Computing eigenmodes of elliptic operators using increasingly flat radial basis functions

DOI10.1016/j.enganabound.2016.01.014zbMath1403.65126OpenAlexW2287716034MaRDI QIDQ1655007

Chieh-Sen Huang, Chen-Hui Hung, Songgui Wang

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.2016.01.014

zbMATH Keywords

Laplace operatorerror estimatemultiquadric collocation methodeigenmodesinterpolating polynomial

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical interpolation (65D05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

A meshless Chebyshev collocation method for eigenvalue problems of the Helmholtz equation

Uses Software

• Matlab
• GaussQR

Cites Work

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• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Interpolation in the limit of increasingly flat radial basis functions
• Computing eigenmodes of elliptic operators using radial basis functions
• Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
• ON THE CONVERGENCE OF THE MFS–MPS SCHEME FOR 1D POISSON'S EQUATION
• A Primer on Radial Basis Functions with Applications to the Geosciences
• Radial Basis Functions
• Solving PDEs with radial basis functions
• Scattered Data Approximation