Department of Numerical Mathematics Faculty of Mathematics and Physics Charles University

A note on necessary and sufficient conditions for convergence of the finite element method

  • ID: 2704, RIV: 10314916
  • ISSN: not specified, ISBN: 978-80-85823-65-3
  • source: Proceedings of the International Conference Applications of Mathematics 2015
  • keywords: finite element method; convergence; maximum angle condition
  • authors: Václav Kučera
  • authors from KNM: Kučera Václav


In this short note, we present several ideas and observations concerning finite element convergence and the role of the maximum angle condition. Based on previous work, we formulate a hypothesis concerning a necessary condition for O(h) convergence and show a simple relation to classical problems in measure theory and differential geometry which could lead to new insights in the area.