activity
20192022
most citedA Fourier-matching Method for Analyzing Resonance Frequencies by a Sound-hard Slab with Arbitrarily Shaped Subwavelength Holes

2 citations · 3 across the 7 of their papers we have counts for

collaborators
Showing math.NAShow all

5 papers · 1 filter

math.NA2022

A highly accurate perfectly-matched-layer boundary integral equation solver for acoustic layered-medium problems

Wangtao Lu, Liwei Xu, Tao Yin +1

Based on the perfectly matched layer (PML) technique, this paper develops a high-accuracy boundary integral equation (BIE) solver for acoustic scattering problems in locally defect…

math.NA20211 cited

PML and high-accuracy boundary integral equation solver for wave scattering by a locally defected periodic surface

Xiuchen Yu, Guanghui Hu, Wangtao Lu +1

This paper studies the PML method for wave scattering in a half space of homogeneous medium bounded by a two-dimensional, perfectly conducting, and locally defected periodic surfac…

math.NA2020

Resonance Frequencies of a Slab with Subwavelength Slits: a Fourier-transformation Approach

Jiaxin Zhou, Wangtao Lu

This paper proposes a novel, rigorous and simple Fourier-transformation approach to study resonances in a perfectly conducting slab with finite number of subwavelength slits of wid…

math.NA2020

Mathematical analysis of wave radiation by a step-like surface

Wangtao Lu

This paper proposes, for wave propagating in a globally perturbed half plane with a perfectly conducting step-like surface, a sharp Sommerfeld radiation condition (SRC) for the fir…

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…