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Volume 20, Issue 1
Error Analysis and Global Superconvergences for the Signorini Problem with Lagrange Multiplier Methods

Ping Luo & Guo-Ping Liang

J. Comp. Math., 20 (2002), pp. 79-88.

Published online: 2002-02

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  • Abstract

In this paper, the finite element approximation of the Signorini problem is studied by using Lagrange multiplier methods with piecewise constant elements. Optimal error bounds are obtained and iterative algorithm and its convergence are given. Furthermore, global superconvergences are proved.

  • Keywords

Lagrange multipliers, Elastic contact, Error estimates, Superconvergences.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-79, author = {Luo , Ping and Liang , Guo-Ping}, title = {Error Analysis and Global Superconvergences for the Signorini Problem with Lagrange Multiplier Methods}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {1}, pages = {79--88}, abstract = {

In this paper, the finite element approximation of the Signorini problem is studied by using Lagrange multiplier methods with piecewise constant elements. Optimal error bounds are obtained and iterative algorithm and its convergence are given. Furthermore, global superconvergences are proved.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8900.html} }
TY - JOUR T1 - Error Analysis and Global Superconvergences for the Signorini Problem with Lagrange Multiplier Methods AU - Luo , Ping AU - Liang , Guo-Ping JO - Journal of Computational Mathematics VL - 1 SP - 79 EP - 88 PY - 2002 DA - 2002/02 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8900.html KW - Lagrange multipliers, Elastic contact, Error estimates, Superconvergences. AB -

In this paper, the finite element approximation of the Signorini problem is studied by using Lagrange multiplier methods with piecewise constant elements. Optimal error bounds are obtained and iterative algorithm and its convergence are given. Furthermore, global superconvergences are proved.

Luo , Ping and Liang , Guo-Ping. (2002). Error Analysis and Global Superconvergences for the Signorini Problem with Lagrange Multiplier Methods. Journal of Computational Mathematics. 20 (1). 79-88. doi:
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