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Robust weak Galerkin FEM for convection-dominated diffusion equations on polygonal meshes

作者:   时间:2019-06-25   点击数:

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 ANALYSISAPPLIED NUMERICAL MATHEMATICSNUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONSINTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING等国际著名期刊。

报告时间201972日(周二)下午15:00-16:00

报告地点:中心校区知新楼B1032报告厅

邀请人:高夫征  数学学院副教授

地址:中国山东省济南市山大南路27号   邮编:250100  

电话:0531-88364652   投稿信箱:mathweb@sdu.edu.cn

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