On Schwarz-type smoothers for saddle point problems with applications to PDE-constrained optimization problems
type: Item
instance of: scholarly article
title: On Schwarz-type smoothers for saddle point problems with applications to PDE-constrained optimization problems
zbMATH Open document ID: 1161.65051
author: R. Simon
author: Walter Zulehner
published in: Numerische Mathematik
publication date: 2009-02-09T00:00:00Z
review text: The authors consider multigrid methods for solving large-scale systems of discretized mixed variational problems of the form \[ \text{Find }x\in X\text{ and }p\in Q\text{ such that }a(x,w)+ b(w,p)=\langle F,w\rangle\text{ for all }w\in X, \] \[ b(x,q)- c(p,q)= \langle G,q\rangle\text{ for all }q\in Q. \] The main applications considered in the paper are optimization problems in function spaces with constraints in form of partial differential equations. Some numerical experiments are given.
reviewed by: Hans Benker
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 5503888
MaRDI profile type: Publication
full work available at URL: s00211-008-0187-1
OpenAlex ID: W2040625833
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DOI: 10.1007/S00211-008-0187-1
description: scientific article; zbMATH DE number 5503888