Volume 21, Issue 6
The Dual Mixed Method for an Unilateral Problem
DOI:

J. Comp. Math., 21 (2003), pp. 733-746

Published online: 2003-12

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• Abstract

In this paper, the dual mixed method for an unilateral problem, which is the simplified modelling of scalar function for the friction-free contact problem, is considered. The dual mixed problem is introduced, the existence and uniqeness of the solution of the problem are presented, and error bounds $O(g^{\frac{3}{4}})$ and $O(g^{\frac{3}{2}})$ are obtained forthe dual mixed finite element approximations of Raviart-Thomas elements for $k=0$ and $k=1$ respectively.

• Keywords

Dual Mixed Method Unilateral Problem

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@Article{JCM-21-733, author = {Lie-heng Wang}, title = {The Dual Mixed Method for an Unilateral Problem}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {6}, pages = {733--746}, abstract = { In this paper, the dual mixed method for an unilateral problem, which is the simplified modelling of scalar function for the friction-free contact problem, is considered. The dual mixed problem is introduced, the existence and uniqeness of the solution of the problem are presented, and error bounds $O(g^{\frac{3}{4}})$ and $O(g^{\frac{3}{2}})$ are obtained forthe dual mixed finite element approximations of Raviart-Thomas elements for $k=0$ and $k=1$ respectively. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10231.html} }
TY - JOUR T1 - The Dual Mixed Method for an Unilateral Problem AU - Lie-heng Wang JO - Journal of Computational Mathematics VL - 6 SP - 733 EP - 746 PY - 2003 DA - 2003/12 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10231.html KW - Dual Mixed Method KW - Unilateral Problem AB - In this paper, the dual mixed method for an unilateral problem, which is the simplified modelling of scalar function for the friction-free contact problem, is considered. The dual mixed problem is introduced, the existence and uniqeness of the solution of the problem are presented, and error bounds $O(g^{\frac{3}{4}})$ and $O(g^{\frac{3}{2}})$ are obtained forthe dual mixed finite element approximations of Raviart-Thomas elements for $k=0$ and $k=1$ respectively.
Lie-heng Wang. (1970). The Dual Mixed Method for an Unilateral Problem. Journal of Computational Mathematics. 21 (6). 733-746. doi:
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