Additive Schwarz-type preconditioner for Hermite cubic splines.
type: Item
instance of: scholarly article
title: Additive Schwarz-type preconditioner for Hermite cubic splines.
zbMATH Open document ID: 1068.65060
author: Song-Tao Liu
published in: Applied Mathematics Letters
publication date: 2005-03-07T00:00:00Z
review text: The additive Schwarz preconditioner for finite element discretizations of a second order elliptic two-point boundary value problem by Hermite cubic splines is studied. By a straightforward approach, it is proved that the condition number of the preconditioned system is uniformly bounded with respect to the mesh size. A numerical example supports the analytical result.
reviewed by: Volker John
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 2140814
zbMATH Keywords: additive Schwarz preconditioner
zbMATH Keywords: Hermite cubic splines
zbMATH Keywords: norm equivalence
zbMATH Keywords: finite element
zbMATH Keywords: second order elliptic two-point boundary value problem
zbMATH Keywords: condition number
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: j.aml.2003.12.006
OpenAlex ID: W1965540337
cites work: Parallel Multilevel Preconditioners
cites work: On the abstract theory of additive and multiplicative Schwarz algorithms
cites work: Iterative Methods by Space Decomposition and Subspace Correction
cites work: Multilevel Schwarz methods
cites work: Biorthogonal multiwavelets on the interval: Cubic Hermite splines
cites work: Wavelet bases of Hermite cubic splines on the interval
cites work: Q4300595
cites work: Multilevel preconditioning
DOI: 10.1016/J.AML.2003.12.006
description: scientific article; zbMATH DE number 2140814