Convergence analysis of a modified weak Galerkin finite element method for Signorini and obstacle problems

Convergence analysis of a modified weak Galerkin finite element method for Signorini and obstacle problems
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DOI:
10.1002/num.22147
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发表时间:
2017-09
影响因子:
3.9
通讯作者:
Yuping Zeng;Jinru Chen;Feng Wang
Yuping Zeng;Jinru Chen;Feng Wang
中科院分区:
数学3区
文献类型:
--
作者:
Yuping Zeng;Jinru Chen;Feng Wang

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本文利用修正的弱Galerkin方法求解第一类变分不等式,包括Signorini问题和障碍问题。最佳顺序的先验误差估计的能量范数。我们还提供了一些数值实验来验证理论结果。Numer Methods Partial Differential Eq 33:1459-1474,2017
In this article, we apply a modified weak Galerkin method to solve variational inequality of the first kind which includes Signorini and obstacle problems. Optimal order a priori error estimates in the energy norm are derived. We also provide some numerical experiments to validate the theoretical results.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1459–1474, 2017