Stable methods for solving the inverse scattering problem for a cylinder

DOI10.1017/S0308210500020217zbMath0474.35084OpenAlexW2325090399MaRDI QIDQ3930141

David Colton, Andreas Kirsch

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500020217

zbMATH Keywords

Helmholtz equationinverse scatteringimproperly posed problems

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Theoretical approximation in context of PDEs (35A35)

Related Items (6)

Stable methods for an inverse problem in acoustic scattering by an obstacle and an inhomogeneous medium ⋮ The three dimensional inverse scattering problem for acoustic waves ⋮ A Hilbert space approach to maximum entropy reconstruction ⋮ Integralgleichungsmethoden bei direkten und inversen Randwertproblemen aus der Theorie akustischer und elektromagnetischer Schwingungen ⋮ A stable method for an inverse problem in acoustic scattering by an obstacle with an impedance boundary condition ⋮ Stable methods for determining the surface impedance of an obstacle from low frequency far field data

Cites Work

• The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions
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