报告题目：Finite element diagram chasing
报 告 人：Kaibo Hu 胡凯博 博士 University of Minnesota
报告时间：2020年8月26日10:00-11:00
报告地点：腾讯会议 ID：418 227 590
https://meeting.tencent.com/s/4M7QFoY5DCgN
校内联系人：王翔 wxjldx@jlu.edu.cn
报告摘要：
There is a close relation between Maxwell’s equations and the de Rham complex. The perspective of continuous and discrete differential forms has inspired key progress in computational electromagnetism. This complex point of view also plays an important role in, e.g., continuum theory of defects, intrinsic elasticity and relativity.
In this talk, we briefly review the de Rham complexes and their smoother versions, known as the Stokes complexes with applications in fluid mechanics. Then we generate new complexes from them and study their algebraic and analytic properties. As an example, we construct Sobolev and finite element elasticity complexes by diagram chasing. Special cases of this cohomological approach generalize results in classical elasticity, e.g., the Korn inequality and the Cesàro-Volterra path integral.
报告人简介：
胡凯博, 2017 年博士毕业于北京大学. 后在 University of Oslo 和 University of Minnesota 从事博士后研究. 目前研究兴趣包括 finite element exterior calculus 及其在连续介质力学和相对论中的应用, 以及有限元和离散几何/物理的联系.
