Trefftz-based methods for time-harmonic acoustics
type: Item
instance of: scholarly article
title: Trefftz-based methods for time-harmonic acoustics
zbMATH Open document ID: 1170.76332
author: B. Van Hal
author: Dirk Vandepitte
author: Bert Pluymers
author: Wim Desmet
published in: Archives of Computational Methods in Engineering
publication date: 2009-09-18T00:00:00Z
full work available at URL: https://lirias.kuleuven.be/handle/123456789/163206
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76M15
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 76-02
zbMATH DE Number: 5604870
Wikidata QID: Q108937327
MaRDI profile type: Publication
OpenAlex ID: W2108049425
cites work: Finite element analysis of acoustic scattering
cites work: Fortran codes for computing the discrete Helmholtz integral operators
cites work: Boundary elements in acoustics. Advances and applications
cites work: Q4493635
cites work: A survey of finite element methods for time-harmonic acoustics
cites work: Trefftz method: An overview
cites work: A computationally efficient prediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems.
cites work: Q4652684
cites work: Application of an efficient wave-based prediction technique for the analysis of vibro-acoustic radiation problems
cites work: Q3426540
cites work: Inverse acoustic and electromagnetic scattering theory.
cites work: Q4339012
cites work: A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems
cites work: High-order local non-reflecting boundary conditions: a review
cites work: Exact non-reflecting boundary conditions
cites work: Dirichlet-to-Neumann maps for unbounded wave guides
cites work: Exact non-reflecting boundary conditions on general domains.
cites work: A REVIEW OF INFINITE ELEMENT METHODS FOR EXTERIOR HELMHOLTZ PROBLEMS
cites work: Prolate and oblate spheroidal acoustic infinite elements
cites work: An ellipsoidal acoustic infinite element
cites work: Mapped Wave Envelope Elements for Acoustical Radiation and Scattering
cites work: The performance of spheroidal infinite elements
cites work: A perfectly matched layer for the absorption of electromagnetic waves
cites work: The Perfectly Matched Layer in Curvilinear Coordinates
cites work: Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications
cites work: Adaptive Multigrid for Helmholtz Problems
cites work: High-Order Finite Element Methods for Acoustic Problems
cites work: \(p\)-version FEM for structural acoustics with a posteriori error estimation
cites work: A posteriori error estimation in finite element analysis
cites work: The background of error estimation and adaptivity in finite element computations
cites work: A posteriori error estimation for acoustic wave propagation problems
cites work: Modified integration rules for reducing dispersion error in finite element methods.
cites work: Q4414854
cites work: Q4217211
cites work: A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
cites work: A method of finite element tearing and interconnecting and its parallel solution algorithm
cites work: Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems
cites work: An iterative substructuring method for coupled fluid-solid acoustic problems
cites work: Numerical investigations of stabilized finite element computations for acoustics
cites work: Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
cites work: A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
cites work: The Galerkin gradient least-squares method
cites work: Reducing spurious dispersion, anisotropy and reflection in finite element analysis of time-harmonic acoustics
cites work: A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
cites work: Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
cites work: THE PARTITION OF UNITY METHOD
cites work: The partition of unity finite element method: basic theory and applications
cites work: Q4511112
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: Dispersion and pollution of meshless solutions for the Helmholtz equation
cites work: An iterative defect‐correction type meshless method for acoustics
cites work: Surfaces Generated by Moving Least Squares Methods
cites work: Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
cites work: The variational multiscale method -- a paradigm for computational mechanics
cites work: Residual-free bubbles for the Helmholtz equation
cites work: \(b=\int g\)
cites work: Subgrid modeling in a Galerkin method for the Helmholtz equation
cites work: A multiscale finite element method for the Helmholtz equation

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cites work: The discontinuous enrichment method

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cites work: The discontinuous enrichment method for multiscale analysis.

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cites work: SIX BOUNDARY ELEMENTS PER WAVELENGTH: IS THAT ENOUGH?

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cites work: A cost comparison of boundary element and finite element methods for problems of time-harmonic acoustics

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cites work: Wave boundary elements: a theoretical overview presenting applications in scattering of short waves

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cites work: Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering

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cites work: A high–wavenumber boundary–element method for an acoustic scattering problem

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cites work: A collocation method for high-frequency scattering by convex polygons

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cites work: On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation

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cites work: The Construction of cubature rules for multivariate highly oscillatory integrals

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cites work: A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems

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cites work: A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel

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cites work: A multipole Galerkin boundary element method for acoustics

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cites work: AN EFFECTIVE SETTING OF HIERARCHICAL CELL STRUCTURE FOR THE FAST MULTIPOLE BOUNDARY ELEMENT METHOD

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cites work: A TECHNIQUE FOR PLANE-SYMMETRIC SOUND FIELD ANALYSIS IN THE FAST MULTIPOLE BOUNDARY ELEMENT METHOD

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cites work: Fast BEM-FEM mortar coupling for acoustic-structure interaction

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cites work: Solution of Helmholtz equation by Trefftz method

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cites work: Q3342968

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cites work: Global and local Trefftz boundary integral formulations for sound vibration.

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cites work: Generalized finite element analysis with T-complete boundary solution functions

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cites work: Trefftz method: Fitting boundary conditions

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cites work: The Trefftz finite and boundary element method

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cites work: Q4873609

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cites work: Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem

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cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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cites work: A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime

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cites work: Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems

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cites work: Least‐squares T‐elments: Equivalent FE and BE forms of a substructure‐oriented boundary solution approach

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cites work: Q4398194

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cites work: A least-squares method for the Helmholtz equation

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cites work: Q3426618

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cites work: A domain decomposition method for the Helmholtz equation and related optimal control problems

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cites work: The method of fundamental solutions for Helmholtz eigenvalue problems in simply and multiply connected domains

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cites work: A hybrid method for vibroacoustic coupling

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cites work: Symmetric boundary knot method

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cites work: Numerical comparison of two meshfree methods for acoustic wave scattering

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cites work: Q3935582

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cites work: The method of fundamental solutions for elliptic boundary value problems

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cites work: Comparison of two wave element methods for the Helmholtz problem

Trefftz-based methods for time-harmonic acoustics (DOI)
DOI: 10.1007/S11831-007-9010-X