报告人：Yuki Ueda 研究员（香港理工大学）

报告人简介：Yuki Ueda，香港理工大学研究员，于2013年获得东京大学学士学位，2015年获得东京大学硕士学位，2018年获得东京大学博士学位。他的主要研究方向为PDE的科学计算和数值分析，尤其是有限元方法的理论分析。

（一）报告题目：The inf-sup condition and error estimate of the Nitsche method for evolutionary diffusion-advection-reaction equations

报告摘要：The Nitsche method is a method of “weak imposition” of the Dirichlet boundary conditions for partial differential equations. The stability and error estimate of Nitsche method for evolutionary diffusion-advection-reaction equations are studied by the variational method, which is popular method for studying the elliptic problems. The inf-sup condition and Galerkin orthogonality give the optimal order error estimate in some appropriate norms under regularity assumptions on the exact solution.

报告时间：2019年6月12日（星期三）晚上18:30

报告地点：科技楼南楼702室

（二）报告题目：Space-time computation technique with continuous representation in time (ST-C): mathematical analysis and numerical examples

报告摘要：Space-time (ST) computational analysis, including the deforming-spatial-domain/stabilized space-time (DSD/SST) method is usually based on the discontinuous Galerkin (DG) method in time. This enables to avoid computing on the entire of space-time domain at a time. Also ST computation technique with continuous representation in time (ST-C) can provide this advantage in spite of using basis functions which are globally smooth in time. We can obtain better accuracy and efficiency for temporal representation in fewer degrees of freedom. Mathematical analysis of ST-C with successive projection technique (SPT) and Numerical examples of ST-C with direct computation technique (DCT) are presented.

报告时间：2019年6月13日（星期四）上午9:30

报告地点：科技楼南楼602室