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Superconvergence of conforming finite element for fourth-order singularly perturbed problems of reaction diffusion type in 1D.
- Source :
- Numerical Methods for Partial Differential Equations; Mar2014, Vol. 30 Issue 2, p550-566, 17p
- Publication Year :
- 2014
-
Abstract
- We consider conforming finite element approximation of fourth-order singularly perturbed problems of reaction diffusion type. We prove superconvergence of standard C<superscript>1</superscript> finite element method of degree p on a modified Shishkin mesh. In particular, a superconvergence error bound of [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0749159X
- Volume :
- 30
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Numerical Methods for Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 94007879
- Full Text :
- https://doi.org/10.1002/num.21827