Integral equation method for acoustic scattering by an inhomogeneous penetrable obstacle in a stratified medium

DOI10.1080/00036811.2014.924111zbMath1304.35461OpenAlexW2076833671WikidataQ58170508 ScholiaQ58170508MaRDI QIDQ2933126

Yuehai Qin, Lihan Liu

Publication date: 10 December 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.924111

zbMATH Keywords

acoustic scatteringintegral equation methodstratified mediuminhomogeneous penetrable obstacle

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

A robust finite difference method for the solutions of singularly perturbed Fredholm integro-differential equations ⋮ An iterative numerical method for Fredholm-Volterra integral equations of the second kind ⋮ Inverse inhomogeneous penetrable obstacle scattering problems in a stratified medium

Cites Work

• Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\)
• Reconstructions from boundary measurements
• Inverse scattering by a multilayered obstacle
• A periodic Faddeev-type solution operator
• Inverse scattering by an inhomogeneous penetrable obstacle in a piecewise homogeneous medium
• On imaging obstacles inside inhomogeneous media
• Uniqueness in the inverse scattering problem in a piecewise homogeneous medium
• A Uniqueness Theorem for an Inverse Scattering Problem in an Exterior Domain
• On recovering obstacles inside inhomogeneities
• Direct and Inverse Obstacle Scattering Problems in a Piecewise Homogeneous Medium
• Inverse problems for partial differential equations

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