38 citations · 96 across the 15 of their papers we have counts for
17 papers
A Physics-Driven Multiscale Method for High-Frequency Helmholtz Equations
Huangxin Chen, Jianhui Chen, Shubin Fu +1
We develop and analyze a physics-driven multiscale method for model reduction of the Helmholtz equation at high frequency. The method constructs a reduced approximation space from…
An Unconditionally Energy-Stable and Orthonormality-Preserving Iterative Scheme for the Kohn-Sham Gradient Flow Based Model
Xiuping Wang, Huangxin Chen, Jisheng Kou +1
We propose an unconditionally energy-stable, orthonormality-preserving, component-wise splitting iterative scheme for the Kohn-Sham gradient flow based model in the electronic stru…
Benchmark modeling and 3D applications of solidification and macro-segregation based on an operator-splitting and fully decoupled scheme with term-wise matrix assembly
Xiaoyu Feng, Huangxin Chen, Bo Yu +1
The solidification and macro-segregation problem involving unsteady multi-physics and multi-phase fields is typically a complex process with mass, momentum, heat, and species trans…
A interior penalty method for th-Laplace equation
Huangxin Chen, Jingzhi Li, Weifeng Qiu
In this paper, we propose a interior penalty method for th-Laplace equation on bounded Lipschitz polyhedral domain in , where and can be any posi…
A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations
Huangxin Chen, Amiya K. Pani, Weifeng Qiu
In this paper, a new mixed finite element scheme using element-wise stabilization is introduced for the biharmonic equation with variable coefficient on Lipschitz polyhedral domain…
A new physics-preserving IMPES scheme for incompressible and immiscible two-phase flow in heterogeneous porous media
Huangxin Chen, Shuyu Sun
In this work we consider a new efficient IMplicit Pressure Explicit Saturation (IMPES) scheme for the simulation of incompressible and immiscible two-phase flow in heterogeneous po…
Extended HDG methods for second order elliptic interface problems
Yihui Han, Huangxin Chen, Xiao-Ping Wang +1
In this paper, we propose two arbitrary order eXtended hybridizable Discontinuous Galerkin (X-HDG) methods for second order elliptic interface problems in two and three dimensions.…
An efficient threshold dynamics method for topology optimization for fluids
Huangxin Chen, Haitao Leng, Dong Wang +1
We propose an efficient threshold dynamics method for topology optimization for fluids modeled with the Stokes equation. The proposed algorithm is based on minimization of an objec…
A fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities
Guangpu Zhu, Huangxin Chen, Aifen Li +2
In this work, we propose a fully discrete energy stable scheme for the phase-field moving contact line model with variable densities and viscosities. The mathematical model consist…
A superconvergent HDG method for the Maxwell equations
Huangxin Chen, Weifeng Qiu, Ke Shi
We present and analyze a new hybridizable discontinuous Galerkin (HDG) method for the steady state Maxwell equations. In order to make the problem well-posed, a condition of diverg…
An absolutely stable -HDG method for the time-harmonic Maxwell equations with high wave number
Peipei Lu, Huangxin Chen, Weifeng Qiu
We present and analyze a hybridizable discontinuous Galerkin (HDG) method for the time-harmonic Maxwell equations. The divergence-free condition is enforced on the electric field,…
A first order system least squares method for the Helmholtz equation
Huangxin Chen, Weifeng Qiu
We present a first order system least squares (FOSLS) method for the Helmholtz equation at high wave number k, which always deduces Hermitian positive definite algebraic system. By…
Robust a Posteriori Error Estimates for HDG method for Convection-Diffusion Equations
Huangxin Chen, Jingzhi Li, Weifeng Qiu
We propose a robust a posteriori error estimator for the hybridizable discontinuous Galerkin (HDG) method for convection-diffusion equations with dominant convection. The reliabili…
First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems
Huangxin Chen, Guosheng Fu, Jingzhi Li +1
We present and analyze a first order least squares method for convection dominated diffusion problems, which provides robust L2 a priori error estimate for the scalar variable even…
A Robust Multilevel Method for Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation
Huangxin Chen, Peipei Lu, Xuejun Xu
A robust multilevel preconditioner based on the hybridizable discontinuous Galerkin method for the Helmholtz equation with high wave number is presented in this paper. There are tw…
Multilevel Preconditioner with Stable Coarse Grid Corrections for the Helmholtz Equation
Huangxin Chen, Haijun Wu, Xuejun Xu
In this paper we consider a class of robust multilevel precontioners for the Helmholtz equation with high wave number. The key idea in this work is to use the continuous interior p…
A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number
Huangxin Chen, Peipei Lu, Xuejun Xu
This paper analyzes the error estimates of the hybridizable discontinuous Galerkin (HDG) method for the Helmholtz equation with high wave number in two and three dimensions. The ap…