A new nonconforming finite element method for convection dominated diffusion-reaction equations
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- 作者：Dibyendu Adak ; E. Natarajan ; Sarvesh Kumar
- 关键词：Non ; conforming element ; Streamline ; diffusion methods ; Error analysis
- 刊名：International Journal of Advances in Engineering Sciences and Applied Mathematics
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：8
- 期：4
- 页码：274-283
- 全文大小：
- 刊物类别：Engineering
- 刊物主题：Engineering, general; Appl.Mathematics/Computational Methods of Engineering;
- 出版者：Springer India
- ISSN：0975-5616
- 卷排序：8
文摘
In this article, we introduce a non-conforming streamline diffusion finite element method for the approximation of convection dominated diffusion problems. The proposed non-conforming scheme is a hybrid type in which \(P_{1}\)-nonconforming polynomials and \(P_{2}\)-conforming polynomials on triangles are used. Computational advantages of the newly constructed element with rigorous error analysis for the streamline diffusion discretization is presented. Moreover, numerical experiments are conducted to demonstrate the efficiency of the proposed scheme and to validate the theoretical error estimates.