Topic：Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Stokes/Darcy model
Speaker: Prof. Hou Yanren, from Xi'an Jiaotong University
Date: May 13, 2019
Time: 4:00pm
Venue: Room 224, Naihai Building

Introduction：Although the numerical results suggest the optimal convergence order of the two-grid finite element decoupled scheme for mixed Stokes–Darcy model with Beavers–Joseph–Saffman interface condition in literatures, the numerical analysis only gets the optimal error order for porous media flow and a non-optimal error order that is half order lower than the optimal one in fluid flow. In this talk, we study the optimal error estimation of the mentioned decoupled scheme and try to fill the gap between the numerical results and the numerical analysis results.

Introduction to speaker: Prof. Hou Yanren, a doctoral supervisor in Xi'an Jiaotong University, mainly engaged in the research of effective and stable numerical method of fluid mechanics equations. He has published more than 100 academic papers in various academic journals such as SIAM J.Numer. Anal., SIAM J. Sci.Comput., Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering, Advances in Computational Mathematics, Nonlinear Analysis etc.. He is executive director of the 9th council of Chinese Society of Computational Mathematics, executive director Shaanxi Society for Industrial and Applied Mathematics as well as an editorial board member of Numerical Mathematics A Journal of Chinese Universities. He has presided over six programs of National Natural Science Foundation of China and a project of Ph.D. Programs Foundation(Doctoral Supervisors) of Ministry of Education of China. As the 4th, the 3rd and the 1st investigator respectively, Prof. Hou won second prize of Shaanxi Science and Technology Prize in 2003, of natural science prizes of Ministry of Education in 2004 and of Shaanxi Science and Technology Prize in 2015.