Preconditioning by an extended matrix technique for convection-diffusion-reaction equations

In this paper we consider a preconditioning technique for the ill-conditioned systems arising from discretisations of nonsymmetric elliptic boundary value problems. The rectangular preconditioning matrix is constructed via the transfer operators between successive discretization levels of the initia...

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Bibliographic Details
Published inJournal of numerical analysis and approximation theory Vol. 37; no. 2
Main Authors Aurelian Nicola, Constantin Popa
Format Journal Article
LanguageEnglish
Published Publishing House of the Romanian Academy 01.08.2008
Subjects
CGLS algorithm
mesh independent preconditioning
multilevel discretization
positive semidefinite systems
spectrally equivalent matrices
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Summary:In this paper we consider a preconditioning technique for the ill-conditioned systems arising from discretisations of nonsymmetric elliptic boundary value problems. The rectangular preconditioning matrix is constructed via the transfer operators between successive discretization levels of the initial problem. In this way we get an extended, square, singular, consistent, but mesh independent well-conditioned linear system. Numerical experiments are presented for a 2D convection-diffusion-reaction problem.
ISSN:2457-6794
2501-059X
DOI:10.33993/jnaat372-890