The purpose of this review is to discuss the development and the contribution of the
experiments and numerical simulations in compression‐induced failure characteristics of …

A theoretical framework for the accuracy analysis of meshfree collocation methods is
presented with a particular focus on the effects of boundary conditions. In the proposed …

A fast element-free Galerkin (EFG) method is proposed for the numerical analysis of the
fractional diffusion-wave equation. In this method, a fast time discrete scheme is first derived …

The reproducing kernel gradient smoothing integration (RKGSI) is an efficient technique to
tackle the integration problem and optimal convergence in meshless methods. In this paper …

Presently, it has been widely recognized that numerical integration plays a crucial role on
the solution accuracy of Galerkin meshfree methods due to the rational nature of meshfree …

A stabilized element-free Galerkin (EFG) method is developed and analyzed in this paper for
the meshless numerical solution of Stokes problems. To accelerate the solution procedure …

A general arbitrary order recursive gradient formulation is presented for meshfree
approximation. According to this method, an n th order recursive meshfree gradient is …

Numerical integration poses greater challenges in Galerkin meshless methods than finite
element methods owing to the non-polynomial feature of meshless shape functions. The …

在无网格动力分析中, 除了无网格形函数本身构造复杂引入的计算成本, 还需要逐步递推求解每
个时间步的动力响应, 因而计算效率较为低下. 本文通过研究无网格离散数据与机器学习训练 …

In this work, the boundary layer flow of a Powell–Eyring non-Newtonian fluid over a
stretching sheet has been investigated by a reproducing kernel method. Reproducing kernel …