Meshless Galerkin method using radial basis functions based on domain decomposition
type: Item
instance of: scholarly article
title: Meshless Galerkin method using radial basis functions based on domain decomposition
zbMATH Open document ID: 1104.65108
author: Y. Duan
published in: Applied Mathematics and Computation
publication date: 2006-10-31T00:00:00Z
review text: The author presents an overview of a combination of a radial basis function meshless method with domain decomposition using the Galerkin method. A theoretical foundation is established with theorems and lemmas and finally a numerical experiment is performed for validation.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5069152
zbMATH Keywords: radial basis function meshless method
zbMATH Keywords: Galerkin method
zbMATH Keywords: numerical experiment
reviewed by: Prabhat Kumar Mahanti
describes a project that uses: Mfree2D
MaRDI profile type: Publication
full work available at URL: j.amc.2005.11.153
OpenAlex ID: W2005394642
cites work: PROJECTION DOMAIN DECOMPOSITION METHOD
cites work: The Finite Element Method with Penalty
cites work: Survey of meshless and generalized finite element methods: A unified approach
cites work: Element‐free Galerkin methods
cites work: Meshless methods: An overview and recent developments
cites work: Q4550961
cites work: Radial Basis Functions
cites work: Solving differential equations with radial basis functions: Multilevel methods and smoothing
cites work: Convergence order estimates of meshless collocation methods using radial basis functions
cites work: The Spectral Projection Decomposition Method for Elliptic Equations in Two Dimensions
cites work: A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
cites work: Q3470840
cites work: Q4406360
cites work: Domain decomposition for radial basis meshless methods
cites work: Boundary Concentrated Finite Element Methods
cites work: On the construction of a well-conditioned basis for the projection decomposition method
cites work: Q4335359
cites work: Q4254887
cites work: Error estimates and condition numbers for radial basis function interpolation
cites work: Improved error bounds for scattered data interpolation by radial basis functions
cites work: Q4938102
cites work: Error estimates for interpolation by compactly supported radial basis functions of minimal degree
cites work: Meshless Galerkin methods using radial basis functions
cites work: Overlapping domain decomposition method by radial basis functions
cites work: Meshless Galerkin method based on regions partitioned into subdomains
cites work: Q4671629
cites work: A meshless Galerkin method for Dirichlet problems using radial basis functions
cites work: Q4818269
cites work: Local error estimates for radial basis function interpolation of scattered data
cites work: Compactly supported positive definite radial functions
DOI: 10.1016/J.AMC.2005.11.153
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description: scientific article; zbMATH DE number 5069152