报告人：芮洪兴教授

报告题目：A low order divergence-free H(div)-conforming finite element method for Stokes flows

报告摘要：

(1) In this talk, we propose a P1⊕RT0 - P0 discretization of the Stokes equations on general simplicial meshes in 2D/3D, which yields an exactly divergence-free and pressure independent velocity approximation with optimal order. Our method has the following features. Firstly, the global number of the degrees of freedom of our method is the same as the low order Bernardi and Raugel (B-R) finite element method while the number of the non-zero entries of the former is about half of the latter in the velocity-velocity region of the coefficient matrix.

(2) Secondly, the component of the velocity, the RT0 component of the velocity and the pressure seem to solve a popular RT0−P0 discretization of a poroelastic-type system formally. Finally, our method can be easily transformed into a pressure-robust and stabilized P1-P0 discretization for the Stokes problem. Numerical experiments illustrating the robustness of our method are also provided. 

报告时间：2022年5月28日08:00-11:00

报告形式：腾讯会议；会议号：222-861-620

报告人简介：芮洪兴，山东大学数学学院教授、副院长。芮教授本硕博均毕业于山东大学。现任中国工业与应用数学学会常务理事、中国计算物理学会常务理事，曾任中国计算数学学会常务理事。主要从事偏微分方程数值解法、渗流力学、油水资源数值模拟及应用软件开发研究。在有限元方法、混合元方法、有限体积元方法、特征线算法及油水资源数值模拟研究方面发表SCI论文100余篇。主持国家科技重大专项、国自然重大研究计划培育项目及面上项目等课题20余项，获山东省高校自然科学一等奖(2003)、山东省自然科学二等奖(2015)及教育部自然科学一等奖(2003)等奖励。