2024年07月18日 星期四 登录 EN

学术活动
A sheaf theory framework for finite elements
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报告人:
Beihui Yuan, Doctor, Yanqi Lake Beijing Institute of Mathematical Sciences and Applications
邀请人:
Shuo Zhang, Associate Professor
题目:
A sheaf theory framework for finite elements
时间地点:
10:00-11:00 December 15 (Friday), Z311
摘要:

The finite element method is a popular method in numerically solving differential equations  arising from engineering and mathematical modeling. Sheaf theory, on the other hand, is a tool for systematically tracking local data. It is widely used in algebraic geometry and differential geometry. In this talk, I am going to propose a sheaf theory framework for finite elements. This idea works successfully in figuring out conditions for constructing C^r elelment spaces. This provides an envidence that sheaf theory is a suitable framework for finite elements, which are constructed using local data. This talk is base on an on-going joint work with Jun Hu, Ting Lin and Qingyu Wu.