Domain Decomposition Method for a Class of Non-Linear Elliptic Equation with Arbitrary Growth Nonlinearity and Data Measure

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

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 79-88 from Springer

Abstract: Summary 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. A numerical example is presented and commented.

Keywords: Weak Solution; Domain Decomposition; Nonlinear Elliptic Equation; Domain Decomposition Method; Domain Decomposition Technique (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_5

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DOI: 10.1007/978-3-642-18775-9_5

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