FOV-equivalent block triangular preconditioners for generalized saddle-point problems

Eugenio Aulisa, Sara Calandrini, Giacomo Capodaglio

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We present sufficient conditions for field-of-values-equivalence between block triangular preconditioners and generalized saddle-point matrices arising from inf–sup stable finite element discretizations. We generalize a result by Loghin and Wathen (2004) for matrices with a pure saddle-point structure to the case where the (2,2) block is non-zero. Moreover, we extend the analysis to the case where the (2,1) block is not the transpose of the (1,2) block.

Original languageEnglish
Pages (from-to)43-49
Number of pages7
JournalApplied Mathematics Letters
Volume75
DOIs
StatePublished - Jan 2018

Keywords

  • Field-of-values-equivalence
  • Finite elements
  • Generalized saddle-point problems
  • Preconditioning

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