汇报标题 (Title)：Error estimates of serendipity virtual element methods for semilinear parabolic integro-differential equations on curved domains（曲边域上半线性抛物积分-微分方程serendipity虚构元步骤的误差估计）
汇报人 (Speaker)：赵景军 教授（哈尔滨工业大学）
汇报功夫 (Time)：2026年5月21日（周四）9:30
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：李常品、蔡敏
主办部门：理学院数学系
汇报提要：Under certain conditions of the mesh and the degree of approximation, the serendipity virtual element method eliminates all the internal-moment degrees of freedom. The strategy of approximating curved domains with polygonal domains is taken into consideration. To overcome the suboptimal convergence caused by enforcing Dirichlet boundary conditions strongly, Nitsche-based projection method is employed to impose the boundary conditions weakly. For time discretization, Crank-Nicolson scheme incorporating trapezoidal quadrature rule is adopted. Moreover, error estimates are derived for the fully discrete scheme. Finally, the extension of the fully discrete scheme to 3D case is also included.
