Tikhonov regularization in L p applied to inverse medium scattering

DOI10.1088/0266-5611/29/7/075003zbMath1282.65140OpenAlexW2000660039MaRDI QIDQ2861871

Armin Lechleiter, Kamil S. Kazimierski, Mirza Karamehmedović

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.1088/0266-5611/29/7/075003

zbMATH Keywords

numerical exampleHelmholtz equationTikhonov regularization schemeiterative shrunk Landweber regularization schemenonlinear inverse medium scattering problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) 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 (5)

Regularization and numerical solution of the inverse scattering problem using shearlet frames ⋮ A sparsity regularization and total variation based computational framework for the inverse medium problem in scattering ⋮ Source Conditions for Non-Quadratic Tikhonov Regularization ⋮ Non-linear Tikhonov regularization in Banach spaces for inverse scattering from anisotropic penetrable media ⋮ How to solve inverse scattering problems without knowing the source term: a three-step strategy

This page was built for publication: Tikhonov regularization in L ^p applied to inverse medium scattering