17 citations · 47 across the 19 of their papers we have counts for
20 papers
A pure source transfer domain decomposition method for Helmholtz equations in 3D unbounded domain
Xinran Bai, Yu Du, Haijun Wu
We develop and analyze a three-dimensional pure source transfer domain decomposition method (PSTDDM) for the Helmholtz equation in free space. Extending the two-dimensional PSTDDM…
Finite Element Method for a Nonlinear PML Helmholtz Equation with High Wave Number
Run Jiang, Yonglin Li, Haijun Wu +1
A nonlinear Helmholtz equation (NLH) with high wave number and Sommerfeld radiation condition is approximated by the perfectly matched layer (PML) technique and then discretized by…
A combined multiscale finite element method based on the LOD technique for the multiscale elliptic problems with singularities
Kuokuo Zhang, Weibing Deng, Haijun Wu
In this paper, we construct a combined multiscale finite element method (MsFEM) using the Local Orthogonal Decomposition (LOD) technique to solve the multiscale problems which may…
Adaptive FEM for Helmholtz Equation with Large Wave Number
Songyao Duan, Haijun Wu
A posteriori upper and lower bounds are derived for the linear finite element method (FEM) for the Helmholtz equation with large wave number. It is proved rigorously that the stand…
Hybridizable Discontinuous Galerkin Methods for Helmholtz Equation with High Wave Number. Part I: Linear case
Bingxin Zhu, Haijun Wu
This paper addresses several aspects of the linear Hybridizable Discontinuous Galerkin Method (HDG) for the Helmholtz equation with impedance boundary condition at high frequency.…
On Wellposedness and Convergence of UPML method for analyzing wave scattering in layered media
Wangtao Lu, Jun Lai, Haijun Wu
This paper proposes a novel method to establish the wellposedness and convergence theory of the uniaxial-perfectly-matched-layer (UPML) method in solving a two-dimensional acoustic…
A hybridizable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations
Gang Chen, Haijun Wu, Liwei Xu
In this paper, we aim to develop a hybridizable discontinuous Galerkin (HDG) method for the indefinite time-harmonic Maxwell equations with the perfectly conducting boundary in the…
An Adaptive Finite Element DtN Method for Maxwell's Equations in Biperiodic Structures
Xue Jiang, Peijun Li, Junliang Lv +3
Consider the diffraction of an electromagnetic plane wave by a biperiodic structure where the wave propagation is governed by the three-dimensional Maxwell equations. Based on tran…
FEM and CIP-FEM for Helmholtz Equation with High Wave Number and PML truncation
Yonglin Li, Haijun Wu
The Helmholtz scattering problem with high wave number is truncated by the perfectly matched layer (PML) technique and then discretized by the linear continuous interior penalty fi…
Superconvergence analysis of linear FEM based on the polynomial preserving recovery and Richardson extrapolation for Helmholtz equation with high wave number
Yu Du, Haijun Wu, Zhimin Zhang
We study superconvergence property of the linear finite element method with the polynomial preserving recovery (PPR) and Richardson extrapolation for the two dimensional Helmholtz…
A pure source transfer domain decomposition method for Helmholtz equations in unbounded domain
Yu Du, Haijun Wu
We propose a pure source transfer domain decomposition method (PSTDDM) for solving the truncated perfectly matched layer (PML) approximation in bounded domain of Helmholtz scatteri…
Preasymptotic error analysis of higher order FEM and CIP-FEM for Helmholtz equation with high wave number
Yu Du, Haijun Wu
A preasymptotic error analysis of the finite element method (FEM) and some continuous interior penalty finite element method (CIP-FEM) for Helmholtz equation in two and three dimen…
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 combined finite element and multiscale finite element method for the multiscale elliptic problems
Weibing Deng, Haijun Wu
The oversampling multiscale finite element method (MsFEM) is one of the most popular methods for simulating composite materials and flows in porous media which may have many scales…
Continuous Interior Penalty Finite Element Method for Helmholtz Equation with High Wave Number: One Dimensional Analysis
Lingxue Zhu, Erik Burman, Haijun Wu
This paper addresses the properties of Continuous Interior Penalty (CIP) finite element solutions for the Helmholtz equation. The -version of the CIP finite element method with…
An absolutely stable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations with large wave number
Xiaobing Feng, Haijun Wu
This paper develops and analyzes an interior penalty discontinuous Galerkin (IPDG) method using piecewise linear polynomials for the indefinite time harmonic Maxwell equations with…
Pre-asymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: version
Lingxue Zhu, Haijun Wu
In this paper, which is part II in a series of two, the pre-asymptotic error analysis of the continuous interior penalty finite element method (CIP-FEM) and the FEM for the Helmhol…
Continuous Interior Penalty Finite Element Methods for the Helmholtz Equation with Large Wave Number
Haijun Wu
This paper develops and analyzes some continuous interior penalty finite element methods (CIP-FEMs) using piecewise linear polynomials for the Helmholtz equation with the first ord…
An unfitted -interface penalty finite element method for elliptic interface problems
Haijun Wu, Yuanming Xiao
An version of interface penalty finite element method (-IPFEM) is proposed for elliptic interface problems in two and three dimensions on unfitted meshes. Error estimates…
Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number
Xiaobing Feng, Haijun Wu
This paper develops and analyzes some interior penalty discontinuous Galerkin methods using piecewise linear polynomials for the Helmholtz equation with the first order absorbing b…