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相关论文: Analysis of transient acoustic scattering by an el…

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A symmetric boundary integral formulation for the transient scattering of acoustic waves off homogeneous and isotropic elastic obstacles is analyzed. Both the acoustic scattered field and the elastodynamic excited field are represented…

数值分析 · 数学 2025-08-19 Tonatiuh Sánchez-Vizuet

Acoustic emission or scattering problems naturally involve uncertainties about the sound sources or boundary conditions. This article initiates the study of time domain boundary elements for such stochastic boundary problems for the…

数值分析 · 数学 2024-07-23 Heiko Gimperlein , Fabian Meyer , Ceyhun Özdemir

In this paper, we consider numerical solutions of a time domain acoustic-elastic wave interaction problem which occurs between a bounded penetrable elastic body and a compressible inviscid fluid. It is also called the fluid-solid…

数值分析 · 数学 2019-03-20 Yingda Cheng , Jing Huang , Xiaozhou Li , Liwei Xu

In this paper we present a numerical discretization of the coupled elasto-acoustic wave propagation problem based on a Discontinuous Galerkin Spectral Element (DGSE) approach in a three-dimensional setting. The unknowns of the coupled…

数值分析 · 数学 2019-07-12 Paola F. Antonietti , Francesco Bonaldi , Ilario Mazzieri

Consider the wave propagation in a two-layered medium consisting of a homogeneous compressible air or fluid on top of a homogeneous isotropic elastic solid. The interface between the two layers is assumed to be an unbounded rough surface.…

偏微分方程分析 · 数学 2016-08-22 Yixian Gao , Peijun Li , Bo Zhang

A rarely exploited advantage of time-domain boundary integral equations compared to their frequency counterparts is that they can be used to treat certain nonlinear problems. In this work we investigate the scattering of acoustic waves by a…

数值分析 · 数学 2017-09-29 Lehel Banjai , Alexander Rieder

We give a principled approach for the selection of a boundary integral, retarded potential representation for the solution of scattering problems for the wave equation in an exterior domain.

数值分析 · 数学 2015-04-17 Charles L. Epstein , Leslie Greengard , Thomas Hagstrom

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

Consider an exterior problem of the three-dimensional elastic wave equation, which models the scattering of a time-harmonic plane wave by a rigid obstacle. The scattering problem is reformulated into a boundary value problem by introducing…

偏微分方程分析 · 数学 2017-09-07 Peijun Li , Xiaokai Yuan

We address the spatial discretization of an evolution problem arising from the coupling of viscoelastic and acoustic wave propagation phenomena by employing a discontinuous Galerkin scheme on polygonal and polyhedral meshes. The coupled…

数值分析 · 数学 2018-12-11 Paola F. Antonietti , Francesco Bonaldi , Ilario Mazzieri

We propose a boundary integral formulation for the dynamic problem of electromagnetic scattering and transmission by homogeneous dielectric obstacles. In the spirit of Costabel and Stephan, we use the transmission conditions to reduce the…

数值分析 · 数学 2025-05-20 Tonatiuh Sánchez-Vizuet

Acoustic scattering by vehicle surfaces can have significant effects on overall noise levels. In this paper, we present a space-time Galerkin time-domain boundary element method (TDBEM) that offers several distinct advantages over…

数值分析 · 数学 2026-03-06 Maks Groom , Beckett Zhou

In this paper, we consider the scattering of a plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in three dimensions. Based on the Helmholtz decomposition, the elastic scattering problem is reduced to a…

数值分析 · 数学 2022-09-14 Heping Dong , Jun Lai , Peijun Li

We consider acoustic scattering in heterogeneous media with piecewise constant wave number. The discretization is carried out using a Galerkin boundary element method in space and Runge-Kutta convolution quadrature in time. We prove…

数值分析 · 数学 2024-07-25 Alexander Rieder , Francisco-Javier Sayas , Jens Markus Melenk

We solve acoustic scattering problems by means of the isogeometric boundary integral equation method. In order to avoid spurious modes, we apply the combined field integral equations for either sound-hard scatterers or sound-soft…

数值分析 · 数学 2023-06-21 Jürgen Dölz , Helmut Harbrecht , Michael Multerer

In this paper, we consider the scattering of a time-dependent electromagnetic wave by an elastic body immersed in the lower half-space of a two-layered background medium which is separated by an unbounded rough surface. By proposing two…

偏微分方程分析 · 数学 2021-02-04 Changkun Wei , Jiaqing Yang , Bo Zhang

This paper concerns an inverse elastic scattering problem which is to determine a rigid obstacle from time domain scattered field data for a single incident plane wave. By using Helmholtz decomposition, we reduce the initial-boundary value…

数值分析 · 数学 2022-03-14 Lu Zhao , Heping Dong , Fuming Ma

We present a novel computational scheme to solve acoustic wave transmission problems over composite scatterers, i.e. penetrable obstacles possessing junctions or triple points. Our continuous problem is cast as a multiple traces time-domain…

数值分析 · 数学 2022-04-01 Carlos Jerez-Hanckes , Ignacio Labarca

We consider a model problem of the scattering of linear acoustic waves in free homogeneous space by an elastic solid. The stress tensor in the solid combines the effect of a linear dependence of strains with the influence of an existing…

数值分析 · 数学 2018-04-23 Thomas S. Brown , Tonatiuh Sánchez-Vizuet , Francisco-Javier Sayas

This paper is concerned with the analysis of the time domain acoustic scattering from two-dimensional open cavities. A transparent boundary condition is developed to reformulate the scattering problem into an equivalent initial boundary…

偏微分方程分析 · 数学 2018-09-18 Bo Chen , Fuming Ma , Yukun Guo
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