linear Function Assignment

un problme de mcanique rgi par la forme faible variationnelle suivante :

o est une fonction test et U l'inconnue du problme.

Les conditions aux limites associes sont :

U(x=0)=0.1 etdu/dx(x=L)=2.5

Le maillage associ, donn figure ci-dessous, est compos de trois nauds et deux lments finis linaires.

Partic thorique:

1. Dterminer les fonctions d'approximation linaires N, et N? pour un lment fini deux nuds.
2. Calculer la matrice lmentaire [K] et le vecteur lmentaire (f) associs chacun des deux lments.
3. Assembler la matrice globale et le vecteur global des sollicitations.
4. Ajouter les deux conditions aux limites et dterminer le systme matriciel rsoudre,

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