This article presents new immersed finite element (IFE) methods for solving the popular
second order elliptic interface problems on structured Cartesian meshes even if the involved …

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 presents an immersed finite element (IFE) method for solving the typical three-
dimensional second order elliptic interface problem with an interface-independent Cartesian …

This article presents a meshless method to solve three-dimensional elliptic interface
problem. The method is based on the generalized finite difference method, which expresses …

We present a high order immersed finite element (IFE) method for solving the elliptic
interface problem with interface-independent meshes. The IFE functions developed here …

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

This article proposes a nonconforming immersed finite element (IFE) method for solving
planar elasticity interface problems with structured (or Cartesian) meshes even if the …

This article presents the first higher degree immersed finite element (IFE) method with
proven optimal convergence for elliptic interface problems with nonhomogeneous jump …

This article develops and analyzes ap th degree immersed finite element (IFE) method for
solving the elliptic interface problems with meshes independent of the coefficient …

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