The boundary element method in acoustics: A survey

S Kirkup - Applied Sciences, 2019 - mdpi.com
The boundary element method (BEM) in the context of acoustics or Helmholtz problems is
reviewed in this paper. The basis of the BEM is initially developed for Laplace's equation …

A review of finite-element methods for time-harmonic acoustics

LL Thompson - The Journal of the Acoustical Society of America, 2006 - pubs.aip.org
State-of-the-art finite-element methods for time-harmonic acoustics governed by the
Helmholtz equation are reviewed. Four major current challenges in the field are specifically …

NLEVP: A collection of nonlinear eigenvalue problems

T Betcke, NJ Higham, V Mehrmann… - ACM Transactions on …, 2013 - dl.acm.org
We present a collection of 52 nonlinear eigenvalue problems in the form of a MATLAB
toolbox. The collection contains problems from models of real-life applications as well as …

Developments in structural-acoustic optimization for passive noise control

S Marburg - Archives of computational methods in engineering, 2002 - Springer
Low noise constructions receive more and more attention in highly industrialized countries.
Consequently, decrease of noise radiation challenges a growing community of engineers …

Element-Free Galerkin solutions for Helmholtz problems: fomulation and numerical assessment of the pollution effect

P Bouillard, S Suleaub - Computer methods in applied mechanics and …, 1998 - Elsevier
The Element-Free Galerkin Method (EFGM), a particular case of the meshless methods, is
examined in its application to acoustic wave propagation addressed by the Helmholtz …

Recent advances in the DtN FE method

D Givoli - Archives of Computational Methods in Engineering, 1999 - Springer
Summary The Dirichlet-to-Neumann (DtN) Finite Element Method is a general technique for
the solution of problems in unbounded domains, which arise in many fields of application. Its …

A simple subgrid scale stabilized method for the advection–diffusion-reaction equation

G Hauke - Computer Methods in Applied Mechanics and …, 2002 - Elsevier
A subgrid scale method has been developed for the advection–diffusion-reaction equation
with a simple intrinsic time-scale parameter. The proposed formulation combines very good …

[图书][B] Advanced computational vibroacoustics: reduced-order models and uncertainty quantification

R Ohayon, C Soize - 2014 - books.google.com
Advanced Computational Vibroacoustics presents an advanced computational method for
the prediction of sound and structural vibrations, in low-and medium-frequency ranges …

The variational theory of complex rays for the calculation of medium‐frequency vibrations

P Ladevèze, L Arnaud, P Rouch… - Engineering …, 2001 - emerald.com
A new approach called the “variational theory of complex rays”(VTCR) is developed for
calculating the vibrations of weakly damped elastic structures in the medium‐frequency …

Avoiding discretization issues for nonlinear eigenvalue problems

MJ Colbrook, A Townsend - arXiv preprint arXiv:2305.01691, 2023 - arxiv.org
The first step when solving an infinite-dimensional eigenvalue problem is often to discretize
it. We show that one must be extremely careful when discretizing nonlinear eigenvalue …