Real-time reconstruction of time-varying point sources in a three-dimensional scalar wave equation

DOI10.1088/0266-5611/27/11/115011zbMath1231.35311OpenAlexW2021896980MaRDI QIDQ3103936

Kohzaburo Ohnaka, Hirokazu Inui, Takashi Ohe

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1088/0266-5611/27/11/115011

zbMATH Keywords

reciprocity gap functionalthree-dimensional scalar wave equationreconstruction of point sources

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (13)

Inverse moving point source problem for the wave equation ⋮ Imaging a Moving Point Source from Multifrequency Data Measured at One and Sparse Observation Directions (Part I): Far-Field Case ⋮ Localization of Moving Sources: Uniqueness, Stability, and Bayesian Inference ⋮ Direct algorithm for reconstructing small absorbers in thermoacoustic tomography problem from a single data ⋮ A global domain/boundary integral equation method for the inverse wave source and backward wave problems ⋮ Inverse moving source problems in electrodynamics ⋮ Identification of the point sources in some stochastic wave equations ⋮ Nonlinear wave inverse source problem solved by a method of \(m\)-order homogenization functions ⋮ Inverse Moving Source Problem for Fractional Diffusion(-Wave) Equations: Determination of Orbits ⋮ Imaging point sources in heterogeneous environments ⋮ Real-time reconstruction of moving point/dipole wave sources from boundary measurements ⋮ A neural network method for time-dependent inverse source problem with limited-aperture data ⋮ The polynomial Trefftz method for solving backward and inverse source wave problems

This page was built for publication: Real-time reconstruction of time-varying point sources in a three-dimensional scalar wave equation