integrated radial basis functions
Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design
... on integrated radial basis functions (iRBF) for upper and lower bound yield design ...the integrated radial basis functions, and the equilibrium equations and ...
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A time discretization scheme based on integrated radial basis functions for heat transfer and fluid flow problems
... on integrated radial basis functions (IRBFs) and Cartesian grids, for solving time-dependent differential problems that can be defined on non-rectangular ...allows functions other than ...
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Parallel computations based on domain decompositions and integrated radial basis functions for fluid flow problems
... In previous chapters, the overlapping Domain Decomposition (DD) method has been investigated and parallel algorithms based on this scheme have been suc- cessfully implemented. Although overlapping DD method has the ...
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A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems
... weighted radial basis collocation method in which the residual error on the Neumann boundary is treated by a proper scaling ...for radial basis functions (RBF) by increasing the shape ...
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Compact approximation stencils based on integrated radial basis functions for fluid flows
... grated radial basis function (CLIRBF) stencils and its verification in the simula- tion of Newtonian and non-Newtonian fluid flows governed by the streamfunction- vorticity ...
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A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations
... solution of elliptic, parabolic and hyperbolic PDEs which govern many engineer- ing problems. In [7, 8, 9, 10, 11], practitioners demonstrated that the elliptic PDE solutions using DRBFs converge much faster than those ...
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Compact approximation stencils based on integrated radial basis functions for fluid flows
... capability (Park and Sandberg, 1991). Originally, RBFNs were used for function approximation and classification. Then, RBFNs were extended to a variety of ap- plications, e.g. the solution of ordinary differential ...
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Compact local stencils employed with integrated RBFs for fourth-order differential problems
... on integrated radial basis functions (IRBFs) for solving fourth-order ordinary differential equations (ODEs) and partial differential equations (PDEs) are ...
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Compact integrated radial basis function modelling of particulate suspensions
... 1. N. Thai-Quang, N. Mai-Duy, T. Tran-Cong (2011, September 6-10): A Numerical Study of Integrated Radial-Basis-Functions for the Pressure- Velocity Formulation. 7th International Conference ...
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Radial basis function (RBF)-based interpolation and spreading for the immersed boundary method
... compact integrated radial basis functions, using a smoothed version of the discrete delta functions to trans- fer the physical quantities between Eulerian and Lagrangian ...
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A symmetric integrated radial basis function method for solving differential equations
... paper, integrated radial basis functions (IRBFs) are employed for Hermite interpolation in the solution of differential equations, resulting in a new meshless symmetric RBF ...
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Compact integrated radial basis function modelling of particulate suspensions
... The IBM was originally introduced by Peskin (1972, 1977) to investigate the fluid dynamics of blood flow in human heart. The idea is to use an equivalent body force field to represent bodies immersed in a fluid and hence ...
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Compact approximation stencils based on integrated flat radial basis functions
... compact integrated radial basis function (CIRBF) stencils, based on extended precision, definite integrals, higher-order IRBFs and minimum number of derivative equations, to enhance their performance ...
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C2-Element radial basis function methods for some continuum mechanics problems
... Radial basis functions (RBFs) have recently emerged as an attractive tool for the solution of ordinary and partial differential equations (ODEs and PDEs) ...and integrated RBFs (IRBFs) has ...
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Numerical solution of Fokker-Planck equation using the integral radial basis function networks
... Recently, Radial basis functions (RBFs) have emerged as a powerful numerical tool for solving partial differential equations and this paper reports an integrated RBFs (IRBFs) based numerical ...
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Integrated radial basis function methods for Newtonian and non-Newtonian fluid flows
... of radial basis function networks (RBFNs) for solving partial differential equations (PDEs) has received a great deal of attention from both scientific and engineering research communities over the past 20 ...
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Computation of laminated composite plates using integrated radial basis function networks
... The meshless IRBFN method is applied to the static analysis of the bending behaviour of mod- erately thick laminated composite plates. Differ- ent geometries and boundary conditions are con- sidered. The RBFN methods ...
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Towards an analysis of shear suspension flows using radial basis functions
... paper, integrated RBFs (IRBFs) and point collocation are utilised in the context of bound- ary fitted Cartesian grids and sliding bi-periodic frames for the direct simulation of flows of Newtonian-based ...
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A numerical approach on Hiemenz flow problem using radial basis functions
... The shape parameter ϵ which is appeared in Table 1 affects both the accuracy of the approximation and the conditioning of the interpolation matrix [24]. In general, for a fixed number of N , smaller shape param- eters ...
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Reconstructing Surfaces by Volumetric Regularization Using Radial Basis Functions
... 1 To appear in IEEE Pattern Analysis and Machine Intelligence Reconstructing Surfaces By Volumetric Regularization Using Radial Basis Functions 1 1 2 Huong Quynh Dinh , Greg Turk , and G[r] ...
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