Convergence estimate of the RBF-based meshless method for initial-boundary value problem of wave equations
type: Item
instance of: scholarly article
title: Convergence estimate of the RBF-based meshless method for initial-boundary value problem of wave equations
zbMATH Open document ID: 1245.76086
published in: Engineering Analysis with Boundary Elements
publication date: 2012-08-24T00:00:00Z
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6071173
zbMATH Keywords: wave equations
zbMATH Keywords: radial basis function
zbMATH Keywords: meshless
zbMATH Keywords: unsymmetric collocation
MaRDI profile type: Publication
full work available at URL: j.enganabound.2011.09.007
OpenAlex ID: W2068359103
cites work: New concepts in meshless methods
cites work: Survey of meshless and generalized finite element methods: A unified approach
cites work: Fast solution of the radial basis function interpolation equations: Domain decomposition methods
cites work: Meshless methods: An overview and recent developments
cites work: On condition number of meshless collocation method using radial basis functions
cites work: A note on the meshless method using radial basis functions
cites work: Coupling projection domain decomposition method and Kansa's method in electrostatic problems
cites work: A novel domain decomposition method for highly oscillating partial differential equations
cites work: Solving differential equations with radial basis functions: Multilevel methods and smoothing
cites work: Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
cites work: A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
cites work: An efficient numerical scheme for Burger equation
cites work: A new formulation and computation of the triphasic model for mechano-electrochemical mixtures
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
cites work: Domain decomposition for radial basis meshless methods
cites work: Preconditioning for radial basis functions with domain decomposition methods
cites work: Improved numerical solver for Kansa's method based on affine space decomposition
cites work: Results on meshless collocation techniques
cites work: A least-squares preconditioner for radial basis functions collocation methods
cites work: Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods
cites work: Stable and Convergent Unsymmetric Meshless Collocation Methods
cites work: An improved subspace selection algorithm for meshless collocation methods
cites work: Scattered Data Approximation
cites work: Overlapping domain decomposition method by radial basis functions
DOI: 10.1016/J.ENGANABOUND.2011.09.007
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author: Y. Duan
author: Y. M. Zheng
author: P. P. Ceng
description: scientific article; zbMATH DE number 6071173