• 论文 •

### 简化摩擦接触问题的对称弱超内罚间断Galerkin方法的先验和后验误差估计

1. 1. 嘉应学院数学学院, 梅州 514015;
2. 华侨大学数学科学学院, 泉州 362021
• 收稿日期:2019-04-13 发布日期:2021-05-13
• 基金资助:
国家自然科学基金（No.11526097，No.11701197）、广东省自然科学基金（No.2020A1515011032，No.2018A0303100016）资助.

Zeng Yuping, Weng Zhifeng, Hu Hanzhang. A PRIORI AND A POSTERIORI ERROR ESTIMATES OF A WOPSIP DG METHOD FOR A SIMPLIFIED FRICTIONAL CONTACT PROBLEM[J]. Mathematica Numerica Sinica, 2021, 43(2): 162-176.

### A PRIORI AND A POSTERIORI ERROR ESTIMATES OF A WOPSIP DG METHOD FOR A SIMPLIFIED FRICTIONAL CONTACT PROBLEM

Zeng Yuping1, Weng Zhifeng2, Hu Hanzhang1

1. 1. School of Mathematics, Jiaying University, Meizhou 514015, China;
2. School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
• Received:2019-04-13 Published:2021-05-13

In this paper, we propose a weakly over-penalized symmetric interior penalty discontinuous Galerkin method to solve a simplified frictional contact problem, First, an optimal a priori error estimate in the energy norm is obtained. Additionally, we derive a residual-based a posteriori error estimator which is proved to be reliable and efficient.

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