A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems
type: Item
instance of: scholarly article
title: A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems
zbMATH Open document ID: 1011.65027
author: Barbara Kaltenbacher
author: Josef Schicho
published in: Numerische Mathematik
publication date: 2002-12-01T00:00:00Z
review text: This paper deals with a multi-grid method for the numerical solution of systems of nonlinear equations arising from the discretization of ill-posed problems in Hilbert space. The authors provide uniform contraction factor estimates and show that a nested multigrid iteration together with an a priori or a posteriori choosen stopping index defines a regularization method for the ill-posed problem. A numerical verification of the obtained theoretical results is presented.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J06
Mathematics Subject Classification ID: 65J20
zbMATH DE Number: 1837412
zbMATH Keywords: nonlinear problems
zbMATH Keywords: multi-grid methods
zbMATH Keywords: Hilbert spaces
zbMATH Keywords: regularization
zbMATH Keywords: ill-posed problems
zbMATH Keywords: stopping index
reviewed by: Karel Najzar
MaRDI profile type: Publication
full work available at URL: s002110100375
OpenAlex ID: W4247385000
DOI: 10.1007/S002110100375
description: scientific article; zbMATH DE number 1837412