Domain decomposition methods in scattered data interpolation with conditionally positive definite radial basis functions

DOI10.1016/j.camwa.2018.10.042zbMath1442.65405OpenAlexW2901371606WikidataQ128944795 ScholiaQ128944795MaRDI QIDQ2203807

Michael Wende, Sabine Le Borne

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.10.042

zbMATH Keywords

domain decompositionpreconditioningradial basis functionhierarchical matricesscattered data interpolationsaddle-point systems

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)

Related Items (4)

Multilevel interpolation of scattered data using \(\mathcal{H}\)-matrices ⋮ Unconditional convergence of iterative approximation methods ⋮ \(\mathcal{H}\)-inverses for RBF interpolation ⋮ Iterative Solution of Saddle-Point Systems from Radial Basis Function (RBF) Interpolation

Uses Software

• PetRBF

Cites Work

• Unnamed Item
• Iterative solution of large sparse systems of equations
• PetRBF - A parallel \(O(N)\) algorithm for radial basis function interpolation with Gaussians
• Why restricted additive Schwarz converges faster than additive Schwarz
• \(\mathcal H\)-LU factorization on many-core systems
• Preconditioning for radial basis functions with domain decomposition methods
• Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
• The Antitriangular Factorization of Saddle Point Matrices
• Hierarchical Matrices: Algorithms and Analysis
• Numerical solution of saddle point problems
• Block preconditioners for linear systems arising from multiscale collocation with compactly supported RBFs
• Fast Radial Basis Function Interpolation via Preconditioned Krylov Iteration
• Scattered Data Interpolation: Tests of Some Method
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• Hierarchical Matrix Approximation for Kernel-Based Scattered Data Interpolation
• Scattered Data Approximation

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