3 papers
math.NA2026
Numerical solutions of an accurate diffuse interface model of the incompressible resistive MHD free surface flow
Maojun Li, Jiancheng Wang, Zeyu Xia +1
In this paper, we derive a new model to simulate the incompressible resistive magnetohydrodynamic (MHD) free surface flow. A thermodynamically consistent diffuse interface method i…
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…