MIXED FINITE ELEMENT METHOD FOR STRESS GRADIENT ELASTICITY

：林挺（北京大学）
：2025-07-24 10:00
：海韵园行政楼C503

报告人：林挺（北京大学）

时  间：2025年7月24日10:00

地  点：海韵园行政楼C503

内容摘要:

The stress gradient elasticity model is a typical model problem of microstructure elasticity, which overcomes the limitations of classical elasticity in capturing size effects. By using Hellinger-Reissner principle, the model can be regarded as a perturbed mixed variational problem. In this talk, we discuss some stable finite element pairs for the linear stress gradient elasticity model. We established parameter-robust error estimates for the proposed finite element pairs, achieving (1) unconditional stability for finite elements with higher vertex continuity and (2) conditional stability for CG-DG pairs when no interior vertex has edges lying on at most three lines. This talk is based on a joint work with Shudan Tian (Xiangtan University).

个人简介：

林挺是北京大学数学科学学院博士生，2021年获得北京大学学士学位，目前导师为胡俊教授。曾获北京大学未名学士，北京大学校长奖学金东亚SIAM分会最佳论文奖一等奖等。2024年获国自然青年基金（博士生专项）资助。2025年入选科协青年人才托举工程博士生专项。主要研究方向为有限元方法与深度学习中的逼近论，相关论文发表于J. Eur. Math. Soc, Found. Comut. Math., Math. Comp., SIAM 系列, JMLR等。

 

联系人：谭志裕