Far Field Splitting for the Helmholtz Equation

DOI10.1137/120891381zbMath1295.35381OpenAlexW2027910719MaRDI QIDQ5415995

Roland Griesmaier, Martin Hanke, John Sylvester

Publication date: 19 May 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120891381

zbMATH Keywords

source splittingHelmholtz equationinverse source probleminverse scatteringinverse Radon approximationconvex scattering support

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (12)

Uncertainty principles for inverse source problems for electromagnetic and elastic waves ⋮ Uncertainty Principles for Three-Dimensional Inverse Source Problems ⋮ Time-dependent wave splitting and source separation ⋮ Uncertainty Principles for Inverse Source Problems, Far Field Splitting, and Data Completion ⋮ On wave splitting, source separation and echo removal with absorbing boundary conditions ⋮ Inverse Source Problems for Maxwell's Equations and the Windowed Fourier Transform ⋮ Radiating and non-radiating sources in elasticity ⋮ How to solve inverse scattering problems without knowing the source term: a three-step strategy ⋮ Far Field Splitting by Iteratively Reweighted $\ell^1$ Minimization ⋮ Stability of the inverse source problem for the Helmholtz equation in R³ ⋮ Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems ⋮ Wave splitting for time-dependent scattered field separation

This page was built for publication: Far Field Splitting for the Helmholtz Equation