COMPARISON BETWEEN GLOBAL, CLASSICAL DOMAIN DECOMPOSITION AND LOCAL, SINGLE AND DOUBLE COLLOCATION METHODS BASED ON RBF INTERPOLATION FOR SOLVING CONVECTION-DIFFUSION EQUATION

DOI10.1142/S0129183108013102zbMath1171.65088MaRDI QIDQ3631040

Gail Gutierrez, Whady F. Flórez

Publication date: 5 June 2009

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

zbMATH Keywords

convection-diffusion equationnumerical examplescollocation methodsdomain decomposition methodsradial basis functionmeshless methodperformance comparisondouble collocation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear boundary value problems for linear elliptic equations (35J65)

Cites Work

• On using radial basis functions in a ``finite difference mode with applications to elasticity problems
• Radial point interpolation collocation method (RPICM) for partial differential equations
• \(hp\)-meshless cloud method
• Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli
• A comparison analysis between unsymmetric and symmetric radial basis function collocation methods for the numerical solution of partial differential equations
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• A double boundary collocation Hermitian approach for the solution of steady state convection-diffusion problems
• Radial point interpolation collocation method (RPICM) for the solution of nonlinear Poisson problems
• Meshless techniques for convection dominated problems
• Radial point collocation method (RPCM) for solving convection-diffusion problems
• Scattered node compact finite difference-type formulas generated from radial basis functions
• COMPARATIVE STUDY OF THE MULTIQUADRIC AND THIN-PLATE SPLINE RADIAL BASIS FUNCTIONS FOR THE TRANSIENT-CONVECTIVE DIFFUSION PROBLEMS
• From Global to Local Radial Basis Function Collocation Method for Transport Phenomena
• Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems
• Error estimates of local multiquadric-based differential quadrature (LMQDQ) method through numerical experiments

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