A Meshless Technique Based on Integrated Radial Basis Function Networks for Elliptic Partial Differential Equations

DOI10.1007/978-3-540-79994-8_9zbMath1158.65350OpenAlexW2151125499WikidataQ58328992 ScholiaQ58328992MaRDI QIDQ3601903

Nam Mai-Duy, Thanh Tran-Cong

Publication date: 12 February 2009

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: http://eprints.usq.edu.au/4599/2/iwmm2007-program-final.pdf

zbMATH Keywords

numerical examplesradial basis functionsPoisson equationbiharmonic equationsDirichlet boundary value problemsintegral collocation formulationmeshless discretization

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

A new radial basis function for Helmholtz problems

Cites Work

• An efficient scheme for solving steady incompressible Navier-Stokes equations
• Incompressible flow calculations with a consistent physical interpolation finite volume approach
• Meshless methods: An overview and recent developments
• Approximation of function and its derivatives using radial basis function networks
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• Solving biharmonic problems with scattered-point discretization using indirect radial-basis-function networks
• Benchmark spectral results on the lid-driven cavity flow
• Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks
• A collocation method based on one‐dimensional RBF interpolation scheme for solving PDEs
• Computing a Trust Region Step
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• An efficient indirect RBFN‐based method for numerical solution of PDEs
• A Cartesian‐grid collocation method based on radial‐basis‐function networks for solving PDEs in irregular domains
• Scattered Data Approximation
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