2 papers
math.NA2025
Modeling and simulation of inductionless magnetohydrodynamic free surface problems with unmatched densities
Jiancheng Wang, Maojun Li, Zeyu Xia +1
We propose a new diffuse interface model for simulating an inductionless magnetohydrodynamic (MHD) free surface problem. By using the Onsager's variational principle and the laws o…
math.NA2025
Optimal error estimates of a second-order temporally finite element method for electrohydrodynamic equations
Shengfeng Wang, Zeyu Xia, Maojun Li
In this work, we mainly present the optimal convergence rates of the temporally second-order finite element scheme for solving the electrohydrodynamic equation. Suffering from the…