Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part

Owe Axelsson, J. Karátson

Research output: Contribution to journalArticle

Abstract

For finite difference matrices that are monotone, a discretization error estimate in maximum norm follows from the truncation errors of the discretization. It enables also discretization error estimates for derivatives of the solution. These results are extended to convergent operator splittings of the difference matrix where the major, preconditioning part is monotone but the whole operator is not necessarily monotone.

Original languageEnglish
JournalJournal of Computational and Applied Mathematics
DOIs
Publication statusAccepted/In press - Jan 20 2016

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Keywords

  • Error estimates
  • Finite difference method
  • Matrix splitting
  • Preconditioning

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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