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Reports (Research Report) Year : 2004

Theoretical and Numerical Analysis of a Class of Nonlinear Elliptic Equations

Nour Eddine Alaa
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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 discribed and analysed. In a first step a super-solution is computed using a domain decomposition method. Numerical examples are presented and commented.

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Other [cs.OH]
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Dates and versions

inria-00070728 , version 1 (19-05-2006)

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  • HAL Id : inria-00070728 , version 1

Cite

Nour Eddine Alaa, Jean Rodolphe Roche. Theoretical and Numerical Analysis of a Class of Nonlinear Elliptic Equations. [Research Report] RR-5270, INRIA. 2004, pp.20. ⟨inria-00070728⟩
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