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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.NA2022
An extended mixed finite element method for elliptic interface problems
Pei Cao, Jinru Chen, Feng Wang
In this paper, we propose an extended mixed finite element method for elliptic interface problems. By adding some stabilization terms, we present a mixed approximation form based o…