报告题目：

Lowest-order Weak Galerkin (WG) FEMs for Elliptic and Elastic Equations on General Polygonal Meshes

报告时间: 2018年7月2日10点00分-11点00分

报告地点: 数学院大会议室

报告人: 刘江国 教授 （科罗拉多州立大学）

内容摘要：

This talk presents the lowest-order weak Galerkin (WG) finite element method for Darcy flow or elliptic boundary value problems on general convex polygonal meshes. In this approach, constants are used in element interiors and on edges to approximate the primal variable (pressure). The discrete weak gradients of these constant basis functions are established in simple H(div)-subspaces on polygons that are explicitly constructed by using the normalized coordinates and Wachspress coordinates. These discrete weak gradients are used to approximate the classical gradient in the variational form. No penalization is needed for this new method. The method results in symmetric positive-definite sparse linear systems. It is locally mass-conservative, and produces continuous normal fluxes. The new method has optimal-order convergence in pressure (primal variable), velocity, and normal flux, when the convex polygon meshes are shape-regular. Extension to planar elasticity is also discussed.

报告人简介: 刘江国，美国科罗拉多州立大学学教授、博士生导师、国际SCI期刊《Journal of Computational and Applied Mathematics》 副主编，SIAM Central States Section President，已发表学术论文40余篇，主持多项美国国家自然科学基金。