Newton-Picard-based preconditioning for linear-quadratic optimization problems with time-periodic parabolic PDE constraints
type: Item
instance of: scholarly article
zbMATH Open document ID: 1266.65104
DOI: 10.1137/100807776
author: A. Potschka
author: M. S. Mommer
author: Johannes P. Schlöder
author: Hans Georg Bock
published in: SIAM Journal on Scientific Computing
publication date: 2012-08-23T00:00:00Z
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65F08
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 6071035
zbMATH Keywords: Newton-Picard preconditioners
zbMATH Keywords: periodic boundary condition
zbMATH Keywords: parabolic partial differential equation
zbMATH Keywords: linear iterative splitting method
zbMATH Keywords: linear-quadratic optimization problems
zbMATH Keywords: convergence
zbMATH Keywords: numerical results
describes a project that uses: MATLAB ODE suite
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1137/100807776
OpenAlex ID: W1971937117
title: Newton-Picard-based preconditioning for linear-quadratic optimization problems with time-periodic parabolic PDE constraints
review text: The authors study two preconditioners for a basic linear iterative splitting method for the numerical solution of linear-quadratic optimization problems with time-periodic parabolic partial differential equation (PDE) constraints. Emphasis is given to the Newton-Picard preconditioners and to the establishment of a mesh-independent convergence result for a basic linear iterative method based on the classical Newton-Picard splitting. The proofs of the individual results are given in a self-contained manner. The paper concludes with some nice numerical results.
reviewed by: John T. Coletsos
description: scientific article; zbMATH DE number 6071035