Augmented conjugate gradient. Application in an iterative process for the solution of scattering problems
type: Item
instance of: scholarly article
title: Augmented conjugate gradient. Application in an iterative process for the solution of scattering problems
zbMATH Open document ID: 0924.65024
DOI: 10.1023/A:1019109213101
author: K. Appert
published in: Numerical Algorithms
publication date: 1999-11-02T00:00:00Z
review text: The paper presents the application of the augmented conjugate gradient method in an iterative process applied to the solution of acoustic scattering problems. The basic idea of this conjugate gradient method is to use a Krylov subspace generated by the first linear system to define an initial guess and modified descent directions to solve the following systems with the same matrix and the right-hand sides depend on the previous solutions. An exact controllability approach is used, a least-squares formulation is introduced and solved by a preconditioned conjugate gradient algorithm. Numerical results with emphasis on the efficiency of the augmented conjugate gradient to solve linear systems associated to the preconditioner are given.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 1234726
zbMATH Keywords: preconditioning
zbMATH Keywords: numerical examples
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: acoustic scattering
zbMATH Keywords: Krylov subspace
zbMATH Keywords: exact controllability
zbMATH Keywords: least-squares
reviewed by: Florica Luban
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1234726