In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

Convergent and stable domain integration that is also computationally efficient remains a
challenge for Galerkin meshfree methods. High order quadrature can achieve stability and …

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 reproducing kernel gradient smoothing framework with explicit quadrature rules is
proposed for efficient Galerkin meshfree formulation. In this framework, the meshfree …

An efficient nesting sub-domain gradient smoothing integration algorithm is proposed for
Galerkin meshfree methods with particular reference to the quadratic exactness. This …

In this paper, a stable node-based smoothed finite element method (SNS-FEM) is presented
for analyzing metal forming problems using linear triangular or tetrahedral elements. In …

In this two-part paper we begin the development of a new class of methods for modeling
fluid–structure interaction (FSI) phenomena for air blast. We aim to develop accurate, robust …

A nonlinear nodal‐integrated meshfree Galerkin formulation based on recently proposed
strain gradient stabilization (SGS) method is developed for large deformation analysis of …

This article addresses a naturally stabilized nodal integration (NSNI) meshfree formulation
for static, free vibration and buckling analyses of laminated composite and sandwich plates …

Finite element simulations of frictional multi-body contact problems via conformal meshes
can be challenging and computationally demanding. To render geometrical features …