报告题目：An Introduction to the Virtual Element Method

报告人：刘璇博士后上海交通大学

报告时间：2026年11月6日下午19:00-20:00

报告地点：线上腾讯会议145-141-124

校内联系人：邹永魁邮箱[email protected]

报告摘要：This talk introduces the basic principles of the Virtual Element Method (VEM), tracing its origins to mimetic finite differences and its connection with the finite element framework. VEM accommodates general polygonal and polyhedral meshes without requiring explicit evaluation of interior basis functions. Using the Poisson problem as a model, we explain the construction of local spaces, degrees of freedom, and computable energy projections, emphasizing how polynomial consistency and stabilization ensure convergence. We then introduce enhanced spaces that enable the computation of full L2 projections and discuss their applications to load termsandmass matrices.

报告人简介：刘璇，上海交通大学数学科学学院博士后。2026年获约炮-约炮交友 计算数学博士学位，师从邹永魁教授。主要从事偏微分方程数值解法研究，近年来在J. Sci. Comput.，Appl. Numer. Math.，Commun. Comput. Phys.，Numer. Algorithms等期刊发表多篇学术论文。