Nonlocal impedance conditions in direct and inverse obstacle scattering
DOI10.1088/1361-6420/aaf14ezbMath1407.65270OpenAlexW2900955773WikidataQ128988420 ScholiaQ128988420MaRDI QIDQ4646428
Publication date: 14 January 2019
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/aaf14e
Numerical methods for integral equations (65R20) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for integral equations (65R32) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Surface integral formulation of the interior transmission problem
- An integral method for solving nonlinear eigenvalue problems
- Huygens' principle and iterative methods in inverse obstacle scattering
- A nonlinear integral equation and an iterative algorithm for an inverse source problem
- Inverse scattering for shape and impedance revisited
- A boundary integral equation method for the transmission eigenvalue problem
- Surface gradients and continuity properties for some integral operators in classical scattering theory
- The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media
- The inside–outside duality for inverse scattering problems with near field data
- Transmission Eigenvalues
- The Denseness of the Far Field Patterns for the Transmission Problem
- On Single Integral Equations for the Transmission Problem of Acoustics
- Transmission problems for the Helmholtz equation
- A boundary integral equation for the transmission eigenvalue problem for Maxwell equation
- Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
- Inside-Outside Duality and the Determination of Electromagnetic Interior Transmission Eigenvalues
- The inside–outside duality for scattering problems by inhomogeneous media
- A numerical method to compute interior transmission eigenvalues
- Integral Equation Methods in Scattering Theory
- Nonlinear integral equations and the iterative solution for an inverse boundary value problem
- On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation
- An iterative method for a two-dimensional inverse scattering problem for a dielectric
- Inverse acoustic and electromagnetic scattering theory
