving the exterior Dirichlet problem for the Helmholtz equation with applications to the inverse scattering problem for low frequency acoustic waves
• Meromorphic families of compact operators
• The inverse scattering problem for a cylinder
• The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions
• The Determination of the Surface Impedance of an Obstacle from Measurements of the Far Field Pattern
• Stable methods for solving the inverse scattering problem for a cylinder
• Integral Equation Methods in Scattering Theory
• Numerical Differentiation and Regularization

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