Solving an eigenvalue problem with a periodic domain using radial basis functions

DOI10.1016/j.enganabound.2008.04.009zbMath1244.65167OpenAlexW1998806733MaRDI QIDQ443405

J. Herrera, H. S. Yoon

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.04.009

zbMATH Keywords

collocation methodeigenvaluesperiodic boundary conditionscompactly supported radial basis functions

Mathematics Subject Classification ID

Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (11)

A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals ⋮ Band structure computation of in-plane elastic waves in 2D phononic crystals by a meshfree local RBF collocation method ⋮ A meshfree approach for homogenization of mechanical properties of heterogeneous materials ⋮ Solving an eigenvalue problem on a periodic domain using a radial basis function finite difference scheme ⋮ Hybrid shape parameter strategy for the RBF approximation of vibrating systems ⋮ Compact RBF meshless methods for photonic crystal modelling ⋮ Nonlinear elastic-plastic analysis of reinforced concrete column-steel beam connection by RBF-FD method ⋮ A meshfree method based on radial basis functions for the eigenvalues of transient Stokes equations ⋮ Compactly supported radial basis functions for the acoustic 3D eigenanalysis using the particular integral method ⋮ A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry ⋮ Educating local radial basis functions using the highest gradient of interest in three dimensional geometries

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