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

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• 作者：Samir Kumar Bhowmik^a ; ^{bhowmiksk@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; ^{bhowmiksk@du.ac.bd" class="auth_mail" title="E-mail the corresponding author} ; Rabah Belbaki^b ; ^{belbakirab@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Tahar Zamene Boulmezaoud^c ; ^{tahar.boulmezaoud@uvsq.fr" class="auth_mail" title="E-mail the corresponding author} ; Samy Mziou^d ; ^{mzious@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Inverted finite elements ; Exterior domain ; Elliptic equation ; Unbounded domains
• 刊名：Computers & Mathematics with Applications
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：72
• 期：9
• 页码：2315-2333
• 全文大小：1184 K

文摘

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.