An Adaptive LOOCV-Based Algorithm for Solving Elliptic PDEs via RBF Collocation

DOI10.1007/978-3-030-41032-2_8zbMath1465.65156OpenAlexW3006069370MaRDI QIDQ3297692

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_8

zbMATH Keywords

adaptive algorithmsmeshfree methodsPoisson problemsrefinement techniques

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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)

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Recent advances on radial basis function collocation methods
• On convergent numerical algorithms for unsymmetric collocation
• The local Kansa's method for solving Berger equation
• Adaptive meshless refinement schemes for RBF-PUM collocation
• Adaptive RBF-FD method for elliptic problems with point singularities in 2D
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• On unsymmetric collocation by radial basis functions
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
• A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs
• Scattered Data Approximation

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