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math.NA2021
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…
math.NA2020
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.…
math.NA2019
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…