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Volume 17, Issue 2
High Accuracy Analysis of the Wilson Element

Ping Luo & Qun Lin

J. Comp. Math., 17 (1999), pp. 113-124.

Published online: 1999-04

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  • Abstract

In this paper, the Wilson nonconforming finite element is considered for solving a class of second-order elliptic boundary value problems. Based on an asymptotic error expansion for the Wilson finite element, the global superconvergences, the local superconvergences and the defect correction schemes are presented.  

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@Article{JCM-17-113, author = {Ping Luo and Qun Lin}, title = {High Accuracy Analysis of the Wilson Element}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {2}, pages = {113--124}, abstract = {

In this paper, the Wilson nonconforming finite element is considered for solving a class of second-order elliptic boundary value problems. Based on an asymptotic error expansion for the Wilson finite element, the global superconvergences, the local superconvergences and the defect correction schemes are presented.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9086.html} }
TY - JOUR T1 - High Accuracy Analysis of the Wilson Element AU - Ping Luo & Qun Lin JO - Journal of Computational Mathematics VL - 2 SP - 113 EP - 124 PY - 1999 DA - 1999/04 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9086.html KW - Finite elements, Defect correction, Global super convergence Wilson element. AB -

In this paper, the Wilson nonconforming finite element is considered for solving a class of second-order elliptic boundary value problems. Based on an asymptotic error expansion for the Wilson finite element, the global superconvergences, the local superconvergences and the defect correction schemes are presented.  

Ping Luo and Qun Lin. (1999). High Accuracy Analysis of the Wilson Element. Journal of Computational Mathematics. 17 (2). 113-124. doi:
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