报告题目：Some Algorithms for Biot Model with Applications in Brain Swelling Simulation

报告时间：2021年11月1日，星期一，上午10:30－12:00（北京时间）

报告地点：腾讯会议 ID 985 505 355

报告人：Mingchao Cai, Morgan State University, Maryland, USA

报告摘要: 

In this talk, we present some algorithms for Biot’s model. In the first algorithm, a stabilized Finite Element discretization is applied. To solve the resulting saddle point linear systems, some preconditioners and iterative methods are proposed. In the preconditioners, the Schur complement approximation is derived by using a Fourier analysis approach. We also discuss a multiphysics reformulation of the Biot model. The Biot model can be viewed as a generalized Stokes subproblem combining with a reaction-diffusion subproblem. A coupled algorithm and a decoupled algorithm are then devised. As applications of these algorithms, we study brain edema under different configurations. Specifically, based on a 2D MRI data, elaborate numerical experiments are conducted to study the effects of physical parameters on brain swelling.

报告人简介：

Dr. Mingchao Cai received his Phd in computational and applied math from HongKong University of Science and Technology (HKUST). Before joining Morgan State University, he worked in several universities including TU-Dortmund and Courant Institute at New York University. His main interests are modeling and numerical simulations of fluid/structure problems with multiphysics, fast iterative solvers, and parallel computing.