Theoretical and Numerical Analysis of a Class of Nonlinear Elliptic Equations

Nour Eddine Alaa; Jean Rodolphe Roche

hal-00095236, version 1

Theoretical and Numerical Analysis of a Class of Nonlinear Elliptic Equations

Nour Eddine Alaa () ¹, Jean Rodolphe Roche () ^1, 2

Mediterranean Journal of Mathematics 2 (2005) 327-344

Abstract: In this paper we show the existence of weak solutions for a nonlinear elliptic equations with arbitrary growth of the non linearity and data measure. A numerical algorithm to compute a numerical approximation of the weak solution is described and analyzed. In a first step a super-solution is computed using a domain decomposition method. Numerical examples are presented and commented.

1: CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA)
CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine
2: Institut Elie Cartan Nancy (IECN)
CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)

hal-00095236, version 1
http://hal.archives-ouvertes.fr/hal-00095236
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From: Jean Rodolphe Roche <>
Submitted on: Friday, 15 September 2006 13:52:49
Updated on: Monday, 18 September 2006 11:22:34

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