报告题目 (Title)：Geometric decomposition and efficient implementation of high order face and edge elements（高阶面和边缘元素的几何分解和有效实现）
报告人 (Speaker)：黄学海 教授（上海财经大学）
报告时间 (Time)：2024年10月29日 (周二) 10:00-11:00
报告地点 (Place)：校本部 B424教室
邀请人(Inviter)：涂一辉
主办部门：永利数学系
报告摘要：
This talk investigates high-order face and edge elements in finite element methods, with a focus on their geometric attributes, indexing management, and practical application. The exposition begins by a geometric decomposition of Lagrange finite elements, setting the foundation for further analysis. The discussion then extends to H(div)-conforming and H(curl)-conforming finite element spaces, adopting variable frames across differing sub-simplices. The imposition of tangential or normal continuity is achieved through the strategic selection of corresponding bases. We concludes with a focus on efficient indexing management strategies for degrees of freedom, offering practical guidance to researchers and engineers. It serves as a comprehensive resource that bridges the gap between theory and practice.
