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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 axially symmetric perturbation. A fast novel boundary…

Numerical Analysis · Mathematics 2024-12-17 Hangya Wang , Wangtao Lu

A LightGBM-Incorporated absorbing boundary condition (ABC) computation approach for the wave-equation-based the radial point interpolation meshless (RPIM) method is proposed to simulate wave propagation in open space during the computation…

Computational Physics · Physics 2025-05-13 Qi-Chang Dong , Zhizhang David Chen

Accurately predicting wave-structure interactions is critical for the effective design and analysis of marine structures. This is typically achieved using solvers that employ the boundary element method (BEM), which relies on linear…

Computational Engineering, Finance, and Science · Computer Science 2025-09-04 Kapil Khanal , Carlos A. Michelén Ströfer , Matthieu Ancellin , Maha Haji

This study develops a theoretical framework for modeling acoustic pulse propagation in a non-ideal shallow-water waveguide. We derive an {\epsilon}-pseudodifferential operator ({\epsilon}-PDO) formulation from the general three-dimensional…

Mathematical Physics · Physics 2025-12-16 Aleksandr Kaplun , Boris Katsnelson

Conventionally, piecewise polynomials have been used in the boundary elements method (BEM) to approximate unknown boundary values. Since infinitely smooth radial basis functions (RBFs) are more stable and accurate than the polynomials for…

Numerical Analysis · Mathematics 2023-09-13 Hossein Hosseinzadeh , Zeinab Sedaghatjoo

In this article we propose and numerically implement a mathematical model for the simulation of three-dimensional semiconductor devices characterized by an heterogeneous material structure. The model consists of a system of nonlinearly…

Numerical Analysis · Mathematics 2013-07-12 A. Mauri , R. Sacco , M. Verri

In underwater acoustics, shallow water environments act as modal dispersive waveguides when considering low-frequency sources. In this context, propagating signals can be described as a sum of few modal components, each of them propagating…

Signal Processing · Electrical Eng. & Systems 2020-12-01 Clément Dorffer , Thomas Paviet-Salomon , Gilles Le Chenadec , Angélique Drémeau

This document contains working annotations on the Virtual Element Method (VEM) for the approximate solution of diffusion problems with variable coefficients. To read this document you are assumed to have familiarity with concepts from the…

Numerical Analysis · Mathematics 2016-12-30 Gianmarco Manzini

A primary challenge when deploying speaker recognition systems in real-world applications is performance degradation caused by environmental mismatch. We propose a diffusion-based method that takes speaker embeddings extracted from a…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-23 KiHyun Nam , Jungwoo Heo , Jee-weon Jung , Gangin Park , Chaeyoung Jung , Ha-Jin Yu , Joon Son Chung

A modelling of low-frequency sound propagation in slowly varying ducts with smoothly varying lining is proposed leading to an acoustic mild-slope equation analogue to the with mild-slope equation for water waves. This simple 1D Mild Slope…

Fluid Dynamics · Physics 2018-09-11 Maaz Farooqui , Yves Aurégan , Vincent Pagneux

Propagation of transient mechanical waves in porous media is numerically investigated in 1D. The framework is the linear Biot's model with frequency-independant coefficients. The coexistence of a propagating fast wave and a diffusive slow…

Geophysics · Physics 2010-05-06 Guillaume Chiavassa , Bruno Lombard , Joël Piraux

Wave propagation and scattering problems in acoustics are often solved with boundary element methods. They lead to a discretization matrix that is typically dense and large: its size and condition number grow with increasing frequency. Yet,…

Numerical Analysis · Mathematics 2018-01-16 Daan Huybrechs , Peter Opsomer

This paper deals with the numerical modeling of wave propagation in porous media described by Biot's theory. The viscous efforts between the fluid and the elastic skeleton are assumed to be a linear function of the relative velocity, which…

Fluid Dynamics · Physics 2015-05-20 Guillaume Chiavassa , Bruno Lombard

The problem of an electromagnetic wave scattered from a random medium layer with rough boundaries is formulated using integral equations which involve two kinds of Green functions. The first one describes the wave scattered by the random…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Soubret , G. Berginc

Discharge of hazardous substances into the marine environment poses a substantial risk to both public health and the ecosystem. In such incidents, it is imperative to accurately estimate the release strength of the source and reconstruct…

Signal Processing · Electrical Eng. & Systems 2024-10-29 Yang Liu , Christopher M. Harvey , Frederick E. Hamlyn , Cunjia Liu

We use the general framework of summation-by-parts operators to construct conservative, energy-stable, and well-balanced semidiscretizations of two different nonlinear systems of dispersive shallow water equations with varying bathymetry:…

Numerical Analysis · Mathematics 2025-11-12 Joshua Lampert , Hendrik Ranocha

We present a Fourier finite element modeling of light emission of dipolar emitters coupled to infinitely long waveguides. Due to the translational symmetry, the three-dimensional (3D) coupled waveguide-emitter system can be decomposed into…

Optics · Physics 2015-12-01 Yangxin Ou , David Pardo , Yuntian Chen

In this paper, a quasi-deterministic (Q-D) model for non-stationary underwater acoustic (UWA) channels is proposed. This model combines the BELLHOP deterministic model and geometry-based stochastic model (GBSM), which provides higher…

Systems and Control · Electrical Eng. & Systems 2025-01-09 Yuxuan Yang , Yilin Ma , Hengtai Chang , Cheng-Xiang Wang

We present a novel analysis of the boundary integral operators associated to the wave equation. The analysis is done entirely in the time-domain by employing tools from abstract evolution equations in Hilbert spaces and semi-group theory.…

Numerical Analysis · Mathematics 2018-04-23 Matthew Hassell , Tianyu Qiu , Tonatiuh Sanchez-Vizuet , Francisco-Javier Sayas

Engineering structures are increasingly designed using numerical optimisation. However, traditional optimisation methods can be challenging with multiple objectives and many parameters. In machine learning, stable training of artificial…

Computational Engineering, Finance, and Science · Computer Science 2026-04-24 James Hipperson , Jonathan Hargreaves , Trevor Cox