报告题目：Decoupled modified characteristic finite element method for the time-dependent Navier–Stokes/Biot problem

报告人： 郭利明 博士

报告时间：2022年11月23日14：30—15：15

报告地点：威廉希尔315报告厅

报告摘要：A  decoupled modified characteristic finite element method is proposed for the time-dependent Navier–Stokes/Biot problem. In the numerical scheme, the implicit backward Euler scheme is used for the time discretization,  whereas the coupling terms are treated explicitly. At each time step, we only need to solve two decoupled problems, one is the Navier–Stokes equations solved by the modified characteristic finite element method, and the other is Biot equations. The stability and the error estimates are established for the proposed fully discrete scheme. Numerical experiments are provided to illustrate the theory.

郭利明，博士，2015年获得同济大学理学博士学位，主要从事偏微分方程数值解等方面的研究，在学术期刊Computers & Mathematics with Applications， Numerical Methods for Partial Differential Equations，Mathematical Methods in the Applied Science，Journal of Computational and Applied Mathematics和International Journal of Computer Mathematics等发表SCI论文6篇。