A dimension expanded preconditioning technique for block two-by-two linear equations

Abstract: In this article, we introduce a novel block preconditioner for block two-by-two linear equations by expanding the dimension of the coefficient matrix. Theoretical results on the eigenvalues distribution of the preconditioned matrix are obtained, and a feasible implementation is discussed. Some numerical examples, including the solution of the Navier-Stokes equations, are presented to support the theoretical findings and demonstrate the preconditioner’s efficiency.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
A dimension expanded preconditioning technique for block two-by-two linear equations ; volume:56 ; number:1 ; year:2023 ; extent:10
Demonstratio mathematica ; 56, Heft 1 (2023) (gesamt 10)

Creator
Luo, Wei-Hua
Carpentieri, Bruno
Guo, Jun

DOI
10.1515/dema-2023-0260
URN
urn:nbn:de:101:1-2023103113051024204288
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:48 AM CEST

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Associated

  • Luo, Wei-Hua
  • Carpentieri, Bruno
  • Guo, Jun

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