Stable source reconstruction from a finite number of measurements in the multi-frequency inverse source problem

DOI10.1088/1361-6420/aaba83zbMath1404.65238arXiv1803.05010OpenAlexW3100614128WikidataQ60548984 ScholiaQ60548984MaRDI QIDQ4570997

Kim Knudsen, Mirza Karamehmedović, Adrian Kirkeby

Publication date: 6 July 2018

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

Full work available at URL: https://arxiv.org/abs/1803.05010

zbMATH Keywords

singular value decompositionHelmholtz equationinverse source problemmeasurements at a finite number of frequenciesmulti-frequency inverse source problemphoto- and thermoacoustic tomographystable reconstruction method

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (2)

Increasing stability in the linearized inverse Schrödinger potential problem with power type nonlinearities* ⋮ Stability of the inverse source problem for the Helmholtz equation in R³

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