Some observations on Babuška and Brezzi theories

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Abstract

Some observations are made on abstract error estimates for Galerkin approximations based on Babuška-Brezzi conditions. A basic error estimate due to Babuška is sharpened by means of an identity that ∥P∥ = ∥I - P∥ for any nontrivial idempotent operator P. Some remarks are also made on the Brezzi's theory for mixed variational problems and their Galerkin approximations.

Original languageEnglish (US)
Pages (from-to)195-202
Number of pages8
JournalNumerische Mathematik
Volume94
Issue number1
DOIs
StatePublished - Mar 1 2003

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

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