Unconditional convergence of iterative approximation methods

DOI10.1016/j.enganabound.2021.03.001zbMath1464.65015OpenAlexW3137272863MaRDI QIDQ2662421

Chengzhi Liu, Li Zhang, Xu-li Han

Publication date: 13 April 2021

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.03.001

zbMATH Keywords

diagonally compensated reductionradial basis functionunconditional convergencepreconditioning technique

Mathematics Subject Classification ID

Preconditioners for iterative methods (65F08) Numerical radial basis function approximation (65D12)

Related Items (1)

Computing high-order derivatives in compact integrated-RBF stencils

Cites Work

• Unnamed Item
• Unnamed Item
• Quasi-interpolation for surface reconstruction from scattered data with radial basis function
• Numerical experiments on the condition number of the interpolation matrices for radial basis functions
• On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation
• Shape preserving surface reconstruction using locally anisotropic radial basis function interpolants
• Construction techniques for highly accurate quasi-interpolation operators
• Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
• Solution of Poisson's equation by iterative DRBEM using compactly supported, positive definite radial basis function
• Generalized Strang-Fix condition for scattered data quasi-interpolation
• Preconditioning techniques for large linear systems: A survey
• Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
• On quasi-interpolation by radial basis functions with scattered centres
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Matrix compensation and diagonal compensation
• Bases for conditionally positive definite kernels
• Sampling scattered data with Bernstein polynomials: stochastic and deterministic error estimates
• Domain decomposition methods in scattered data interpolation with conditionally positive definite radial basis functions
• On a generalized Gaussian radial basis function: analysis and applications
• A new stable basis for radial basis function interpolation
• Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
• Stable Evaluation of Gaussian Radial Basis Function Interpolants
• Computational Aspects of Radial Basis Function Approximation
• Optimality and Regularization Properties of Quasi-Interpolation: Deterministic and Stochastic Approaches
• Multivariate Monte Carlo Approximation Based on Scattered Data
• Iterated Approximate Moving Least Squares Approximation
• Numerical experiments on optimal shape parameters for radial basis functions
• Preconditioning of Radial Basis Function Interpolation Systems via Accelerated Iterated Approximate Moving Least Squares Approximation
• Convergence of Univariate Quasi-Interpolation Using Multiquadrics
• A Rescaled Method for RBF Approximation
• Diagonally compensated reduction and related preconditioning methods

This page was built for publication: Unconditional convergence of iterative approximation methods