A neural network method for time-dependent inverse source problem with limited-aperture data

DOI10.1016/j.cam.2022.114842zbMath1498.65152OpenAlexW4296817085MaRDI QIDQ2095149

Yanyan Li

Publication date: 9 November 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114842

zbMATH Keywords

neural networklimited-apertureinverse moving source problemmultiply accumulate

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in optimal control (49N45)

Related Items (6)

Highly accurate method for a singularly perturbed coupled system of convection-diffusion equations with Robin boundary conditions ⋮ Evaluating the impacts of thermal conductivity on Casson fluid flow near a slippery sheet: numerical simulation using sixth-kind Chebyshev polynomials ⋮ Application of neural networks to inverse elastic scattering problems with near-field measurements ⋮ Inverse time-dependent source problem for the heat equation with a nonlocal Wentzell-Neumann boundary condition ⋮ Determination of piecewise homogeneous sources for elastic and electromagnetic waves ⋮ Reconstruction of acoustic source with high-curvature part

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