报告题目：Modeling and simulation of flow in fractured porous media: adaptation and multiscale approximation

主讲人：陈黄鑫 教授

单位：厦门大学

时间：2022年12月5日15:00

腾讯会议：931-185-544

摘要：In this talk we will introduce the adaptive mixed FEM and adaptive IP-HDG method for the Darcy flow in fractured porous media. The discrete fracture model (DFM) is applied to model the fractures. We derive robust residual-based a posteriori error estimator for the problem with non-intersecting fractures. The reliability and efficiency of the a posteriori error estimator are established for the error measured in an energy norm. We will also introduce the multiscale approximation for simulating the Darcy flow in fractured porous media with complex fractures distribution. Numerical results will be shown to demonstrate the efficiency of the adaptive algorithms and the multiscale approximations.

简介：陈黄鑫，厦门大学数学科学学院教授。2006年获得湖南大学理学学士学位，2011年获得中国科学院数学与系统科学研究院理学博士学位。主要从事自适应有限元方法、多重网格方法、间断有限元方法、多孔介质中的流动输运问题以及流体拓扑优化等。部分成果发表在Numer. Math., SINUM, SISC, JCP等计算数学领域著名期刊。