Solving two dimensional second order elliptic equations in exterior domains using the inverted finite elements method - Université de Versailles Saint-Quentin-en-Yvelines Access content directly
Journal Articles Computers & Mathematics with Applications Year : 2016

Solving two dimensional second order elliptic equations in exterior domains using the inverted finite elements method

Samir Kumar Bhowmik
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  • PersonId : 1049612
Rabah Belbaki
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  • PersonId : 1049613
Samy Mziou
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  • PersonId : 1049614

Abstract

In this paper, inverted finite element method is used for solving two-dimensional second order elliptic equations with a Dirichlet boundary condition in an exterior domain. After laying down the method, and after giving an estimate of the error, we detail how its implementation can be accomplished. Numerical results show the high efficiency and the accuracy of the method, especially for equations with infinitely varying coefficients. (C) 2016 Elsevier Ltd. All rights reserved.

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hal-02166371 , version 1 (26-06-2019)

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Samir Kumar Bhowmik, Rabah Belbaki, Tahar Zamene Boulmezaoud, Samy Mziou. Solving two dimensional second order elliptic equations in exterior domains using the inverted finite elements method. Computers & Mathematics with Applications, 2016, 72 (9), pp.2315-2333. ⟨10.1016/j.camwa.2016.08.030⟩. ⟨hal-02166371⟩
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