A hybrid boundary element-wave based method for an efficient solution of bounded acoustic problems with inclusions

DOI10.1016/j.cma.2014.08.019zbMath1423.74942OpenAlexW2045979255WikidataQ108933505 ScholiaQ108933505MaRDI QIDQ1667511

Daan Huybrechs, Stijn Jonckheere, Onur Atak, Elke Deckers, Bert Pluymers, Wim Desmet

Publication date: 30 August 2018

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/444154

zbMATH Keywords

boundary element methodinclusionsTrefftz methodHelmholtz problemwave based methodbounded acoustic problem

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Wave scattering in solid mechanics (74J20) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

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• Coupling of boundary element and wave based methods for the efficient solution of complex multiple scattering problems
• A wave based method for the efficient solution of the 2D poroelastic Biot equations
• An efficient implementation of boundary element methods for computationally expensive Green's functions
• Coupling impedance boundary conditions for absorptive structures with spectral finite elements in room acoustical simulations
• A direct hybrid finite element - wave based modelling technique for efficient coupled vibro-acoustic analysis
• A multi-level wave based numerical modelling framework for the steady-state dynamic analysis of bounded Helmholtz problems with multiple inclusions
• Acoustical topology optimization for Zwicker's loudness model - application to noise barriers
• Trefftz-based methods for time-harmonic acoustics
• Advances in iterative methods and preconditioners for the Helmholtz equation
• A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
• The method of fundamental solutions for scattering and radiation problems.
• Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems
• Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications
• A Trefftz based method for solving Helmholtz problems in semi-infinite domains
• An efficient wave based method for solving Helmholtz problems in three-dimensional bounded domains
• Fully automatic \(hp\)-adaptivity in three dimensions
• A direct hybrid finite element-wave based method for the steady-state analysis of acoustic cavities with poro-elastic damping layers using the coupled Helmholtz-Biot equations
• High-Order Finite Element Methods for Acoustic Problems
• SIX BOUNDARY ELEMENTS PER WAVELENGTH: IS THAT ENOUGH?
• Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• The discontinuous enrichment method

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