报告题目：Finite element exterior calculus and the Bernstein-Gelfand-Gelfand (BGG) machinery

报告人：胡凯博，牛津大学

报告时间：8月16日10:40-11:40

报告地点：管理楼1218

摘要：

In this talk, we first review the de Rham complex and the finite element exterior calculus, a cohomological framework for structure-preserving discretisation of PDEs. From de Rham complexes, we derive other complexes with applications in elasticity, geometry and general relativity. The derivation, inspired by the Bernstein-Gelfand-Gelfand (BGG) construction, also provides a general machinery to establish results for tensorial problems (e.g., elasticity) from de Rham complexes (e.g., electromagnetism and fluid mechanics). We discuss some applications and progress in this direction.

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.