3 papers
math.NA2026
A Pressure-Robust Nonconforming Immersed Finite Element Method for Stokes Interface Problems
Haifeng Ji, Feng Wang
It is well established that an appropriate modification of test functions may lead to pressure-robust mixed methods for Stokes problems. However, for immersed finite element approx…
math.NA2025
An immersed - element for Stokes interface problems and the optimal convergence analysis
Haifeng Ji, Feng Wang, Jinru Chen +1
This paper presents and analyzes an immersed finite element (IFE) method for solving Stokes interface problems with a piecewise constant viscosity coefficient that has a jump acros…
math.NA2025
An Immersed Finite Element Method for Anisotropic Elliptic Interface Problems with Nonhomogeneous Jump Conditions
Haifeng Ji, Zhilin Li
A new finite element method (FEM) using meshes that do not necessarily align with the interface is developed for two- and three-dimensional anisotropic elliptic interface problems…