4 papers
Spherical Perfectly Matched Layer Method for Electromagnetic Scattering Problems with Large Wave Number
Jian Shi, Yonglin Li, Haijun Wu
We study a spherical perfectly matched layer (PML) method for the time-harmonic Maxwell scattering problem with large wavenumber. Using vector spherical harmonics and a modal trans…
The effect of numerical integration in the FEM for elliptic problems with mixed boundary conditions
Juan Han, Haijun Wu
This paper investigates the impact of quadrature accuracy for volume and face integrals in the finite element method using -th order polynomial shape functions for elliptic prob…
Adaptive Finite Element Method for a Nonlinear Helmholtz Equation with High Wave Number
Run Jiang, Haijun Wu, Yifeng Xu +1
A nonlinear Helmholtz (NLH) equation with high frequencies and corner singularities is discretized by the linear finite element method (FEM). After deriving some wave-number-explic…
Higher-order FEM and CIP-FEM for Helmholtz equation with high wave number and perfectly matched layer truncation
Yonglin Li, Haijun Wu
The high-frequency Helmholtz equation on the entire space is truncated into a bounded domain using the perfectly matched layer (PML) technique and subsequently, discretized by the…