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

In the past few decades, ion engines have been widely used in deep-space propulsion and
satellite station-kee**. The aim of extending the thruster lifetime is still one of the most …

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 …

A new immersed finite element (IFE) method is developed for second-order elliptic problems
with discontinuous diffusion coefficient. The IFE space is constructed based on the rotated …

Accelerator grid hole shift is a critical reason for erosion failure of optic systems in ion
thrusters, which may also cause an unexpected roll torque about the ion beam axis. A three …

In this paper, we derive a priori error estimates for a class of interior penalty discontinuous
Galerkin (DG) methods using immersed finite element (IFE) functions for a classic second …

In order to simulate the Kaufman-type discharge problems, a fully decoupled iterative
method with anisotropic immersed finite elements on Cartesian meshes is proposed …

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 …

We present a particle-in-cell (PIC) method using a nonhomogeneous immersed-finite-
element (IFE) field solver for modeling dielectric surface charging of complex-shaped …

This paper presents a recently developed particle simulation code package PIFE-PIC, which
is a novel three-dimensional (3-D) parallel immersed finite element (IFE) particle-in-cell …