报告题目：Robust weak Galerkin FEM for convection-dominated diffusion equations on polygonal meshes

报告人：祝鹏副教授    嘉兴学院

报告摘要：Convection-dominated flow problems play an important role in a wide range of applications, such as gas and fluid dynamics, transport of contaminants in porous media, etc. It is well known that standard FEMs break down for highly convection-dominated problems. In this talk, we first introduce a weak Galerkin finite element scheme, which has upwinding flavor, for steady convection-dominated equations. Then we extend the weak Galerkin method to unsteady convection diffusion equations and nonlinear convection diffusion equations. A priori error estimates are devised in a suitable norm. Numerical examples are provided to confirm theoretical findings.

报告人简介：祝鹏，嘉兴学院数理与信息工程学院副教授。2010年毕业于湖南大学计算数学专业，获博士学位。主要研究方向包括：对流扩散型奇异摄动问题的健壮数值方法、间断有限元方法和弱有限元方法的先验和后验误差估计。相关研究成果发表在SIAM JOURNAL ON NUMERICAL ANALYSIS，APPLIED NUMERICAL MATHEMATICS，NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS，INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING等国际著名期刊。

报告时间：2019年7月2日（周二）下午15:00-16:00

报告地点：中心校区知新楼B座1032报告厅

邀请人：高夫征  数学学院副教授