[PDF] Top 20 An adaptive meshless method of line based on radial basis functions

... of radial basis functions (RBFs) in the mesh- less methods, for numerical solution of various types of partial differential equations (PDEs) has been developed ...this method is the mesh-free ... See full document

... local meshless method (LMM) based on radial basis functions (RBFs) is utilized for the numerical solution of various types of PDEs, due to the flexibility with respect to ... See full document

... integrals. Line integrals are evaluated by means of the middle point rule ...proposed method is numerically investigated through the solution of several test problems including natural convection in an ... See full document

... mesheless method of lines that decomposes the interior and boundary centers to obtain the numerical solution of the time dependent ...the method is applied with an adaptive algorithm to obtain the ... See full document

... novel meshless method based on (i) Mov- ing Integrated Radial Basis Function Network (MIRBFN) and (ii) (global weak form) Galerkin formulation, resulting in Moving IRBFN Galerkin ... See full document

... RBF method. In comparison the symmetric method is well- posed and the non-singularity of the coefficient matrix has been proved in Wu ...of basis functions based on far field expansions ... See full document

... The meshless IRBFN method is applied to the static analysis of the bending behaviour of mod- erately thick laminated composite ...is based on strong form/point colloca- tion, and its “shape ... See full document

... The meshless methods based on radial basis func- tions (RBF) has been considered as a powerful and prospective numerical method for the interpolation problems and solving differential ... See full document

... a meshless method based on radial basis function (RBF) collocation to solve three-dimensional scalar Helmholtz equation in rectangular coordinates and analyze the eigenvalues of ... See full document

... In three typical waveguide problems, the field distributions of TE and TM modes perfectly represents the physical mode distribution, which shows that the field distributions could be correctly calculated by the proposed ... See full document

... ric method and projection domain decomposition for solving mag- neto/electrostatic problems is ...RBF-based meshless method provides a global interpolation formula not only for the solution ... See full document

... However, according to ’uncertainty principle’ of Schaback [36], as the error becomes smaller, the matrix becomes more ill-conditioned; hence the solution will break down as c becomes too large. The experimental results ... See full document

... the meshless approach is not to dwell on various schemes to deal with pressure ...developed meshless approaches use the streamfunction-vorticity and temperature equations ... See full document

... cation method based on radial basis functions to solve the fractional Bagley-Torvik equation under uncertainty, in the fuzzy Caputo’s H-differentiability sense with order (1 < ν < ... See full document

... Galerkin method is to determine the solution of a system of equations obtained by the variational formulation of the main ...This method has also more computational cost than the collocation method, ... See full document

... and d even, for which we first establish that these are, indeed, polyharmonic radial basis functions. It is usual to refer the reader to standard texts such as Jones [10] for the explicit formulae ... See full document

... The use of the domain embedding approach for solving differential problems defined on irregular domains has received much increased attention in recent years (e.g. Glowinski et al., 1994; Maury, 2001; Parvizian et al., ... See full document

... Example 2. The BER performance of the two benchmarkers, the L-MBER beamformer and the Bayesian detector, are shown in Fig. 6. The size of the Bayesian detector is N sb = 16 . The convergence performance of the NLBER ... See full document

... 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 ... See full document

... The rest of the paper is as follows: In Section 2, Chebyshev wavelet and its properties are discussed. Operational matrix of derivative required for our subsequent develop- ment is presented in Section 3. Section 4 is ... See full document