欢迎光临!
您现在所在的位置:首页 >> 通知公告 & 学术信息
科学研究
RESEARCH
Lower order $H^m$-nonconforming virtual elements in two and three dimensions
时间  Datetime
2020-10-15 09:30 — 11:30
地点  Venue
教室(630)
报告人  Speaker
黄学海教授
单位  Affiliation
上海财经大学数学学院
邀请人  Host
黄建国
备注  remarks
报告摘要  Abstract

$H^m$-nonconforming virtual elements for $m=1,2,3$ in two and three dimensions are constructed in a universal way. A generalized Green's identity for $H^m$ inner product is essential to devise the $H^m$-nonconforming virtual elements. In this talk, we will focus on the details of the weak continuity, the optimal error estimate of the canonical interpolation, and the norm equivalence of the stabilization term. The norm equivalence of the stabilization on the kernel of the local $H^m$ projection is proved by using the bubble function technique, the Poincar'e inquality and the trace inequality.