Sur quelques questions d'analyse numérique relatives à des problèmes non convexes

Abstract : We study some numerical aspects of variational problems which fail to be convex. In general such problems don't have minimizers. Instead, minimising sequences develop oscillations which allow them to decrease the energy. Such oscillations are encountered in various physical settings. In mettallurgy, for instance, they are observed in martensitic transformation of some alloys which make full use of their special structure to lower their energy. We are led to assume the existence of a density energy measured by the deformation gradient and the material temperature. At a certain temperature this density energy is supported on some potential wells which lead to a no convex problems
Document type :
Theses
Complete list of metadatas

Cited literature [38 references]  Display  Hide  Download

https://hal.univ-lorraine.fr/tel-01777122
Contributor : Administrateur Du Ccsd <>
Submitted on : Tuesday, April 24, 2018 - 4:11:53 PM
Last modification on : Thursday, April 26, 2018 - 1:28:32 AM
Long-term archiving on : Wednesday, September 19, 2018 - 4:10:53 PM

File

Elfanni.Abdellah.SMZ9616.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : tel-01777122, version 1

Collections

Citation

Abdellah Elfanni. Sur quelques questions d'analyse numérique relatives à des problèmes non convexes. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 1996. Français. ⟨NNT : 1996METZ016S⟩. ⟨tel-01777122⟩

Share

Metrics

Record views

20

Files downloads

14