Numerical homogenization beyond scale separation

R Altmann, P Henning, D Peterseim - Acta Numerica, 2021 - cambridge.org
Numerical homogenization is a methodology for the computational solution of multiscale
partial differential equations. It aims at reducing complex large-scale problems to simplified …

Trefftz-based methods for time-harmonic acoustics

B Pluymers, B Van Hal, D Vandepitte… - Archives of Computational …, 2007 - Springer
Over the last decade, Computer Aided Engineering (CAE) tools have become essential in
the assessment and optimization of the acoustic characteristics of products and processes …

[图书][B] Finite element analysis of acoustic scattering

F Ihlenburg - 1998 - Springer
This chapter is devoted to the finite element analysis of Helmholtz problems on bounded
domains. Speaking of “Finite Element Analysis,” we elaborate on the computational analysis …

An explicit time integration scheme for the analysis of wave propagations

G Noh, KJ Bathe - Computers & structures, 2013 - Elsevier
A new explicit time integration scheme is presented for the solution of wave propagation
problems. The method is designed to have small solution errors in the frequency range that …

Finite element solution of the Helmholtz equation with high wave number part II: the hp version of the FEM

F Ihlenburg, I Babuska - SIAM Journal on Numerical Analysis, 1997 - SIAM
In this paper, which is part II in a series of two, the investigation of the Galerkin finite element
solution to the Helmholtz equation is continued. While part I contained results on the h …

[HTML][HTML] Why municipalities reject wind power: A study on municipal acceptance and rejection of wind power instalments in Sweden

D Lindvall - Energy Policy, 2023 - Elsevier
This article explores municipal acceptance of wind power in Sweden and draws conclusions
on the basis of semi-structured interviews with municipal decision-makers, together with …

A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution

I Babuška, F Ihlenburg, ET Paik, SA Sauter - Computer methods in applied …, 1995 - Elsevier
When using the Galerkin FEM for solving the Helmholtz equation in two dimensions, the
error of the corresponding solution differs substantially from the error of the best …

A class of iterative solvers for the Helmholtz equation: Factorizations, sweeping preconditioners, source transfer, single layer potentials, polarized traces, and …

MJ Gander, H Zhang - Siam Review, 2019 - SIAM
Solving time-harmonic wave propagation problems by iterative methods is a difficult task,
and over the last two decades an important research effort has gone into developing …

Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions

A Deraemaeker, I Babuška… - International journal for …, 1999 - Wiley Online Library
For high wave numbers, the Helmholtz equation suffers the so‐called 'pollution effect'. This
effect is directly related to the dispersion. A method to measure the dispersion on any …

Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering

SN Chandler-Wilde, IG Graham, S Langdon… - Acta …, 2012 - cambridge.org
In this article we describe recent progress on the design, analysis and implementation of
hybrid numerical-asymptotic boundary integral methods for boundary value problems for the …