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Volume 1, Issue 2
Error Estimates for the Finite Element Solutions of Some Variational Inequalities with Nonlinear Monotone Operator

Lie-Heng Wang

J. Comp. Math., 1 (1983), pp. 99-105.

Published online: 1983-01

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  • Abstract

In this paper, we estimate the error of the linear finite element solutions of the obstacle problem and the unilateral problem with monotone operator. We obtained $O(h)$ error bound for the obstacle problem and $O(h^{3/4})$ error bound for the unilateral problem. And if the solution $u^*$ of the unilateral problem possesses more smoothness, then $O(h)$ error bound can be obtained in the same way as [2].

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@Article{JCM-1-99, author = {Lie-Heng Wang}, title = {Error Estimates for the Finite Element Solutions of Some Variational Inequalities with Nonlinear Monotone Operator}, journal = {Journal of Computational Mathematics}, year = {1983}, volume = {1}, number = {2}, pages = {99--105}, abstract = {

In this paper, we estimate the error of the linear finite element solutions of the obstacle problem and the unilateral problem with monotone operator. We obtained $O(h)$ error bound for the obstacle problem and $O(h^{3/4})$ error bound for the unilateral problem. And if the solution $u^*$ of the unilateral problem possesses more smoothness, then $O(h)$ error bound can be obtained in the same way as [2].

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9686.html} }
TY - JOUR T1 - Error Estimates for the Finite Element Solutions of Some Variational Inequalities with Nonlinear Monotone Operator AU - Lie-Heng Wang JO - Journal of Computational Mathematics VL - 2 SP - 99 EP - 105 PY - 1983 DA - 1983/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9686.html KW - AB -

In this paper, we estimate the error of the linear finite element solutions of the obstacle problem and the unilateral problem with monotone operator. We obtained $O(h)$ error bound for the obstacle problem and $O(h^{3/4})$ error bound for the unilateral problem. And if the solution $u^*$ of the unilateral problem possesses more smoothness, then $O(h)$ error bound can be obtained in the same way as [2].

Lie-Heng Wang. (1983). Error Estimates for the Finite Element Solutions of Some Variational Inequalities with Nonlinear Monotone Operator. Journal of Computational Mathematics. 1 (2). 99-105. doi:
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