Imaging point sources in heterogeneous environments
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Publication:4973549
DOI10.1088/1361-6420/ab3497zbMath1427.35366arXiv1901.07189OpenAlexW2914742256MaRDI QIDQ4973549
Publication date: 28 November 2019
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.07189
inverse problemsHelmholtz equationinverse source problemsstability estimatespoint sourcesnumerical reconstructions
PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Related Items
Recovering simultaneously a potential and a point source from Cauchy data, Determination of piecewise homogeneous sources for elastic and electromagnetic waves, Recovering point sources for the inhomogeneous Helmholtz equation *
Cites Work
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- Inverse source problem for the hyperbolic equation with a time-dependent principal part
- A multi-frequency inverse source problem
- Inverse and ill-posed sources problems
- The inverse problem of electrocardiography: A solution in terms of single- and double-layer sources on the epicardial surface
- Inverse source problems without (pseudo) convexity assumptions
- Hölder stability estimates for some inverse pointwise source problems
- Source identification from line integral measurements and simple atmospheric models
- Wave propagation and time reversal in randomly layered media.
- Array imaging of localized objects in homogeneous and heterogeneous media
- A heat source reconstruction formula from single internal measurements using a family of null controls
- Compressed Remote Sensing of Sparse Objects
- Discovering a Point Source in Unknown Environments
- An inverse source problem for Helmholtz's equation from the Cauchy data with a single wave number
- Real-time reconstruction of time-varying point sources in a three-dimensional scalar wave equation
- An Inverse Source Problem for Maxwell's Equations in Magnetoencephalography
- Transport-Based Imaging in Random Media
- Acoustic source identification using multiple frequency information
- The inverse source problems of magnetostatics and electrostatics
- Locations and strengths of point sources: stability estimates
- Lipschitz stability in inverse parabolic problems by the Carleman estimate
- Reconstruction of a source domain from the Cauchy data
- Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
- Theory and applications of time reversal and interferometric imaging
- Exact Boundary Controllability of Maxwell's Equations in Heterogeneous Media and an Application to an Inverse Source Problem
- Upper and lower estimates in determining point sources in a wave equation
- Recovery of pointwise sources or small inclusions in 2D domains and rational approximation
- A new method for reconstructing electromagnetic inhomogeneities of small volume
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- Analysis of the Response Matrix for an Extended Target
- Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
- Point source identification in nonlinear advection–diffusion–reaction systems
- Increasing stability in an inverse problem for the acoustic equation
- Robust imaging of localized scatterers using the singular value decomposition and ℓ 1 minimization
- Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer
- Experimental validation of a transport-based imaging method in highly scattering environments
- On a global estimate in a linear inverse hyperbolic problem
- Imaging in Randomly Layered Media by Cross-Correlating Noisy Signals
- Interferometric array imaging in clutter
- Inverse source problem in an anisotropic medium by boundary measurements
- Identification of simple poles via boundary measurements and an application of EIT
- Inverse problems for partial differential equations
