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20212026
most citedAn immersed - element for Stokes interface problems and the optimal convergence analysis

13 citations · 18 across the 5 of their papers we have counts for

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5 papers

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…

math.NA2021★ 13 cited

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.NA2021★ 3 cited

Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems

Haifeng Ji, Feng Wang, Jinru Chen +1

In this paper, an important discovery has been found for nonconforming immersed finite element (IFE) methods using the integral values on edges as degrees of freedom for solving el…

math.NA2021★ 2 cited

A new parameter free partially penalized immersed finite element and the optimal convergence analysis

Haifeng Ji, Feng Wang, Jinru Chen +1

This paper presents a new parameter free partially penalized immersed finite element method and convergence analysis for solving second order elliptic interface problems. A lifting…