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相关论文: Isogeometric boundary element method for acoustic …

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Isogeometric analysis (IGA) has proven to be an improvement on the classical finite element method (FEM) in several fields, including structural mechanics and fluid dynamics. In this paper, the performance of IGA coupled with the infinite…

数值分析 · 数学 2022-04-21 Jon Vegard Venås , Trond Kvamsdal , Trond Jenserud

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

An isogeometric boundary element method (BEM) is presented to solve scattering problems in an isotropic homogeneous medium. We consider wave problems governed by the scalar wave equation as in acoustics and the Lam\'e-Navier equations for…

计算工程、金融与科学 · 计算机科学 2025-10-09 Thomas Kramer , Benjamin Marussig , Martin Schanz

Isogeometric approach applied to Boundary Element Methods is an emerging research area. In this context, the aim of the present contribution is that of investigating, from a numerical point of view, the Symmetric Galerkin Boundary Element…

数值分析 · 数学 2022-04-07 A. Aimi , M. Diligenti , M. L. Sampoli , A. Sestini

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

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

The paper outlines some recent developments of the boundary element method (BEM) that makes it more user friendly and suitable for a realistic simulation in geomechanics, especially for underground excavations and tunnelling. The…

数值分析 · 数学 2021-01-25 Gernot Beer , Christian Duenser , Vincenzo Mallardo

A model for computing acoustic scattering by a swimbladdered fish with coupling to surrounding fish tissue that is assumed to behave as a homogeneous fluid, is presented. Mathematically, this corresponds to considering the problem of two…

计算物理 · 物理学 2020-08-03 Juan D. Gonzalez , Edmundo F. Lavia , Silvia Blanc , Martin Maas , Adrián Madirolas

We describe a numerical method for the solution of acoustic exterior scattering problems based on the time-domain boundary integral representation of the solution. As the spatial discretization of the resulting time-domain boundary integral…

数值分析 · 数学 2022-03-03 Ebraheem Aldahham , Lehel Banjai

A highly efficient fast boundary element method (BEM) for solving large-scale engineering acoustic problems in a broad frequency range is developed and implemented. The acoustic problems are modeled by the Burton-Miller boundary integral…

数值分析 · 计算机科学 2015-11-16 Yanchuang Cao , Lihua Wen , Jinyou Xiao

Sound-soft fractal screens can scatter acoustic waves even when they have zero surface measure. To solve such scattering problems we make what appears to be the first application of the boundary element method (BEM) where each BEM basis…

This paper presents a shape optimisation system to design the shape of an acoustically-hard object in the three-dimensional open space. Boundary element method (BEM) is suitable to analyse such an exterior field. However, the conventional…

数值分析 · 数学 2021-05-11 Toru Takahashi , Daisuke Sato , Hiroshi Isakari , Toshiro Matsumoto

The concept of isogeometric analysis, whereby the parametric func- tions that are used to describe CAD geometry are also used to approx- imate the unknown fields in a numerical discretisation, has progressed rapidly in recent years. This…

数值分析 · 数学 2013-02-22 R. N. Simpson , S. P. A. Bordas , H. Lian , J. Trevelyan

The boundary element method (BEM) is an efficient numerical method for simulating harmonic wave propagation. It uses boundary integral formulations of the Helmholtz equation at the interfaces of piecewise homogeneous domains. The…

The paper presents the Isogeometric Boundary Element Method (IGABEM) algorithm for solving the plane strain problem of an isotropic linearly elastic matrix containing an open material surface of arbitrary shape. Theoretical developments are…

数值分析 · 数学 2025-11-06 Rohit Satish Patil , Zhilin Han , Sofia G. Mogilevskaya

Two recently introduced quadrature schemes for weakly singular integrals [Calabr\`o et al. J. Comput. Appl. Math. 2018] are investigated in the context of boundary integral equations arising in the isogeometric formulation of Galerkin…

数值分析 · 数学 2019-09-26 Antonella Falini , Tadej Kanduc

We outline the construction of compatible B-splines on 3D surfaces that satisfy the continuity requirements for electromagnetic scattering analysis with the boundary element method (method of moments). Our approach makes use of Non-Uniform…

数值分析 · 数学 2018-04-04 Robert N. Simpson , Zhaowei Liu , Ráfael Vazquez , John A. Evans

We present a new approach to three-dimensional electromagnetic scattering problems via fast isogeometric boundary element methods. Starting with an investigation of the theoretical setting around the electric field integral equation within…

数值分析 · 数学 2019-06-28 Jürgen Dölz , Stefan Kurz , Sebastian Schöps , Felix Wolf

In this paper the numerical solution of potential problems defined on 3D unbounded domains is addressed with Boundary Element Methods (BEMs), since in this way the problem is studied only on the boundary, and thus any finite approximation…

This work is concerned with a unique combination of high order local absorbing boundary conditions (ABC) with a general curvilinear Finite Element Method (FEM) and its implementation in Isogeometric Analysis (IGA) for time-harmonic acoustic…

数值分析 · 数学 2019-03-27 Tahsin Khajah , Vianey Villamizar
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