Iterative forward and inverse algorithms based on domain integral equations for three-dimen\-sional electric and magnetic objects.
type: Item
instance of: scholarly article
title: Iterative forward and inverse algorithms based on domain integral equations for three-dimen\-sional electric and magnetic objects.
zbMATH Open document ID: 1086.78006
author: A. Abubakar
author: Peter M. van den Berg
published in: Journal of Computational Physics
publication date: 2004-03-29T00:00:00Z
review text: In this paper the authors present an inversion method which can be used to invert the electric and magnetic contrast of a three-dimensional object, using a full vectorial formulation. Since this type of inverse problem involves a large number of unknowns, it should be solved as efficiently as possible. To this end, the authors employ the so-called multiplicative regularized contrast source inversion which has the following advantages above other full nonlinear inversion methods known in the literature: a) it does not solve a full forward problem in each iterative step b) it uses a multiplicative constraint, hence the weighting parameter of the regularization factor used in this algorithm is determined automatically. The authors present some numerical results illustrating the ability of their numerical algorithm.
Mathematics Subject Classification ID: 78A46
Mathematics Subject Classification ID: 78M25
zbMATH DE Number: 2062897
zbMATH Keywords: inverse scattering
zbMATH Keywords: three-dimensional
zbMATH Keywords: full-vectorial
zbMATH Keywords: iterative technique
zbMATH Keywords: nonlinear problem
zbMATH Keywords: integral equation
zbMATH Keywords: electric objects
zbMATH Keywords: magnetic objects
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.jcp.2003.10.009
OpenAlex ID: W2069118714
cites work: Q3661894
cites work: Total variation as a multiplicative constraint for solving inverse problems
cites work: Inversion of experimental multi-frequency data using the contrast source inversion method
cites work: A modified gradient method for two-dimensional problems in tomography
cites work: Q5289009
cites work: A contrast source inversion method
cites work: 3D electromagnetic inversion based on quasi-analytical approximation
DOI: 10.1016/J.JCP.2003.10.009
description: scientific article; zbMATH DE number 2062897