Mixed weak Galerkin method on curved domains
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：2022-05-12 16:30 —— 2022-04-19 12:32
：腾讯会议ID：153327738（无密码）
报告人：汪艳秋（南京师范大学）
时 间：5月12日下午16:30
地 点：腾讯会议ID：153327738（无密码）
内容摘要:
This talk focuses on the weak Galerkin (WG) mixed finite element method for second order elliptic equations on 2D domains with curved boundary. It is well-known that the discrepancy between the curved physical domain and the polygonal approximation domain leads to a loss of accuracy for high order discretizations. We propose a simple solution using the nice feature of the WG method that it can be defined on polygonal meshes. Curved boundary can then be better approximated by polygons with many short edges. The main advantage of this approach is its simplicity in the implementation. We show that a boundary correction technique can be further employed to reduce the number of short edges needed in order to reach optimal convergence. Numerical results agree well with the theoretical predictions.
个人简介：
汪艳秋，南京师范大学数学科学学院教授，博士生导师，国家高层次青年人才。本科与硕士毕业于复旦大学，2004年博士毕业于德克萨斯农工大学，曾先后在普度大学和俄克拉何马州立大学工作，2016年入职南京师范大学。长期从事有限元方法的研究，近期主要关注多边形与多面体网格上的数值方法的构造、分析、与应用，特别是基于广义重心坐标的协调与非协调有限元离散、弱有限元方法和间断有限元方法等。
联系人：邱建贤
