报告题目：Stabilized Hybrid Mixed Element Method for Poroelasticity
报告人：芮洪兴 教授（山东大学）
邀请人：宋怀玲
时间：6月1日上午10:00-11:00
腾讯会议：516-969-795（无密码）
报告摘要：In this talk, we will present a hybrid mixed finite element method for poroelasticity model. The hybrid discretization of the displacement-pressure-Darcy’s velocity system of Biot’s model presented is not uniformly stable with respect to the physical parameters, resulting in some issues in numerical simulations. To alleviate such problems, we stabilize the hybrid scheme with bubble functions and show the well-posedness with respect to physical and discretization parameters. We introduce a perturbation of the bilinear form of the displacement which allows for the elimination of the bubble functions. Together with eliminating Darcy’s velocity by hybridization, we obtain an eliminated system whose size is the same as the classical P1-RT0-P0 discretization. Numerical experiments are presented to confirm the theoretical results of the stabilized scheme as well as the block preconditioners. We will also present some ongoing works on poroelastic problem briefly.
报告人简介：
芮洪兴，山东大学数学学院教授、博士生导师、数学学院副院长。中国工业与应用数学学会常务理事兼油水资源数值方法专委会主任、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、科学与工程计算、渗流力学、油水资源数值模拟方法及应用软件开发等计算数学与应用数学研究。在有限元方法、混合元方法、有限体积元方法、特征线算法、区域分裂及并行算法、以及油水资源数值模拟方法研究方面发表论文150余篇，其中SCI收录100余篇。近年来芮洪兴教授承担、参与国家自然科学基金重大研究计划培育项目、面上项目、教育部博士点项目、科技部重大专项、中石化课题等20余项，先后获得山东省高校自然科学一等奖(2003) 、山东省科学技术奖自然科学二等奖(2015);并作为主要完成人获教育部自然科学一等奖 (2003)、水利部科技进步三等奖 (1998)、国家教委科技进步二等奖(1997)各一项。
