[en] We discuss the application of the Mountain Pass Algorithm to the so-called quasi-linear Schr'odinger equation, which is naturally associated with a class of nonsmooth functionals so that the classical algorithm cannot directly be used. A change of variable allows us to deal with the lack of regularity. We establish the convergence of a mountain pass algorithm in this setting. Some numerical experiments are also performed and lead to some conjectures.
Research center :
CREMMI - Modélisation mathématique et informatique
Disciplines :
Computer science Mathematics
Author, co-author :
Grumiau, Christopher ; Université de Mons > Faculté des Sciences > Analyse numérique
Troestler, Christophe ; Université de Mons > Faculté des Sciences > Service d'Analyse numérique
Language :
English
Title :
Convergence of a mountain pass type algorithm for strongly indefinite problems and systems
Publication date :
10 February 2014
Journal title :
Electronic Journal of Differential Equations
ISSN :
1072-6691
Publisher :
Texas State University - San Marcos, United States
Volume :
Conference 21
Pages :
129-147
Peer reviewed :
Peer Reviewed verified by ORBi
Research unit :
S835 - Analyse numérique
Research institute :
R150 - Institut de Recherche sur les Systèmes Complexes
