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2007-01-09 - Colloque/Présentation - communication orale - Anglais - 66 page(s)

Troestler Christophe , "Convergence of a mountain pass algorithm with projection" in Theoretical and Computational nonlinear partial differential equations, Mexico city, Mexique, 2007

  • Codes CREF : Calcul des variations (DI1128), Analyse numérique (DI1123), Equations différentielles et aux dérivées partielles (DI1127)
  • Unités de recherche UMONS : Analyse numérique (S835)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Modélisation mathématique et informatique (CREMMI)
Texte intégral :

Abstract(s) :

(Anglais) Following the pioneer work of Choi and McKenna, several algorithms have been proposed to find various kind of solutions for variational PDEs. Despite the fact that these algorithms work well in practice, only few of them have been proved to converge — thanks to the work of Zhou & al. In this talk, I will present a mountain pass type algorithm to find solutions in the fixpoints of a possibly nonlinear projector and prove its convergence.