Locating Multiple Multipolar Acoustic Sources Using the Direct Sampling Method
From MaRDI portal
Publication:5161417
DOI10.4208/cicp.OA-2018-0020zbMath1473.65275arXiv1801.05584OpenAlexW2964057485WikidataQ128463609 ScholiaQ128463609MaRDI QIDQ5161417
Hongyu Liu, Yukun Guo, Deyue Zhang, Jingzhi Li
Publication date: 29 October 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.05584
Inverse problems in equilibrium solid mechanics (74G75) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Related Items
Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay, Simultaneous recovery of an obstacle and its excitation sources from near-field scattering data, Direct imaging for the moment tensor point sources of elastic waves, Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging, Jointly determining the point sources and obstacle from Cauchy data, On reconstruction of small sources from Cauchy data at a fixed frequency, Direct imaging of inhomogeneities in a 3D shallow ocean waveguide with an icecap, Error estimation to the direct sampling method for the inverse acoustic source problem with multi-frequency data, Modified Tikhonov regularization for identifying several sources, Reconstruction of acoustic sources from multi-frequency phaseless far-field data, Identification of Point-Like Objects with Multifrequency Sparse Data, Numerical schemes to reconstruct three-dimensional time-dependent point sources of acoustic waves, Inverse obstacle scattering for acoustic waves in the time domain, Source Reconstruction with Multifrequency Sparse Scattered Fields, A regularization operator for source identification for elliptic PDEs, Second order asymptotical regularization methods for inverse problems in partial differential equations, Fourier method for reconstructing elastic body force from the coupled-wave field, Reconstruction of multipolar point sources with multi-frequency sparse far field data, Generating geometric body shapes with electromagnetic source scattering techniques, A neural network method for time-dependent inverse source problem with limited-aperture data
Cites Work
- Unnamed Item
- Imaging of buried objects from multi-frequency experimental data using a globally convergent inversion method
- Numerical solution of a coefficient inverse problem with multi-frequency experimental raw data by a globally convergent algorithm
- Hölder stability estimates for some inverse pointwise source problems
- Direct algorithm for multipolar sources reconstruction
- Increasing stability in the inverse source problem with many frequencies
- Two Single-Shot Methods for Locating Multiple Electromagnetic Scatterers
- Locating Multiple Multiscale Electromagnetic Scatterers by a Single Far-Field Measurement
- Fourier method for recovering acoustic sources from multi-frequency far-field data
- An inverse source problem for Helmholtz's equation from the Cauchy data with a single wave number
- Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
- Phaseless Imaging by Reverse Time Migration: Acoustic Waves
- An Inverse Source Problem for Maxwell's Equations in Magnetoencephalography
- Algebraic reconstruction of the general-order poles of a meromorphic function
- Identification of the combination of monopolar and dipolar sources for elliptic equations
- Inverse scattering problems with multi-frequencies
- Direct algorithms for solving some inverse source problems in 2D elliptic equations
- Recovering multiscale buried anomalies in a two-layered medium
- Multilevel Linear Sampling Method for Inverse Scattering Problems
- Acoustic source identification using multiple frequency information
- Nonuniqueness in the inverse source problem in acoustics and electromagnetics
- Optical tomography in medical imaging
- An inverse source problem in potential analysis
- Nonuniqueness in inverse source and scattering problems
- On the non-uniqueness of the inverse MEG problem
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- The unique determination of neuronal currents in the brain via magnetoencephalography
- Reconstruction of extended sources for the Helmholtz equation
- Thermoacoustic tomography with variable sound speed
- Fourier method for solving the multi-frequency inverse source problem for the Helmholtz equation
- Locating Multiple Multiscale Acoustic Scatterers
- A Recursive Algorithm for MultiFrequency Acoustic Inverse Source Problems
- Identification of multipoles via boundary measurements
- Stability estimates for an inverse source problem of Helmholtz’s equation from single Cauchy data at a fixed frequency
- Inverse Source Problem in Nonhomogeneous Background Media
- Application of inverse source concepts to photoacoustic tomography
- An algebraic method for identification of dipoles and quadrupoles
- The inverse source problem for Maxwell's equations
- Inverse source problem in an anisotropic medium by boundary measurements
- Identification of simple poles via boundary measurements and an application of EIT
- Inverse acoustic and electromagnetic scattering theory
- Inverse problems for partial differential equations
