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We are concerned with the acoustic scattering problem, at a frequency $\kappa$, by many small obstacles of arbitrary shapes with impedance boundary condition. These scatterers are assumed to be included in a bounded domain $\Omega$ in…

偏微分方程分析 · 数学 2016-10-20 Durga Prasad Challa , Mourad Sini

This paper proposes an isogeometric boundary element method (IGBEM) to solve the electromagnetic scattering problems for three-dimensional doubly-periodic multi-layered structures. The main concerns are the constructions of (i) an open…

数值分析 · 数学 2021-10-28 Toru Takahashi , Tetsuro Hirai , Hiroshi Isakari , Toshiro Matsumoto

This paper considers the inverse problem of scattering of time-harmonic acoustic and electromagnetic plane waves by a bounded, inhomogeneous, penetrable obstacle with embedded objects inside. A new method is proposed to prove that the…

偏微分方程分析 · 数学 2017-06-14 Jiaqing Yang , Bo Zhang , Haiwen Zhang

It is well known that acoustic fields can produce forces on single particles, however they can also induce inter-particle forces due to multiple scattering events. This multi-particle force -- here referred to as acoustic binding -- is…

经典物理 · 物理学 2022-03-10 Nicholas St. Clair , Dominique Davenport , Arnold D. Kim , Dustin Kleckner

A simple model coupling a one-dimensional beam particle to a one-dimensional harmonic oscillator is used to explore complementarity and entanglement. This model, well-known in the inelastic scattering literature, is presented under three…

量子物理 · 物理学 2023-09-26 David Kordahl

In this paper we formulate a transmission problem for the transient acoustic wave equation as a system of retarded boundary integral equations. We then analyse a fully discrete method using a general Galerkin semidiscretization-in-space and…

数值分析 · 数学 2014-08-13 Tianyu Qiu , Francisco-Javier Sayas

We consider time-harmonic acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens. In contrast to previous studies, in which the domain occupied by the screen is assumed to be Lipschitz or smoother, we consider…

偏微分方程分析 · 数学 2015-03-20 Simon N. Chandler-Wilde , David P. Hewett

The aim of this paper is to study the feasibility of time-reversal methods in a non homogeneous elastic medium, from data recorded in an acoustic medium. We aim to determine, from partial aperture boundary measurements, the presence and…

数值分析 · 数学 2020-10-28 Franck Assous , Moshe Lin

A Fourier transform method is introduced for a class of hybrid time-frequency methods that solve the acoustic scattering problem in regimes where the solution exhibits both highly oscillatory behavior and slow decay in time. This extends…

数值分析 · 数学 2026-02-18 Heather Wilber , Wietse Vaes , Abinand Gopal , Gunnar Martinsson

This work introduces sequential neural beamforming, which alternates between neural network based spectral separation and beamforming based spatial separation. Our neural networks for separation use an advanced convolutional architecture…

This paper presents a numerical compression strategy for the boundary integral equation of acoustic scattering in two dimensions. These equations have oscillatory kernels that we represent in a basis of wave atoms, and compress by…

数值分析 · 数学 2008-05-28 Laurent Demanet , Lexing Ying

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The case of transmission (interface) boundary…

数学物理 · 物理学 2012-09-03 A. G. Ramm

The Boundary Element Method (BEM) is a powerful numerical approach for solving 3D elastostatic problems, particularly useful for crack propagation in fracture mechanics and half-space problems. A key challenge in BEM lies in handling…

数值分析 · 数学 2025-10-30 Vibudha Lakshmi Keshava , Martin Schanz

In experimental physics, it is essential to understand electromagnetic (EM) wave scattering across EM spectrum, from radio waves to X-rays, and is pivotal in driving photonics innovations. Recent advancements have uncovered phenomena like…

光学 · 物理学 2024-02-23 Deepanshu Trivedi , Arjuna Madanayake , Alex Krasnok

Electromagnetic (EM) wave scattering in electrically large, irregularly shaped, environments is a common phenomenon. The deterministic, or first principles, study of this process is usually computationally expensive and the results exhibit…

适应与自组织系统 · 物理学 2023-06-21 Shukai Ma , Thomas M. Antonsen , Steven M. Anlage

In this paper, we propose a novel iterative multiscale framework for solving high-contrast contact problems of Signorini type. The method integrates the constrained energy minimizing generalized multiscale finite element method (CEM-GMsFEM)…

数值分析 · 数学 2025-10-28 Zishang Li , Changqing Ye , Eric T. Chung

We present a coupling of the Finite Element and the Boundary Element Method in an isogeometric framework to approximate either two-dimensional Laplace interface problems or boundary value problems consisting in two disjoint domains. We…

数值分析 · 数学 2020-07-24 Mehdi Elasmi , Christoph Erath , Stefan Kurz

We consider the resonance and scattering properties of a composite medium containing scatterers whose properties are modulated in time. When excited with an incident wave of a single frequency, the scattered field consists of a family of…

介观与纳米尺度物理 · 物理学 2024-08-06 Erik Orvehed Hiltunen , Bryn Davies

A numerical method for solving the equations modeling acoustic scattering is presented. The method is capable of handling several dozen scatterers, each of which is several wave-lengths long, on a personal work station. Even for geometries…

数值分析 · 数学 2014-06-03 Sijia Hao , Per-Gunnar Martinsson , Patrick Young

In 2D acoustic and elastodynamic problems the spatial variability of a constitutive parameter such as the mass density makes it difficult to employ boundary integral and domain integral techniques to solve the forward and inverse wave…

地球物理 · 物理学 2019-03-25 Armand Wirgin