Field-of-values analysis of preconditioned linearized Rayleigh–Bénard convection problems

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper we use the notion of field-of-values (FOV) equivalence of matrices to study a class of block-triangular preconditioners for the fixed-point linearization of the Rayleigh–Bénard convection problem discretized with inf–sup stable finite element spaces. First, sufficient conditions on the nondimensional parameters of the problem are determined in order to establish the FOV-equivalence between the system matrix and the preconditioners. Four upper triangular block preconditioners belonging to the general proposed class are then considered. Numerical experiments show that the Generalized Minimal Residual (GMRES) convergence is robust with respect to the mesh size for these preconditioned systems. We also compare the performance of the different preconditioners in terms of computational time.

Original languageEnglish
Article number112582
JournalJournal of Computational and Applied Mathematics
Volume369
DOIs
StatePublished - May 1 2020

Keywords

  • Block preconditioning
  • FOV-equivalence
  • Incompressible flows
  • Rayleigh–Bénard convection

Fingerprint Dive into the research topics of 'Field-of-values analysis of preconditioned linearized Rayleigh–Bénard convection problems'. Together they form a unique fingerprint.

Cite this