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.NA2026
A Mixed Extended Virtual Element Method for Elliptic Interface Problems on Polygonal Meshes
Xianyan Zheng, Jinru Chen, Feng Wang
We propose a lowest-order \(H(\operatorname{div})\)-conforming mixed extended virtual element method for elliptic interface problems on interface-unfitted polygonal meshes. The flu…
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…