Adaptive Quadratic Finite Element Method for the Unilateral Contact Problem

被引：1
作者：
Khandelwal, Rohit [1 ]
Porwal, Kamana [2 ]
Wadhawan, Tanvi [2 ]
机构：
[1] Govt Sci Coll Chikhli, Dept Math, Navsari 396521, Gujarat, India
[2] Indian Inst Technol, Dept Math, Delhi 110016, India
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2023年 / 96卷 / 01期
关键词：
Signorini problem; Quadratic finite elements; A posteriori error analysis; Variational inequalities; DISCONTINUOUS GALERKIN METHODS; POSTERIORI ERROR ESTIMATORS; VARIATIONAL-INEQUALITIES; RESIDUAL-TYPE; APPROXIMATION; EFFICIENT;
D O I：
10.1007/s10915-023-02206-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present and analyze a posteriori error estimates in the energy norm of a quadratic finite elementmethod for the frictionless unilateral contact problem. The reliability and the efficiency of a posteriori error estimator is discussed. The suitable decomposition of the discrete space V-h (0) and a discrete space Qh, where the discrete counterpart of the contact force density is defined, play crucial role in deriving a posteriori error estimates. Numerical results are presented exhibiting the reliability and the efficiency of the proposed error estimator.
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页数：30
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