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Published in 2018 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-017-9550-z
Abstract: In this work we consider the inverse elastic scattering problem by an inclusion in two dimensions. The elastic inclusion is placed in an isotropic homogeneous elastic medium. The inverse problem, using the third Betti’s formula… read more here.
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Published in 2019 at "Computational Mathematics and Modeling"
DOI: 10.1007/s10598-019-09449-8
Abstract: We consider the inverse scattering problem in a homogeneous nonstationary one-dimensional medium for a system of acoustic equations. A class of boundary sources is identified for which the problem of determining the time-dependent density is… read more here.
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Published in 2017 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-015-0285-5
Abstract: We consider the inverse scattering problem of determining the shape and position of a thin dielectric infinite cylinder having an open arc as cross section from the knowledge of the related far field data. The… read more here.
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Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2016.11.009
Abstract: In this paper, a numerical method is proposed to approximate the solution of a two-dimensional scattering problem of time-harmonic elastic wave from a rigid obstacle. By Helmholtz decomposition, the scattering problem is reduced to a… read more here.
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Published in 2019 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2019.03.010
Abstract: Abstract We consider the scattering problem for the nonlinear Schrodinger equation with a potential in two space dimensions. Appropriate resolvent estimates are proved and applied to estimate the operator A ( s ) appearing in… read more here.
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Published in 2018 at "Applicable Analysis"
DOI: 10.1080/00036811.2017.1295448
Abstract: Abstract This paper is concerned with the scattering problem of time-harmonic acoustic waves by a bounded, sound soft obstacle in two dimensions. We apply the exact Dirichlet-to-Neumann map on the boundary to reformulate this exterior… read more here.
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Published in 2020 at "Applicable Analysis"
DOI: 10.1080/00036811.2020.1819533
Abstract: In this paper, we consider an inverse conductive scattering problem for the Helmholtz equation from measurements on the outer boundary. We want to seek reconstruction algorithms to detect the numbe... read more here.
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Published in 2018 at "Journal of Earthquake Engineering"
DOI: 10.1080/13632469.2015.1104756
Abstract: The scattering problem of seismic waves is an important issue for studying earthquake engineering. In this paper, the null-field boundary integral equation approach was used in conjunction with degenerate kernels and eigenfunction expansion to solve… read more here.
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Published in 2019 at "JETP Letters"
DOI: 10.1134/s0021364019170090
Abstract: The pre-asymptotic analysis of the multichannel scattering problem for particles with an arbitrary spin and short-range interactions has been presented. The complete operator-valued dependence of the scattered differential flux on the distance to the target… read more here.
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Published in 2021 at "Symmetry"
DOI: 10.3390/sym13061009
Abstract: In this paper, we consider the inverse scattering problem and, in particular, the problem of reconstructing the spectral density associated with the Yukawian potentials from the sequence of the partial-waves fℓ of the Fourier–Legendre expansion… read more here.
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Published in 2019 at "Communications in Computational Physics"
DOI: 10.4208/cicp.2019.js60.01
Abstract: This paper is concerned with the acoustic scattering of a point incident wave by a sound hard obstacle embedded in a two-layered lossy background medium which is separated by an infinite rough surface. Given the… read more here.