Numerical validation of solutions of saddle point matrix equations

Xiaojun Chen; Kouji Hashimoto

doi:10.1002/nla.342

Numerical validation of solutions of saddle point matrix equations

Xiaojun Chen, Kouji Hashimoto

Research output: Journal article publication › Journal article › Academic research › peer-review

8 Citations (Scopus)

Abstract

A numerical validation method for verifying the accuracy of approximate solutions of saddle point matrix equations is presented and analysed. The method only requires iterative solutions of two symmetric positive definite linear systems. Moreover, it is shown that preconditioning can be used to improve the error bounds. The method is illustrated by several examples derived from mixed finite element discretization of the Stokes equations. Preliminary numerical results indicate that the method is efficient.

Original language	English
Pages (from-to)	661-672
Number of pages	12
Journal	Numerical Linear Algebra with Applications
Volume	10
Issue number	7
DOIs	https://doi.org/10.1002/nla.342
Publication status	Published - 1 Oct 2003
Externally published	Yes

Keywords

Numerical validation
Saddle point matrix

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

More information

10.1002/nla.342

Cite this

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AB - A numerical validation method for verifying the accuracy of approximate solutions of saddle point matrix equations is presented and analysed. The method only requires iterative solutions of two symmetric positive definite linear systems. Moreover, it is shown that preconditioning can be used to improve the error bounds. The method is illustrated by several examples derived from mixed finite element discretization of the Stokes equations. Preliminary numerical results indicate that the method is efficient.

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KW - Saddle point matrix

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Numerical validation of solutions of saddle point matrix equations

Abstract

Keywords

ASJC Scopus subject areas

More information

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