Numerical Analysis of a Class of Non-Linear Elliptic Equations in two Dimensional case

Jean Rodolphe Roche (1, 2) , A. Cheggour (3) , Noureddine Alaa (3)

1 IECN - Institut Élie Cartan de Nancy
2 CALVI - Scientific computation and visualization
3 FSTG - Faculte des sciences et techniques de Gueliz

We present a numerical method to compute weak solutions of quasi-linear elliptic problem with Dirichlet boundary conditions with data belonging to L1. Numerical exemples are presented and commented.

Mots clés: Domain decomposition methods

Domaines: Analyse numérique [math.NA]

Jean Rodolphe Roche, A. Cheggour, Noureddine Alaa. Numerical Analysis of a Class of Non-Linear Elliptic Equations in two Dimensional case. ENUMATH 2005, the Sixth European Conference on Numerical Mathematics and Advanced Applications, 2006, Santiago de Compostela, Spain. pp.926. ⟨hal-00095297⟩