Direct and inverse scalar scattering problems for the Helmholtz equation in \(\mathbb{R}^m\)
type: Item
instance of: scholarly article
title: Direct and inverse scalar scattering problems for the Helmholtz equation in \(\mathbb{R}^m\)
zbMATH Open document ID: 1483.35082
author: Aleksei A. Tsupak
author: Yu G. Smirnov
publication date: 2022-02-14T00:00:00Z
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 45A05
zbMATH DE Number: 7472949
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: boundary value problem
zbMATH Keywords: integral equation
MaRDI profile type: Publication
full work available at URL: jiip-2020-0060
OpenAlex ID: W3108563959
cites work: Q5318420
cites work: Q3999255
cites work: Inverse acoustic and electromagnetic scattering theory
cites work: Boundary Integral Operators on Lipschitz Domains: Elementary Results
cites work: Direct methods of solving multidimensional inverse hyperbolic problems.
cites work: An introduction to the mathematical theory of inverse problems
cites work: The operator equations of Lippmann–Schwinger type for acoustic and electromagnetic scattering problems inL2
cites work: Globally Strictly Convex Cost Functional for a 1-D Inverse Medium Scattering Problem with Experimental Data
cites work: Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data
cites work: Two-step method for solving inverse problem of diffraction by an inhomogenous body
cites work: Non-iterative two-step method for solving scalar inverse 3D diffraction problem
cites work: The two-step method for determining a piecewise-continuous refractive index of a 2D scatterer by near field measurements
cites work: Q5679204
cites work: Q3754464
cites work: Determination of permittivity of an inhomogeneous dielectric body in a waveguide
cites work: Investigation of electromagnetic wave diffraction from an inhomogeneous partially shielded solid
cites work: On the uniqueness of a solution to an inverse problem of scattering by an inhomogeneous solid with a piecewise Hölder refractive index in a special function class
cites work: Q3900552
cites work: Q5638625
cites work: Finite-element contrast source inversion method for microwave imaging
DOI: 10.1515/JIIP-2020-0060
published in: Journal of Inverse and Ill-posed Problems
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description: scientific article; zbMATH DE number 7472949