Mathematical and Numerical Analysis of a Class of Non-linear Elliptic Equations in the Two Dimensional Case

Nour Eddine Alaa (), Abderrahim Cheggour () and Jean R. Roche ()
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Nour Eddine Alaa: Université des Sciences et Techniques Cadi Ayyad, Département de Mathématiques et Informatique
Abderrahim Cheggour: Université des Sciences et Techniques Cadi Ayyad, Département de Mathématiques et Informatique
Jean R. Roche: Université Henri Poincaré, I.E.C.N.

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 926-934 from Springer

Abstract: Abstract The aim of this paper is to show the existence and present a numerical analysis of weak solutions for a quasi-linear elliptic problem with Dirichlet boundary conditions in a domain Ω and data belonging to L 1(Ω). A numerical algorithm to compute a numerical approximation of the weak solution is described and analyzed. Numerical examples are presented and commented.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_92

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DOI: 10.1007/978-3-540-34288-5_92

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