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Energy-preserving Mixed Finite Element Methods for a Ferrofluid Flow Model
Home - Activities
Home - ActivitiesReporter：
Xiaoping Xie, Professor, School of Mathematics, Sichuan University
Inviter：
Liqun Cao, Professor
Subject：
Energy-preserving Mixed Finite Element Methods for a Ferrofluid Flow Model
Time and place：
14:00-15:00 December 10（Saturday）, Tencent Meeting ID: 633-876-222
Abstract：
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.