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

DOI10.1016/J.ENGANABOUND.2017.02.014zbMath1403.65212OpenAlexW2606517325MaRDI QIDQ1655348

L. O. C. Lara, P. V. M. Pereira, Webe Joao Mansur, Carlos Friedrich Loeffler

Publication date: 9 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.02.014

zbMATH Keywords

boundary element methodradial basis functionsHelmholtz equationfrequency dependent fundamental solution

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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 ⋮ A self-regularized scheme for solving Helmholtz problems using the boundary element direct integration technique with radial basis functions ⋮ The direct interpolation boundary element technique applied to three-dimensional scalar free vibration problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Explicit empirical formula evaluating original intensity factors of singular boundary method for potential and Helmholtz problems
• Numerical investigation on convergence rate of singular boundary method
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Singular Boundary Method: Three RegularizationApproaches and ExteriorWave Applications
• Radial Basis Functions
• A comparative study of the direct boundary element method and the dual reciprocity boundary element method in solving the Helmholtz equation

This page was built for publication: 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