7 papers
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…
FePySR: A Neural Feature Extraction Framework for Efficient and Scalable Symbolic Regression
Zhiming Yu, Wangtao Lu, Xin Lai
A fundamental challenge in symbolic regression (SR) is efficiently recovering complex mathematical expressions from observational data. Although this problem is NP-hard, many expre…
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…
Parallel overlapping-domain decomposition FDFD for large-scale complex nanostructures modeling
Zhanwen Wang, Chengnian Huang, Wangtao Lu +2
The increasing complexity and scale of photonic and electromagnetic devices demand efficient and accurate numerical solvers. In this work, we develop a parallel overlapping domain…
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…
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…
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…