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The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Perfectly Matched Layers (PML) or other artificial boundary…

Numerical simulation of wave propagation in an infinite medium is made possible by surrounding a finite region by a perfectly matched layer (PML). Using this approach a generalized three-dimensional (3D) formulation is proposed for…

Numerical Analysis · Mathematics 2016-12-21 Hisham Assi , Richard S. C. Cobbold

Efficient and accurate numerical simulation of seismic wave propagation is important in various Geophysical applications such as seismic full waveform inversion (FWI) problem. However, due to the large size of the physical domain and…

Numerical Analysis · Computer Science 2019-03-22 Keran Li , Wenyuan Liao , Yaoting Lin

It is well-known that reliable and efficient domain truncation is crucial to accurate numerical solution of most wave propagation problems. The perfectly matched layer (PML) is a method which, when stable, can provide a domain truncation…

Numerical Analysis · Mathematics 2022-01-19 Kenneth Duru , Gunilla Kreiss

Acoustic signal processing in the spherical harmonics domain (SHD) is an active research area that exploits the signals acquired by higher order microphone arrays. A very important task is that concerning the localization of active sound…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-29 Maximo Cobos , Mirco Pezzoli , Fabio Antonacci , Augusto Sarti

In this contribution, a finite element scheme to impose mixed boundary conditions without introducing Lagrange multipliers is presented for hyperbolic systems described as port-Hamiltonian systems. The strategy relies on finite element…

Numerical Analysis · Mathematics 2026-01-23 S. D. M. de Jong , A. Brugnoli , R. Rashad , Y. Zhang , S. Stramigioli

Recently, acoustic communication employing Orbital Angular Momentum (OAM) opens another avenue for efficient data transmission in aquatic environments. Current topological charge (TC) detection of OAM beams relies on the orthogonality among…

Applied Physics · Physics 2024-11-01 Liulin Li , Bingyi Liu , Zhongyi Guo

This study explores the use of fractional calculus as a possible tool to model wave propagation in complex, heterogeneous media. We illustrate the methodology by focusing on elastic wave propagation in a one-dimensional periodic rod. The…

Classical Physics · Physics 2018-12-05 John Hollkamp , Mihir Sen , Fabio Semperlotti

Accurate sound propagation simulation is essential for delivering immersive experiences in virtual applications, yet industry methods for acoustic modeling often do not account for the full breadth of acoustic wave phenomena. This paper…

Sound · Computer Science 2025-07-15 Bilkent Samsurya

Acoustic propagation models are widely used in numerous oceanic and other underwater applications. Most conventional models are approximate solutions of the acoustic wave equation, and require accurate environmental knowledge to be…

Sound · Computer Science 2023-08-25 Kexin Li , Mandar Chitre

We propose a compressive spectral collocation method for the numerical approximation of Partial Differential Equations (PDEs). The approach is based on a spectral Sturm-Liouville approximation of the solution and on the collocation of the…

Numerical Analysis · Mathematics 2018-10-18 Simone Brugiapaglia

This paper describes a model for nonlinear acoustic wave propagation through absorbing and weakly dispersive media, and its numerical solution by means of finite differences in time domain method (FDTD). The attenuation is based on multiple…

Time-domain wave scattering in an unbounded two-dimensional acoustic medium by sound-hard scatterers is considered. Two canonical geometries, namely a split-ring resonator (SRR) and an array of cylinders, are used to highlight the theory,…

Mathematical Physics · Physics 2025-03-28 Ben Wilks , Michael H. Meylan , Fabien Montiel , Sarah Wakes

SSP distribution is an important parameter for underwater positioning, navigation and timing (PNT) because it affects the propagation mode of underwater acoustic signals. To accurate predict future sound speed distribution, we propose a…

Sound · Computer Science 2025-03-31 Jiajun Lu , Wei Huang , Hao Zhang

Recently, the application of diffusion probabilistic models has advanced speech enhancement through generative approaches. However, existing diffusion-based methods have focused on the generation process in high-dimensional waveform or…

Sound · Computer Science 2025-01-20 Shengkui Zhao , Zexu Pan , Kun Zhou , Yukun Ma , Chong Zhang , Bin Ma

In this paper, we propose and test a novel diagonal sweeping domain decomposition method (DDM) with source transfer for solving the high-frequency Helmholtz equation in $\mathbb{R}^n$. In the method the computational domain is partitioned…

Numerical Analysis · Mathematics 2020-09-02 Wei Leng , Lili Ju

Explicit time stepping schemes are popular for linear acoustic and elastic wave propagation due to their simple nature which does not require sophisticated solvers for the inversion of the stiffness matrices. However, explicit schemes are…

Numerical Analysis · Mathematics 2018-10-16 Roland Maier , Daniel Peterseim

Nonlocal models allow for the description of phenomena which cannot be captured by classical partial differential equations. The availability of efficient solvers is one of the main concerns for the use of nonlocal models in real world…

Numerical Analysis · Mathematics 2023-06-02 Manuel Klar , Giacomo Capodaglio , Marta D'Elia , Christian Glusa , Max Gunzburger , Christian Vollmann

We analyse and implement a quasi-Monte Carlo (QMC) finite element method (FEM) for the forward problem of uncertainty quantification (UQ) for the Helmholtz equation with random coefficients, both in the second-order and zero-order terms of…

Numerical Analysis · Mathematics 2025-11-04 Ivan G. Graham , Frances Y. Kuo , Dirk Nuyens , Ian H. Sloan , Euan A. Spence

We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal flows. A novel discretization approach is proposed, in…

Numerical Analysis · Mathematics 2018-04-18 Luca Bonaventura , Enrique D. Fernández-Nieto , José Garres-Díaz , Gladys Narbona-Reina
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