登录
学术活动
Energy-preserving Mixed Finite Element Methods for a Ferrofluid Flow Model
首页 - 学术活动
首页 - 学术活动报告人：
Xiaoping Xie, Professor, School of Mathematics, Sichuan University
邀请人：
Liqun Cao, Professor
题目：
Energy-preserving Mixed Finite Element Methods for a Ferrofluid Flow Model
时间地点：
14:00-15:00 December 10（Saturday）, Tencent Meeting ID: 633-876-222
摘要：
We develop a class of mixed finite element methods for the ferrofluid flow model proposed by Shliomis [Soviet Physics JETP, 1972]. We show that the energy stability of the weak solutions to the model is preserved exactly for both the semi- and fully discrete finite element solutions. Furthermore, we prove the existence and uniqueness of the discrete solutions and derive optimal error estimates for both the semi- and fully discrete schemes. Numerical experiments confirm the theoretical results.