Inverse source problem for discrete Helmholtz equation

Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Green's functions for elliptic equations (35J08)

Cites Work

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Inverse problems, trace formulae for discrete Schrödinger operators
A multi-frequency inverse source problem
Spectral properties of Schrödinger operators on perturbed lattices
Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice
Near-tip field for diffraction on square lattice by rigid constraint
Über die Quantenmechanik der Elektronen in Kristallgittern.
Continuum limit of discrete Sommerfeld problems on square lattice
Hölder stability estimates for some inverse pointwise source problems
Inverse scattering theory for discrete Schrödinger operators on the hexagonal lattice
Multidimensional inverse scattering for the Schrödinger equation
Reconstruction from the Fourier transform on the ball via prolate spheroidal wave functions
Edge diffraction on triangular and hexagonal lattices: existence, uniqueness, and finite section
A remark on Lipschitz stability for inverse problems
Diffraction of waves on square lattice by semi-infinite rigid constraint
Lattice Green's function for the simple cubic and tetragonal lattices at arbitrary points
Reconstruction of acoustic sources from multi-frequency phaseless far-field data
Near-Tip Field for Diffraction on Square Lattice by Crack
Lattice Green's Function for the Simple Cubic Lattice
Radiation conditions for the difference schrödinger operators
Uniqueness of an inverse source problem in experimental aeroacoustics
Acoustic source identification using multiple frequency information
Inverse problem on the line without phase information
Nonuniqueness in inverse source and scattering problems
The phase retrieval problem
Phaseless inverse scattering with background information
Recovering point sources for the inhomogeneous Helmholtz equation ^*
Geometry of the phase retrieval problem
An iterative approach to non-overdetermined inverse scattering at fixed energy
Diffraction of Waves on Square Lattice by Semi-Infinite Crack
Inverse source problem in a forced network
Calculation of the Lattice Green's Function for the bcc, fcc, and Rectangular Lattices
Simplified LCAO Method for the Periodic Potential Problem
Phase recovery from phaseless scattering data for discrete Schrödinger operators
Phase retrieval and phaseless inverse scattering with background information

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