2 citations · 4 across the 7 of their papers we have counts for
8 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…
On perfectly matched layers of nonlocal wave equations in unbounded multi-scale media
Yu Du, Jiwei Zhang
A nonlocal perfectly matched layer (PML) is formulated for the nonlocal wave equation in the whole real axis and numerical discretization is designed for solving the reduced PML pr…
Perfectly Matched Layers for nonlocal Helmholtz equations II: multi-dimensional cases
Yu Du, Jiwei Zhang
Perfectly matched layers (PMLs) are formulated and applied to numerically solve nonlocal Helmholtz equations in one and two dimensions. In one dimension, we present the PML modific…
Numerical solution of a one-dimensional nonlocal Helmholtz equation by Perfectly Matched Layers
Yu Du, Jiwei Zhang
We consider the computation of a nonlocal Helmholtz equation by using Perfectly Matched Layer (PML). We first derive the nonlocal PML equation by extending PML modifications from t…
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…
Superconvergence analysis of DG-FEM based on the polynomial preserving recovery for Helmholtz equation with high wave number
Yu Du, Zhimin Zhang
We study superconvergence property of the linear discontinuous Galerkin finite element method with the polynomial preserving recovery (PPR) and Richardson extrapolation for the two…
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…