Numerical schemes to reconstruct three-dimensional time-dependent point sources of acoustic waves

DOI10.1088/1361-6420/ab8f85zbMath1471.65122arXiv1906.09452OpenAlexW3103803071MaRDI QIDQ3298405

Yukun Guo, Fuming Ma, Bo Chen, Yao Sun

Publication date: 14 July 2020

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.09452

zbMATH Keywords

wave equationinverse source problemtime-dependentsampling methodmodified method of fundamental solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80) Inverse problems in fluid mechanics (76M21)

Related Items (10)

A simple method of reconstructing a point-like scatterer according to time-dependent acoustic wave propagation ⋮ Time Domain Linear Sampling Method for Inverse Scattering Problems with Cracks ⋮ Reconstruction of pointwise sources in a time-fractional diffusion equation ⋮ Divide-and-conquer DNN approach for the inverse point source problem using a few single frequency measurements ⋮ Imaging a Moving Point Source from Multifrequency Data Measured at One and Sparse Observation Directions (Part I): Far-Field Case ⋮ Inverse obstacle scattering for acoustic waves in the time domain ⋮ A method of fundamental solutions for heat and wave propagation from lateral Cauchy data ⋮ An inverse source problem for the stochastic wave equation ⋮ A deterministic-statistical approach to reconstruct moving sources using sparse partial data ⋮ Reconstruction of sources from time domain scattered waves at sparse sensors

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