Volume 15, Issue 4
Superconvergence of a nonconforming finite element approximation to viscoelasticity type equations on anisotropic meshes

D. Shi, Y. Peng & S. Chen

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 15 (2006), pp. 375-384

Published online: 2006-11

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  • 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.
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@Article{NM-15-375, author = {D. Shi, Y. Peng and S. Chen }, title = {Superconvergence of a nonconforming finite element approximation to viscoelasticity type equations on anisotropic meshes}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2006}, volume = {15}, number = {4}, pages = {375--384}, 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/8044.html} }
TY - JOUR T1 - Superconvergence of a nonconforming finite element approximation to viscoelasticity type equations on anisotropic meshes AU - D. Shi, Y. Peng & S. Chen JO - Numerical Mathematics, a Journal of Chinese Universities VL - 4 SP - 375 EP - 384 PY - 2006 DA - 2006/11 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/8044.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.
D. Shi, Y. Peng and S. Chen . (2006). Superconvergence of a nonconforming finite element approximation to viscoelasticity type equations on anisotropic meshes. Numerical Mathematics, a Journal of Chinese Universities. 15 (4). 375-384. doi:
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