Numerical Approximation of Second-Order Elliptic Problems in Unbounded Domains

Tahar Z. Boulmezaoud 1 Samy Mziou Tahar Boudjedaa 2
1 LMV - Laboratoire de Mathématiques de Versailles
2 University of Jijel- Algeria
Abstract : This paper deals with the numerical resolution of elliptic problems in unbounded domains using inverted finite elements. In opposition to conventional approaches which are based on the truncation of the domain, the suggested method keeps the domain unbounded and is based on a description of the asymptotic behavior in an appropriate functional framework. The method and its mathematical properties are presented first, and some computational examples are carried out. The obtained numerical results demonstrate the efficiency of the method.
Keywords : Inverted finite elements Unbounded domains Half-line Approximation Weighted spaces
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Journal articles
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Submitted on : Wednesday, June 26, 2019 - 5:16:11 PM
Last modification on : Thursday, June 27, 2019 - 1:17:05 AM

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Tahar Z. Boulmezaoud, Samy Mziou, Tahar Boudjedaa. Numerical Approximation of Second-Order Elliptic Problems in Unbounded Domains. Journal of Scientific Computing, Springer Verlag, 2014, 60 (2), pp.295-312. ⟨10.1007/s10915-013-9798-5⟩. ⟨hal-02166382⟩

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