報告題目：Error analysis of the second-order serendipity virtual element method for semilinear pseudo-parabolic equations on curved domains
報告人：趙景軍 教授 哈爾濱工業大學
報告時間：2024年7月2日17:00-18:00
報告地點：數學樓三樓6研究室
校内聯系人：鄒永魁，zouyk@jlu.edu.cn
報告摘要：
The second-order serendipity virtual element method is studied for semilinear pseudo-parabolic equations on curved domains in this report. The existence and uniqueness are investigated for the weak solution of nonhomogeneous initial-boundary value problem. Nitsche-based projection method is adopted to impose the boundary conditions in a weak way. The interpolation operator is used to deal with the nonlinear term. The Crank-Nicolson scheme is employed to discretize the temporal variable. There are two main features of the proposed scheme: (i) the internal degrees of freedom are avoided no matter what type of mesh is utilized, and (ii) the Jacobian is simple to calculate when Newton's iteration method is applied to solve the fully discrete scheme. The error estimates are established for the discrete schemes and the theoretical results are illustrated through some numerical examples.
報告人簡介：趙景軍，哈爾濱工業大學伟德线上平台教授、博士生導師。哈爾濱工程大學兼職教授、博士生導師。曾訪問劍橋大學、阿爾伯塔大學、香港大學、中科院數學與系統科學研究院。現任黑龍江省工業與應用數學學會常務理事。主要從事微分方程數值解的研究。在SIAM J. Numer. Anal.和J. Sci. Comput.等期刊發表SCI論文80餘篇，主持和參加國家自然科學基金、國防預研基金多項。先後獲中國高校自然科學二等獎、黑龍江省科學技術二等獎。
