Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We study the strong superconvergence of a semidiscrete finite element scheme for linear parabolic problems on Q=Ω×(0,T], where Ω is a bounded domain in ℛd (d≤4) with piecewise smooth boundary.
We establish the global two order superconvergence results for the error between the approximate solution and the Ritz projection of the exact solution of our model problem in W1,p(Ω) and Lp(Q) with 2≤p<∞ and the almost two order superconvergence in W1,∞(Ω) and L∞(Q).
Results of the p=∞ case are also included in two space dimensions (d=1 or 2).
By applying the interpolated postprocessing technique, similar results are also obtained on the error between the interpolation of the approximate solution and the exact solution.
American Psychological Association (APA)
Wang, Kening& Li, Shuang. 2009. Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-464457
Modern Language Association (MLA)
Wang, Kening& Li, Shuang. Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-16.
https://search.emarefa.net/detail/BIM-464457
American Medical Association (AMA)
Wang, Kening& Li, Shuang. Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-464457
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464457