Meshless Methods based on Radial Basis Functions
Radial basis function based meshless methods for fluid flow problems
... using radial basis functions to solve large scale problems encountered in fluid flow ...and radial basis functions in finite difference ...equations. Meshless ...
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An adaptive meshless method of line based on radial basis functions
... In this paper, an Equidistribution algorithm has been applied to distribute the central nodes in adaptive modes to RBF methods. To have some smooth- ness properties, by the e.d. algorithm, the central nodes ...
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Solving Helmholtz Equation by Meshless Radial Basis Functions Method
... using meshless method based on radial basis functions (MLM-RBF) ...RBF basis functions are used in a point matching method to solve the Helmholtz equation only in ...
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Adaptive WENO methods based on radial basis functions reconstruction
... used basis functions combine good approximation behavior with good numerical ...one radial basis function φ can perform better than another one depending on the function to be interpolated ...
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Multifidelity surrogate modeling based on Radial Basis Functions
... Received: date / Accepted: date Abstract Multiple models of a physical phenomenon are sometimes available with different levels of approx- imation. The high fidelity model is more computation- ally demanding than the ...
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Coupling Projection Domain Decomposition Method and Meshless Collocation Method Using Radial Basis Functions in Electromagnetics
... efficient meshless approach for solving electrostatic ...is based on combination of radial basis functions-based meshless unsymmetric collocation method with projection ...
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Accelerating the Performance of a Novel Meshless Method Based on Collocation With Radial Basis Functions By Employing a Graphical Processing Unit as a Parallel Coprocessor
... All fixed-function hardware is grouped around the SPA. The data flow for a typical rendering task and thus, the mapping of the graphics pipeline to this processor, is as follows: The input assembler collects per vertex ...
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A meshless technique based on integrated radial basis function networks for elliptic partial differential equations
... meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the math- ematical analysis and practical implementation of meshfree methods ...
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Rapid evaluation of radial basis functions
... of Radial Basis Functions September 30, 2004 Abstract Over the past decade, the radial basis function method has been shown to produce high quality solutions to the multivariate ...
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Meshless radial basis function method for unsteady incompressible viscous flows
... are based on the Indirect/Integrated Radial Basis Function Network (IRBFN) method which is fully meshless as no element-type mesh is ...implement meshless numeri- cal schemes for ...
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Meshless radial basis function method for unsteady incompressible viscous flows
... new meshless schemes for solving time- dependent partial differential equations (PDEs) and for the numerical simula- tion of some typical unsteady incompressible viscous ...are based on the ...
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On the Interpolation of Smooth Functions via Radial Basis Functions
... Many questions arise from this theorem, one of which is the question of summa- bility. The function sin(x)/x decays like 1/|x|, which is quite slow. Consequently, the series above does not converge uniformly in general, ...
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Model-Based Feature Selection Based on Radial Basis Functions and Information Measures
... presented, based on a Radial-Basis- Function Neural-Fuzzy modelling ...both based on information entropy: mutual information, and cross-sample ...– based implementation of the algorithm ...
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Compact approximation stencils based on integrated flat radial basis functions
... stencils based on one- and two-dimensional approximations are capable of producing a stable solution over large values of the RBF ...approaches, based on extended precision, definite integrals, higher IRBF ...
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Modal-based phase retrieval using Gaussian radial basis functions
... point-spread functions (PSF) in adaptive optics due to its experimental simplicity [ 1 , 2 ...(AP) methods, pioneered by Gerchberg and Saxton [ 3 ] and Fienup [ 4 ...
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Radial Basis Functions: Biomedical Applications and Parallelization
... These methods solve a set of linear equations which are constructed after the analysis of the entire problem domain is analyzed and divided into elements or ...polynomial based methods are very ...
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Mesh-Free Semi-Lagrangian Methods for Transport on a Sphere Using Radial Basis Functions
... SL methods for transport on a sphere based on interpolation with global RBFs, local RBFs, and RBF-PU ...These methods are mesh-free, allowing for scattered node discretizations, and are formulated ...
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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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Compact approximation stencils based on integrated radial basis functions for fluid flows
... Numerical methods can also be classified into global and ...spectral methods, DQMs and RBFNs. However, global methods are geometrically less flexible and more complicated to ...local methods, ...
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Grid refinement in the construction of Lyapunov functions using radial basis functions
... The CPA method constructs a CPA (continuous piecewise affine) Lyapunov function using linear optimization [13, 14]. A simplicial complex is fixed and the space of CPA functions which are affine on each simplex is ...
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