Inverse Source Problems for the Helmholtz Equation and the Windowed Fourier Transform II

DOI10.1137/130908658zbMath1282.35412OpenAlexW2801692529MaRDI QIDQ2870640

Martin Hanke, Roland Griesmaier, Thorsten Raasch

Publication date: 21 January 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1cb3f6b7e146dfe84c87edb31a300100ffb1f4d9

zbMATH Keywords

Helmholtz equationinverse source problemfiltered backprojectionexponential ray transforminverse Radon approximation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Radon transform (44A12) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (10)

Direct imaging for the moment tensor point sources of elastic waves ⋮ Nonradiating Sources and Transmission Eigenfunctions Vanish at Corners and Edges ⋮ Error estimation to the direct sampling method for the inverse acoustic source problem with multi-frequency data ⋮ Reconstruction of acoustic source with high-curvature part ⋮ Fourier method for recovering acoustic sources from multi-frequency far-field data ⋮ Inverse Source Problems for Maxwell's Equations and the Windowed Fourier Transform ⋮ Solving the multi-frequency electromagnetic inverse source problem by the Fourier method ⋮ A Factorization Method for Multifrequency Inverse Source Problems with Sparse Far Field Measurements ⋮ Far Field Splitting by Iteratively Reweighted $\ell^1$ Minimization ⋮ Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems

Uses Software

• BEM++

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