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 …

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 …

Meshfree methods such as reproducing kernel (RK) approximation are suitable for modeling
fluid flow problems because of their flexibility in controlling local smoothness and order of …

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 …

The stabilized conforming nodal integration (SCNI) is currently widely employed in Galerkin
meshfree formulation. A key ingredient of SCNI is the strain or gradient smoothing defined …

The essential topics of classical and advanced adaptive finite element methods (FEMs) for
linear and finite elastic deformations of solids and structures are presented in this chapter …

"Reproducing Kernel Particle Method for Solving Partial Differential Equations" in: Encyclopedia
of Computational Mech Page 1 Reproducing Kernel Particle Method for Solving Partial …

In this two-part paper, a stable and efficient nodally-integrated reproducing kernel particle
method (RKPM) is introduced for solving the governing equations of generalized …

The state-of-the-art locking-free meshfree Galerkin formulation for modeling the Reissner–
Mindlin plate problems is plagued by the following issues:(1) the requirement of a large …