报告题目 (Title)：A modified interior penalty virtual element method for fourth-order singular perturbation problems
中文题目：针对四阶奇异摄动问题的修正内罚虚拟元方法
报告人 (Speaker)：余跃 副教授（湘潭大学）
报告时间 (Time)：2025年4月19日 (周六) 10:30
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：纪丽洁
主办部门：8455新葡萄场网站数学系
摘要：This work is dedicated to the numerical solution of a fourth-order singular perturbation problem using the interior penalty virtual element method (IPVEM). Compared with the original IPVEM proposed by Zhao et al., the study introduces modifications to the jumps and averages in the penalty term, as well as presents a mesh-dependent selection of the penalty parameter. Drawing inspiration from the modified Morley finite element methods, we leverage the conforming interpolation technique to handle the lower part of the bilinear form in the error analysis. We establish the optimal convergence in the energy norm and provide a rigorous proof of uniform convergence concerning the perturbation parameter in the lowest-order case.
