Obstacle visualization via the factorization method for the mixed boundary value problem

DOI10.1088/0266-5611/18/6/317zbMath1029.35224OpenAlexW2081433546MaRDI QIDQ4799407

N. I. Grinberg

Publication date: 9 February 2004

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

Full work available at URL: https://doi.org/10.1088/0266-5611/18/6/317

zbMATH Keywords

Helmholtz equationinverse scattering problemminimization algorithmmixed Dirichlet-Robin boundary condition

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (11)

The range test and the no response test for Oseen problems: theoretical foundation ⋮ The factorization method for obstacles with a-priori separated sound-soft and sound-hard parts ⋮ Defect detection using Cauchy data on a part of outer boundary of an elastic body ⋮ Solution for the geometric elastostatic inverse problem by means of not completely overdetermined boundary data ⋮ Monotonicity in inverse obstacle scattering on unbounded domains ⋮ Monotonicity in inverse scattering for Maxwell's equations ⋮ The direct and inverse scattering problems for penetrable and impenetrable mixed obstacles ⋮ Sampling Methods ⋮ Recovery of multiple obstacles by probe method ⋮ The factorization method to reconstruct a combination of penetrable obstacle and arc ⋮ DIRECT AND INVERSE ACOUSTIC SCATTERING BY A COMBINED SCATTERER

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