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math.NA2026

An FFT-Accelerated Boundary Integral Equation Method for Wave Scattering by Smooth Surfaces in Three Dimensions

Wenmao Hua, Jun Lai, Huiyi Li +1

For wave scattering by axisymmetric surfaces, the fast Fourier transform (FFT) method provides an effective tool to accelerate standard boundary integral equation (BIE) solvers. Su…

math.NA2025

A boundary integral equation method for wave scattering in periodic structures via the Floquet-Bloch transform

Wangtao Lu, Kuanrong Shen, Ruming Zhang

This paper is concerned with the problem of an acoustic wave scattering in a locally perturbed periodic structure. As the total wavefield is non-quasi-periodic, effective truncatio…

math.NA2024

An FFT-accelerated PML-BIE Solver for Three-Dimensional Acoustic Wave Scattering in Layered Media

Hangya Wang, Wangtao Lu

This paper is concerned with three-dimensional acoustic wave scattering in two-layer media, where the two homogeneous layers are separated by a locally perturbed plane featuring an…

math.NA2024

PML-based boundary integral equation method for electromagnetic scattering problems in a layered-medium

Gang Bao, Wangtao Lu, Tao Yin +1

This paper proposes a new boundary integral equation (BIE) methodology based on the perfectly matched layer (PML) truncation technique for solving the electromagnetic scattering pr…

math.NA2023

Does PML exponentially absorb outgoing waves scattering from a periodic surface?

Wangtao Lu, Kuanrong Shen, Ruming Zhang

The PML method is well-known for its exponential convergence rate and easy implementation for scattering problems with unbounded domains. For rough-surface scattering problems, aut…