Superconvergence of nonconforming finite element approximation for the second order elliptic problem
DOI:
https://doi.org/10.31185/eduj.Vol2.Iss25.2747Keywords:
SuperconvergenceAbstract
In this paper a general superconvergence of nonconforming finite element method for the second order elliptic problem is derived. In order to verify and support the theoretical results numerical examples are given.Downloads
References
Daryl, L. L., “A First Course in the Finite Element Method”, University of Wisconsin- Platteville, (2007).
Evgeny, B., “Introduction to the Finite Element Method”, Riga Technical
University, (2001).
Johnson, C., “Numerical Solution of Partial Differential Equations by the Finite Element Method”, Gambridge University, (1987).
Jari, R., Mu L., Harris A., and Fox, A. “ Superconvergence for discontinuouse Galerkin finite element methods by L^2-projection methods”, Computers and Mathematics with Applications, 65(2013) 665-672.
Mingxia, I., and Shipeng, M., “On the Superconvergence of Bilinear Finite Element for Second Order Elliptic Problems with General Boundary Conditions”, International Journal of Information and Systems Sciences, Vol. 6, No. 1, PP. 1–9, (2010).
Mats, G. L., and Fredrik, B., “The Finite Element Method Theory Implementation and Applications”, Department of Mathematics Umea University, Sweden (2013).
Nikishkov, G. P., “Introduction to the Finite Element Method”, Lecture Notes, UCLA, (2001).
P.G.Ciarlet, “The finite element method for elliptic problems”, North-Holland, New York, (1978).
Wang, J. “A superconvergence Analysis for Finite Element Solutions by the Least Square Surface Fitting on Irregular Mesh for Smooth Problem”, Journal of Mathematical Study, Vol. 33, No. 3, PP. 229-243, (2000).
Xiu, Y. “ Superconvergence of Nonconforming Finite Element Method for the Stokes Equations”, Vol. 18 No. 2 (2002).
Zhaoliang, M., Zhongxuan, L. and Dongwoo, S. “A new Cubic Nonconforming Finite Element on Rectangles”, A school of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China, (2013).
Downloads
Published
Issue
Section
License
Copyright (c) 2021 Rasool N. Jasim, Rabee H. Jari

This work is licensed under a Creative Commons Attribution 4.0 International License.
