报告题目：Distributional finite elements and complexes 

报告时间：2023年8月31日上午10:00-11:00 

报告地点：红瓦楼726

报告人：胡凯博  研究员（牛津大学）

报告摘要：Distributional finite elements generalize classical concepts by allowing measures (Dirac deltas) as shape functions. Distributional elements were used to derive equilibrated residual error estimators (Braess, Schöberl 2008) and discretization of the stress-displacement formulation of linear elasticity (Pechstein, Schöberl 2011, TDNNS). Regge calculus from discrete relativity can be interpreted as a finite element version of metric with distributional curvature (Christiansen 2008). In this talk, we review the concept of distributional elements and discuss progress in discretizing Bernstein-Gelfand-Gelfand (BGG) diagrams and sequences.

报告人简介：胡凯博, 2017年博士毕业于北京大学. 曾在挪威奥斯陆大学, 美国明尼苏达大学做博士后研究. 现为牛津大学 Royal Society University Research Fellow. 研究方向包括保结构离散, 有限元外形式 (Finite element exterior calculus)等. 曾获 SIAM Computational Science and Engineering Early Career Prize, 牛津大学 Hooke Research Fellowship.

报告邀请人：黄学海 教授