13 citations · 19 across the 9 of their papers we have counts for
9 papers
Quadrilateral and Hexahedral Immersed Finite Element Methods for Elliptic Interface Problems
Fangfang Qin, Haifeng Ji
Immersed finite element (IFE) methods provide an effective framework for solving interface problems on unfitted meshes. The basic idea underlying IFE methods is to modify standard…
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…
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…
A Mini Immersed Finite Element Method for Two-Phase Stokes Problems on Cartesian Meshes
Haifeng Ji, Dong Liang, Qian Zhang
This paper presents a mini immersed finite element (IFE) method for solving two- and three-dimensional two-phase Stokes problems on Cartesian meshes. The IFE space is constructed f…
An immersed Crouzeix-Raviart finite element method in 2D and 3D based on discrete level set functions
Haifeng Ji
This paper is devoted to the construction and analysis of immersed finite element (IFE) methods in three dimensions. Different from the 2D case, the points of intersection of the i…
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…
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…
An immersed Raviart-Thomas mixed finite element method for elliptic interface problems on unfitted meshes
Haifeng Ji
This paper presents a lowest-order immersed Raviart-Thomas mixed triangular finite element method for solving elliptic interface problems on unfitted meshes independent of the inte…
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…