Multi-level meshless methods based on direct multi-elliptic interpolation

DOI10.1016/j.cam.2008.08.005zbMath1167.65069OpenAlexW2048710422MaRDI QIDQ1008690

Csaba Gáspár

Publication date: 30 March 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.08.005

zbMATH Keywords

convergenceerror estimateLaplace equationradial basis functionmulti-level methodsmeshless methodsmulti-elliptic interpolation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Numerical solution to coupled Burgers' equations by Gaussian-based Hermite collocation scheme

Uses Software

• Matlab

Cites Work

• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• A matrix decomposition RBF algorithm: approximation of functions and their derivatives
• Meshfree explicit local radial basis function collocation method for diffusion problems
• Multi-level biharmonic and bi-Helmholtz interpolation with application to the boundary element method
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Boundary knot method for Poisson equations
• Novel meshless method for solving the potential problems with arbitrary domain
• A meshless polyharmonic-type boundary interpolation method for solving boundary integral equations
• Scattered Data Interpolation: Tests of Some Method
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