Domain sensitivity analysis of the acoustic far-field pattern

DOI10.1002/mma.305zbMath1007.35102OpenAlexW2077356683MaRDI QIDQ4539451

Fioralba Cakoni, Marius Bochniak

Publication date: 8 July 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.305

zbMATH Keywords

Helmholtz equationcorner pointsinverse scattering problemssingular behaviouracoustic far-field patterndomain sensitivity analysis

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Shape derivatives in Kondratiev spaces for conical diffraction ⋮ Newton's method for inverse obstacle scattering of buried objects ⋮ Domain sensitivity analysis of the elastic far-field patterns in scattering from nonsmooth obstacles

Cites Work

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• Frechet derivatives in inverse obstacle scattering
• Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain
• Inverse acoustic and electromagnetic scattering theory

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