Author(s)

Zhenjian Zhou ^1,2, Shilei Xu ³, Jianjun Wan ³, Chunyan Niu ³

Affiliation(s)

¹ State Key Laboratory of Shield Machine and Boring Technology, Zhengzhou, 450001, China
² China Railway Tunnel Group Co., Ltd, Guangzhou, 511458, China
³ School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, China

Corresponding Author

Jianjun Wan

ABSTRACT

This paper presents a novel approach to the error estimation of the quadratic virtual element method for unilateral obstacle problems. This method is concise and has the potential for generalization. This paper also gives numerical experimental results on convex and non-convex polygons to verify the theoretical results.

KEYWORDS

Obstacle problem, Virtual element method, Error estimation, Variational inequality

CITE THIS PAPER

Zhenjian Zhou, Shilei Xu, Jianjun Wan, Chunyan Niu. A New Error Estimation Method of the Quadratic Virtual Element Method for Obstacle Problems. Computing, Performance and Communication Systems (2026). Vol. 10, No. 1, 61-68. DOI: http://dx.doi.org/10.23977/cpcs.2026.100107.

REFERENCES

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[12] Fei Wang, Huayi Wei, Virtual element method for simplified friction problem, Applied Mathematics Letters, 85 (2018) 125-131.
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