Adaptive Refinement Techniques for RBF-PU Collocation

DOI10.1007/978-3-030-41032-2_9zbMath1465.65157OpenAlexW3006151711MaRDI QIDQ3297693

Alessandra De Rossi, Roberto Cavoretto

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-41032-2_9

zbMATH Keywords

adaptive algorithmsmeshless methodselliptic PDEsrefinement strategiesRBF methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical radial basis function approximation (65D12)

Related Items (3)

A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics ⋮ An efficient localized meshless collocation method for the two-dimensional Burgers-type equation arising in fluid turbulent flows ⋮ Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow

Uses Software

• GaussQR

Cites Work

• A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
• Adaptive meshless refinement schemes for RBF-PUM collocation
• Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
• Preconditioning for radial basis function partition of unity methods
• Kernel-based Approximation Methods using MATLAB

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