Abstract 

In this talk, we will firstly introduce a one-domain approach of modeling based on Brinkman to simulate the fluid flow over a porous medium. Then we apply the one-domain approach of modeling in fluid topology optimization. A threshold dynamics method will be introduced and the stability analysis will be shown. Then in order to improve the efficiency of solution of Brinkman equation, the adaptive HDG method for Brinkman equation will be introduced and extended to the Brinkman optimal control problem. Numerical results will be provided to validate the analysis. 

Short bio 

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 SINUM, SISC, Numer. Math.等计算数学领域著名期刊。