This paper is to develop immersed finite element (IFE) functions for solving second order
elliptic boundary value problems with discontinuous coefficients and non-homogeneous …

This article discusses a bilinear immersed finite element (IFE) space for solving second‐
order elliptic boundary value problems with discontinuous coefficients (interface problem) …

This article presents three Crank‐Nicolson‐type immersed finite element (IFE) methods for
solving parabolic equations whose diffusion coefficient is discontinuous across a time …

We present a unified framework for develo** and analyzing immersed finite-element (IFE)
spaces for solving typical elliptic interface problems with interface-independent meshes …

Motivated by the need to handle complex boundary conditions efficiently and accurately in
particle-in-cell (PIC) simulations, this paper presents a three-dimensional (3D) linear …

This article is to discuss the linear (which was proposed in [18, 19]) and bilinear immersed
finite element (IFE) methods for solving planar elasticity interface problems with structured …

This article analyzes the error in both the bilinear and linear immersed finite element (IFE)
solutions for second‐order elliptic boundary problems with discontinuous coefficients. The …

In this dissertation we discuss bilinear immersed finite elements (IFE) for solving interface
problems. The related research works can be categorized into three aspects:(1) the …

In science and engineering, many simulations are carried out over domains consisting of
multiple materials separated by curves/surfaces. If partial differential equations (PDEs) are …

This paper is to present a finite volume element (FVE) method based on the bilinear
immersed finite element (IFE) for solving the boundary value problems of the diffusion …