A self-regularized scheme for solving Helmholtz problems using the boundary element direct integration technique with radial basis functions

DOI10.1016/j.enganabound.2020.05.011zbMath1464.65240OpenAlexW3033847957MaRDI QIDQ785143

Ramon Galimberti, Hercules de Melo Barcelos, Carlos Friedrich Loeffler

Publication date: 5 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2020.05.011

zbMATH Keywords

boundary element methodradial basis functionsdirect integration methodHelmholtz problems

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38) Numerical radial basis function approximation (65D12)

Related Items (2)

The direct interpolation boundary element method and the domain superposition technique applied to piecewise Helmholtz's problems with internal heterogeneity ⋮ A local collocation method with radial basis functions for an electrospinning problem

Cites Work

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• Bounds to eigenvalues of the Laplacian on L-shaped domain by variational methods
• The radial integration method for evaluation of domain integrals with boundary-only discretization.
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• Solving Helmholtz problems with the boundary element method using direct radial basis function interpolation
• A regularization scheme applied to the direct interpolation boundary element technique with radial basis functions for solving eigenvalue problem
• 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
• Testing the accomplishment of the radial integration method with the direct interpolation boundary element technique for solving Helmholtz problems
• Dual reciprocity method using compactly supported radial basis functions
• Radial Basis Functions

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