Analytical characterization and numerical approximation of interior eigenvalues for impenetrable scatterers from far fields

DOI10.1088/0266-5611/30/4/045006zbMath1296.65149OpenAlexW2094313723MaRDI QIDQ5418610

Publication date: 26 May 2014

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/975cabde771478b30b1684bcdb3d186451e82199

zbMATH Keywords

numerical experiments Helmholtz equation approximation via integral equation of the first kind external and internal eigenproblem of Laplacian scattering from unpenetrable far object spectral problem of far field operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (7)

Improvement of the Inside-Outside Duality Method ⋮ A sharp lower bound for a resonance-counting function in even dimensions ⋮ A novel quantitative inverse scattering scheme using interior resonant modes ⋮ The inside–outside duality for elastic scattering problems ⋮ Numerical Calculation of Interior Transmission Eigenvalues with Mixed Boundary Conditions ⋮ The method of fundamental solutions for computing acoustic interior transmission eigenvalues ⋮ Inside-Outside Duality and the Determination of Electromagnetic Interior Transmission Eigenvalues

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