The maximum angle condition is not necessary for convergence of the finite element method

Research output: Contribution to journalArticleScientificpeer-review


Research units

  • Basque Center for Applied Mathematics
  • Basque Foundation for Science
  • Czech Academy of Sciences


We show that the famous maximum angle condition in the finite element analysis is not necessary to achieve the optimal convergence rate when simplicial finite elements are used to solve elliptic problems. This condition is only sufficient. In fact, finite element approximations may converge even though some dihedral angles of simplicial elements tend to π.


Original languageEnglish
Pages (from-to)79-88
Number of pages10
JournalNumerische Mathematik
Issue number1-6
Publication statusPublished - Jan 2012
MoE publication typeA1 Journal article-refereed

ID: 12921346