A constructive method for identification of an impenetrable scatterer

DOI10.1016/0165-2125(89)90036-XzbMath0686.65087OpenAlexW2085894169MaRDI QIDQ1262734

Ralph E. Kleinman, G. F. Roach, Thomas S. Angell, Barbara Kok

Publication date: 1989

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(89)90036-x

zbMATH Keywords

algorithmconvergenceHelmholtz equationradiating solutionsidentification of an impenetrable scatterer

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05)

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Cites Work

• The three dimensional inverse scattering problem for acoustic waves
• The Inverse Scattering Problem for Time-Harmonic Acoustic Waves
• An inverse transmission problem for the Helmholtz equation
• The Inverse Problem of Acoustic Scattering
• Newton-Kantorovitch algorithm applied to an electromagnetic inverse problem
• Numerical Solution of Dynamical Optimization Problems
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation
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