Symmetric part preconditioning of the CG method for stokes type saddle-point systems

O. Axelsson, J. Karátson

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A nonsymmetric formulation of saddle-point systems is considered, and symmetric part preconditioning of the CG method is applied. Linear and superlinear convergence estimates are derived for the finite element solution of the Stokes problem and of Navier's equations of elasticity. Mesh independence of the estimates is obtained from proper Hilbert space operator background.

Original languageEnglish
Pages (from-to)1027-1049
Number of pages23
JournalNumerical Functional Analysis and Optimization
Volume28
Issue number9-10
DOIs
Publication statusPublished - Sep 2007

Fingerprint

Mesh Independence
Saddle Point Systems
Convergence Estimates
Linear Convergence
Superlinear Convergence
Stokes Problem
Hilbert spaces
Finite Element Solution
Preconditioning
Type Systems
Stokes
Mathematical operators
Elasticity
Hilbert space
Formulation
Operator
Estimate
Background

Keywords

  • Conjugate gradient method
  • Navier's equations of elasticity
  • Preconditioning
  • Regularization
  • Stokes problem
  • Symmetric part

ASJC Scopus subject areas

  • Applied Mathematics
  • Control and Optimization

Cite this

Symmetric part preconditioning of the CG method for stokes type saddle-point systems. / Axelsson, O.; Karátson, J.

In: Numerical Functional Analysis and Optimization, Vol. 28, No. 9-10, 09.2007, p. 1027-1049.

Research output: Contribution to journalArticle

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