Integral Equation Methods in Inverse Obstacle Scattering with a Generalized Impedance Boundary Condition

DOI10.1007/978-3-319-72456-0_32zbMath1407.65271OpenAlexW2803363963MaRDI QIDQ4611825

Rainer Kress

Publication date: 22 January 2019

Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-72456-0_32

zbMATH Keywords

inverse obstacle scatteringtime-harmonic acoustic or E-polarized electromagnetic plane waves

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Boundary value problems for PDEs with pseudodifferential operators (35S15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Inverse problems for integral equations (45Q05) Integro-partial differential equations (35R09) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (6)

Numerical solution of a generalized boundary value problem for the modified Helmholtz equation in two dimensions ⋮ Jointly determining the point sources and obstacle from Cauchy data ⋮ Reconstruction of generalized impedance functions for 3D acoustic scattering ⋮ Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization ⋮ An Inverse Parameter Problem with Generalized Impedance Boundary Condition for Two-Dimensional Linear Viscoelasticity ⋮ Reverse time migration for inverse obstacle scattering with a generalized impedance boundary condition

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• Inverse acoustic and electromagnetic scattering theory

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