Since most approximation functions in meshfree methods are rational functions which do not
possess the Kronecker delta property, how to achieve exact integration and accurately …

Meshfree direct collocation method (DCM) based on strong form suffers low accuracy and
instability compared with Galerkin-based meshfree methods. Meshfree weighted least …

Radial Basis Function (RBF) methods have become the primary tool for interpolating
multidimensional scattered data. RBF methods also have become important tools for solving …

This article presents the new version of the backward substitution method (BSM) for
simulating transfer in anisotropic and inhomogeneous media governed by linear and fully …

Though the technique introduced by Kansa is very successful in engineering applications,
there were no proven results so far on the unsymmetric meshless collocation method for …

The reproducing kernel (RK) approximation based direct collocation method (DCM) requires
the complex and time-consuming derivatives calculation of the approximation function, and …

A nonlinear formulation, based on the total Lagrange description of the weighted radial
basis collocation method (WRBCM), is proposed for the large deformation analysis of rubber …

无网格法因为不需要划分网格, 可以避免网格畸变问题, 使得其广泛应用于大变形和一些复杂
问题. 径向基函数配点法是一种典型的强形式无网格法, 这种方法具有完全不需要任何网格 …

In the study, a method is proposed and developed for solid analysis that is a hybrid of the
radial basis function and the finite element method (RBF-FEM). Based on the finite nodes …

The multinode Shepard operator is a linear combination of local polynomial interpolants with
inverse distance weighting basis functions. This operator can be rewritten as a blend of …