A source problem for the Helmholtz equation via a Dirichlet-to-Neumann map

DOI10.1155/2021/2298192zbMath1482.35078OpenAlexW3194254476MaRDI QIDQ2664841

Kuo-Ming Lee

Publication date: 18 November 2021

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/2298192

zbMATH Keywords

boundary integral equation methodharmonic acoustic wave

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral operators (45P05) Inverse problems for integral equations (45Q05)

Cites Work

• Inverse scattering problem from an impedance obstacle via two-steps method
• A nonlinear integral equation and an iterative algorithm for an inverse source problem
• The solution of the non-homogeneous Helmholtz equation by means of the boundary element method
• Linear integral equations.
• Inverse acoustic and electromagnetic scattering theory.
• Transmission scattering problem via a DtN map
• Acoustic Scattering by Inhomogeneous Obstacles
• Multiple scattering of sound
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