This paper presents a review of recent progress made towards the applications of the
meshfree particle methods (MPMs) for solving coupled fluid-structure interaction (FSI) …

The strain smoothing technique over higher order elements and arbitrary polytopes yields
less accurate solutions than other techniques such as the conventional polygonal finite …

Efficient implementation of the element-free Galerkin (EFG) method for a phase-field model
of linear elastic fracture mechanics is presented, in which the convenience of 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 work a stabilized mixed formulation for the solution of non-linear solid mechanics
problems in nearly-incompressible conditions is presented. In order to deal with high …

Gradient distributions of material properties are taken into account in phase-field model of
fracture and the adaptive consistent element-free Galerkin method (EFG) for the fracture …

Element-free Galerkin (EFG) method for three-dimensional phase-field model of cracks is
described. Quadratic moving least-squares (MLS) approximation is constructed for both the …

The stable node‐based smoothed particle finite element method (SNS‐PFEM) reduces
spatial numerical oscillation from direct nodal integration in NS‐PFEM but leads to a severe …

We present a B-bar formulation of the virtual element method (VEM) for the analysis of both
nearly incompressible and compressible materials. The material stiffness is decomposed …

This paper summarizes the development of Veamy, an object-oriented C++ library for the
virtual element method (VEM) on general polygonal meshes, whose modular design is …