An efficient wave based method for solving Helmholtz problems in three-dimensional bounded domains
type: Item
instance of: scholarly article
title: An efficient wave based method for solving Helmholtz problems in three-dimensional bounded domains
zbMATH Open document ID: 1259.76057
author: Bert Van Genechten
author: Onur Atak
author: Bart Bergen
author: Elke Deckers
author: Stijn Jonckheere
author: Joong Seok Lee
author: Antonio Maressa
author: Karel Vergote
author: Bert Pluymers
author: Dirk Vandepitte
author: Wim Desmet
published in: Engineering Analysis with Boundary Elements
publication date: 2013-03-25T00:00:00Z
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 6148826
zbMATH Keywords: Trefftz method
zbMATH Keywords: wave based method
zbMATH Keywords: Helmholtz problems
zbMATH Keywords: 3D bounded problems
Wikidata QID: Q108933512
MaRDI profile type: Publication
full work available at URL: j.enganabound.2011.07.011
OpenAlex ID: W1997575108
cites work: Q5706234
cites work: Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications
cites work: Boundary elements in acoustics. Advances and applications
cites work: SIX BOUNDARY ELEMENTS PER WAVELENGTH: IS THAT ENOUGH?
cites work: A survey of finite element methods for time-harmonic acoustics
cites work: A multipole Galerkin boundary element method for acoustics
cites work: Wave boundary elements: a theoretical overview presenting applications in scattering of short waves
cites work: Plane wave basis in Galerkin BEM for bidimensional wave scattering
cites work: Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case
cites work: A high–wavenumber boundary–element method for an acoustic scattering problem
cites work: High-Order Finite Element Methods for Acoustic Problems
cites work: Fully automatic \(hp\)-adaptivity in three dimensions
cites work: Modified integration rules for reducing dispersion error in finite element methods.
cites work: Numerical performance of preconditioning techniques for the solution of complex sparse linear systems
cites work: Parallel iterative methods for sparse linear systems
cites work: Q3334852
cites work: Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems
cites work: Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
cites work: Numerical investigations of stabilized finite element computations for acoustics
cites work: Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
cites work: The design and analysis of the generalized finite element method
cites work: The generalized finite element method
cites work: Meshless methods: An overview and recent developments
cites work: Element-free Galerkin solutions for Helmholtz problems: Formulation and numerical assessment of the pollution effect
cites work: Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
cites work: The discontinuous enrichment method
cites work: A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
cites work: Numerical experiments of preconditioned Krylov subspace methods solving the dense non-symmetric systems arising from BEM
cites work: A symmetric Galerkin BEM variational framework for multi-domain interface problems
cites work: A domain decomposition tool for boundary element methods
cites work: Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
cites work: Q3113042
cites work: Trefftz-based methods for time-harmonic acoustics
cites work: Calculation of medium-frequency vibrations over a wide frequency range
cites work: THE MULTISCALE VTCR APPROACH APPLIED TO ACOUSTICS PROBLEMS
cites work: Defining an accurate MFS solution for 2.5D acoustic and elastic wave propagation
cites work: On the choice of source points in the method of fundamental solutions
cites work: Application of an efficient wave-based prediction technique for the analysis of vibro-acoustic radiation problems
cites work: Q3426540
cites work: An efficient wave based prediction technique for plate bending vibrations
cites work: An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities
cites work: A Trefftz based method for solving Helmholtz problems in semi-infinite domains
cites work: Spline-based boundaries: a first step towards generic geometric domain descriptions for efficient mid-frequency acoustic analysis using the wave based method
cites work: A direct hybrid finite element - wave based modelling technique for efficient coupled vibro-acoustic analysis
cites work: A multi-level wave based numerical modelling framework for the steady-state dynamic analysis of bounded Helmholtz problems with multiple inclusions
cites work: A Trefftz-based numerical modelling framework for Helmholtz problems with complex multiple-scatterer configurations
cites work: A computationally efficient prediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems.
cites work: An Efficient Trefftz-Based Method for Three-Dimensional Helmholtz Problems in Unbounded Domains
cites work: A Coupled Finite Element–Wave Based Approach for the Steady-State Dynamic Analysis of Acoustic Systems
cites work: Comparison of two wave element methods for the Helmholtz problem
cites work: Trefftz method: Fitting boundary conditions
cites work: Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM

An efficient wave based method for solving Helmholtz problems in three-dimensional bounded domains (cites work)
cites work: Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM

An efficient wave based method for solving Helmholtz problems in three-dimensional bounded domains (DOI)
DOI: 10.1016/J.ENGANABOUND.2011.07.011