Robust globally divergence-free Weak Galerkin finite element method for incompressible Magnetohydrodynamics flow
M Zhang, T Zhang, X Xie - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
This paper develops a weak Galerkin (WG) finite element method of arbitrary order for the
steady incompressible Magnetohydrodynamics equations. The WG scheme uses piecewise …
steady incompressible Magnetohydrodynamics equations. The WG scheme uses piecewise …
Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems
This article focuses on numerical approximations of the ferrohydrodynamic (FHD)
Rosensweig model of ferrofluids, which comprises the Navier–Stokes equations, the angular …
Rosensweig model of ferrofluids, which comprises the Navier–Stokes equations, the angular …
Mixed finite element methods for the ferrofluid model with magnetization paralleled to the magnetic field
Y Wu, X Xie - arXiv preprint arXiv:2208.05118, 2022 - arxiv.org
Mixed finite element methods are considered for a ferrofluid flow model with magnetization
paralleled to the magnetic field. The ferrofluid model is a coupled system of the Maxwell …
paralleled to the magnetic field. The ferrofluid model is a coupled system of the Maxwell …
Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme
A Keram, P Huang - ZAMM‐Journal of Applied Mathematics …, 2024 - Wiley Online Library
In this paper, we design a decoupled, linear, unconditionally stable and fully discrete
numerical scheme for a ferrohydrodynamics system with second‐order temporal accuracy …
numerical scheme for a ferrohydrodynamics system with second‐order temporal accuracy …
Error Estimates of Finite Element Method for the Incompressible Ferrohydrodynamics Equations
S Mao, J Sun - Communications on Applied Mathematics and …, 2024 - Springer
In this paper, we consider the Shliomis ferrofluid model and study its numerical
approximation. We investigate a first-order energy-stable fully discrete finite element scheme …
approximation. We investigate a first-order energy-stable fully discrete finite element scheme …
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model
In this paper, we consider mixed finite element semi-/full discretizations of the Rosensweig
ferrofluid flow model. We first establish some regularity results for the model under several …
ferrofluid flow model. We first establish some regularity results for the model under several …