Reconstruction of extended sources for the Helmholtz equation

DOI10.1088/0266-5611/29/3/035005zbMath1275.78004OpenAlexW2003339235MaRDI QIDQ4917018

Rainer Kress, William Rundell

Publication date: 26 April 2013

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

Full work available at URL: https://doi.org/10.1088/0266-5611/29/3/035005

zbMATH Keywords

Helmholtz equationinverse source problemsCauchy data

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

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Reconstruction of extended sources with small supports in the elliptic equation \(\Delta u+\mu u=F\) from a single Cauchy data ⋮ Reconstruction of pointwise sources in a time-fractional diffusion equation ⋮ Reconstruction algorithms of an inverse source problem for the Helmholtz equation ⋮ Nonlinearity parameter imaging in the frequency domain ⋮ On reconstruction of small sources from Cauchy data at a fixed frequency ⋮ Inverse Source Problems for Maxwell's Equations and the Windowed Fourier Transform ⋮ Locating Multiple Multipolar Acoustic Sources Using the Direct Sampling Method ⋮ An efficient and robust algorithm for source reconstruction in the Helmholtz equation ⋮ Direct algorithm for multipolar sources reconstruction

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