The direct interpolation boundary element technique applied to three-dimensional scalar free vibration problems

DOI10.1016/j.enganabound.2019.09.002zbMath1464.74237OpenAlexW2972607154WikidataQ127279722 ScholiaQ127279722MaRDI QIDQ2334250

João Paulo Barbosa, L. O. C. Lara, Carlos Friedrich Loeffler

Publication date: 7 November 2019

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2019.09.002

zbMATH Keywords

boundary element methodnatural frequenciesthree-dimensional Helmholtz problems

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Frequencies evaluation in three-dimensional piecewise homogeneous Helmholtz problems ⋮ The direct interpolation boundary element method and the domain superposition technique applied to piecewise Helmholtz's problems with internal heterogeneity ⋮ Boundary element method solution of stationary advective-diffusive problems: a comparison between the direct interpolation and dual reciprocity technique ⋮ A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dual reciprocity hybrid boundary node method for acoustic eigenvalue problems
• Trefftz-based methods for time-harmonic acoustics
• Radial basis function approximation in the dual reciprocity method
• Towards criteria for selecting approximation functions in the dual reciprocity method
• Direct use of radial basis interpolation functions for modelling source terms with the boundary element method
• Solving Helmholtz problems with the boundary element method using direct radial basis function interpolation
• Comparison between the formulation of the boundary element method that uses fundamental solution dependent of frequency and the direct radial basis boundary element formulation for solution of Helmholtz problems
• Shape optimization of sound barrier using an isogeometric fast multipole boundary element method in two dimensions
• Fast multipole accelerated boundary knot method for inhomogeneous Helmholtz problems
• Diffraction of sound around barriers: Use of the boundary elements technique
• Advances in acoustic eigenvalue analysis using boundary element method
• Radial Basis Functions
• A quasi optimal Petrov–Galerkin method for Helmholtz problem
• Some comments on the use of radial basis functions in the dual reciprocity method

This page was built for publication: The direct interpolation boundary element technique applied to three-dimensional scalar free vibration problems