报告人：赵景军（哈尔滨工业大学）

邀请人：张诚坚

报告时间：2024年5月11日（星期六）14:30-16:30

报告地点：科技楼南楼706室

报告题目：Error analysis of the second-order serendipity virtual element method for semilinear pseudo-parabolic equations on curved domains

报告摘要：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.

报告人简介：赵景军，哈尔滨工业大学数学学院教授、博士生导师。哈尔滨工程大学兼职教授、博士生导师。曾访问剑桥大学、阿尔伯塔大学、香港大学、中科院数学与系统科学研究院。现任黑龙江省工业与应用数学学会常务理事。主要从事微分方程数值解的研究。在SIAM J. Numer. Anal.和J. Sci. Comput.等期刊发表SCI论文80余篇，主持和参加国家自然科学基金、国防预研基金多项。先后获中国高校自然科学二等奖、黑龙江省科学技术二等奖。