Superconvergence of continuous finite elements with interpolated coefficients for initial value problems of nonlinear ordinary differential equation
Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 37-44
Published online: 2007-02
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@Article{NM-16-37,
author = { Z. Xiong and C. Chen},
title = {Superconvergence of continuous finite elements with interpolated coefficients for initial value problems of nonlinear ordinary differential equation},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {1},
pages = {37--44},
abstract = {
The main aim of this paper is to study the approximation to
viscoelasticity type equations with a Crouzeix-Raviart type
nonconforming finite element on the anisotropic meshes. The
superclose property of the exact solution and the optimal error
estimate of its derivative with respect to time are derived by using
some novel techniques. Moreover, employing a postprocessing
technique, the global superconvergence property for the
discretization error of the postprocessed discrete solution to the
solution itself is studied.
},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/8048.html}
}
TY - JOUR
T1 - Superconvergence of continuous finite elements with interpolated coefficients for initial value problems of nonlinear ordinary differential equation
AU - Z. Xiong & C. Chen
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 1
SP - 37
EP - 44
PY - 2007
DA - 2007/02
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/8048.html
KW -
AB -
The main aim of this paper is to study the approximation to
viscoelasticity type equations with a Crouzeix-Raviart type
nonconforming finite element on the anisotropic meshes. The
superclose property of the exact solution and the optimal error
estimate of its derivative with respect to time are derived by using
some novel techniques. Moreover, employing a postprocessing
technique, the global superconvergence property for the
discretization error of the postprocessed discrete solution to the
solution itself is studied.
Z. Xiong and C. Chen. (2007). Superconvergence of continuous finite elements with interpolated coefficients for initial value problems of nonlinear ordinary differential equation.
Numerical Mathematics, a Journal of Chinese Universities. 16 (1).
37-44.
doi:
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