数学学科Seminar第2759讲 高阶面和边缘元素的几何分解和有效实现

创建时间:  2024/10/29  龚惠英   浏览次数:   返回

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:金沙威尼斯欢乐娱人城数学系

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.

上一条:物理学科Seminar第697讲 基于玻色-爱因斯坦凝聚体的量子热机及活塞控制

下一条:数学学科Seminar第2758讲 A quadratically convergent semismooth Newton method for nonlinear semidefinite programming without subdifferential regularity


数学学科Seminar第2759讲 高阶面和边缘元素的几何分解和有效实现

创建时间:  2024/10/29  龚惠英   浏览次数:   返回

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:金沙威尼斯欢乐娱人城数学系

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.

上一条:物理学科Seminar第697讲 基于玻色-爱因斯坦凝聚体的量子热机及活塞控制

下一条:数学学科Seminar第2758讲 A quadratically convergent semismooth Newton method for nonlinear semidefinite programming without subdifferential regularity