Energy-stable and efficient finite element schemes for the Shliomis model of ferrofluid flows

• Published in: Advances in computational mathematics Vol. 51; no. 4
• Main Authors: Zhang, Guo-Dong, Pan, Kejia, He, Xiaoming, Yang, Xiaofeng
• Format: Journal Article
• Language: English
• Published: New York Springer Nature B.V 01.08.2025
• Subjects: Controllability; Ferrofluids; Finite element method; Mathematical analysis; Mathematical models; Stability

In this paper, we aim to design two energy-stable and efficient finite element schemes for simulating the ferrofluid flows based on the well-known Shliomis model. The model is a highly nonlinear, coupled, multi-physics system, consisting of the Navier–Stokes equations, magnetostatic equation, and ma...