Meshless Galerkin method using radial basis functions based on domain decomposition

DOI10.1016/J.AMC.2005.11.153zbMath1104.65108OpenAlexW2005394642MaRDI QIDQ849792

Yong Duan

Publication date: 31 October 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.153

zbMATH Keywords

Galerkin methodnumerical experimentradial basis function meshless method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Local radial basis function collocation method preserving maximum and monotonicity principles for nonlinear differential equations ⋮ Convolution hierarchical deep-learning neural network (C-HiDeNN) with graphics processing unit (GPU) acceleration ⋮ Radial basis functions and level set method for image segmentation using partial differential equation ⋮ An effective Chebyshev tau meshless domain decomposition method based on the integration-differentiation for solving fourth order equations

Uses Software

• Mfree2D

Cites Work

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• Convergence order estimates of meshless collocation methods using radial basis functions
• Error estimates for interpolation by compactly supported radial basis functions of minimal degree
• On the construction of a well-conditioned basis for the projection decomposition method
• Meshless methods: An overview and recent developments
• Meshless Galerkin method based on regions partitioned into subdomains
• Overlapping domain decomposition method by radial basis functions
• Error estimates and condition numbers for radial basis function interpolation
• Compactly supported positive definite radial functions
• Solving differential equations with radial basis functions: Multilevel methods and smoothing
• A meshless Galerkin method for Dirichlet problems using radial basis functions
• Local error estimates for radial basis function interpolation of scattered data
• The Finite Element Method with Penalty
• Improved error bounds for scattered data interpolation by radial basis functions
• Meshless Galerkin methods using radial basis functions
• Element‐free Galerkin methods
• The Spectral Projection Decomposition Method for Elliptic Equations in Two Dimensions
• Radial Basis Functions
• Boundary Concentrated Finite Element Methods
• Survey of meshless and generalized finite element methods: A unified approach
• A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
• PROJECTION DOMAIN DECOMPOSITION METHOD
• Domain decomposition for radial basis meshless methods

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