We present an open-source software RKPM2D for solving PDEs under the reproducing
kernel particle method (RKPM)-based meshfree computational framework. Compared to …

In order to improve computational efficiency of meshless methods based on Galerkin weak
form, a fast and efficient method based on the proper orthogonal decomposition (POD) …

With the aid of an efficient meshless numerical solution and the reproducing kernel particle
method, the feasibility for investigating the nonlinear vibrations of the carbon fiber reinforced …

The traditional element free Galerkin (EFG) approach is constructed on variational weak
form that the test and trial functions are shape functions of moving least squares (MLS) …

The meshless techniques are improved to simulate a wide range of the physical models.
Two common forms of the meshless methods are strong and (local) weak forms. In the …

The field of computational constitutive modelling for engineering applications is an active
research tread in academia. New advanced models and formulations are constantly …

In this paper, we use the reproducing kernel Hilbert space method for solving a boundary
value problem for the second order Bratu's differential equation. Convergence analysis of …

In this paper, we use a linear combination of the shape functions of reproducing kernel
particle method (RKPM) and RBFs for achieving the unknown weights into each stencil. We …

In this article, the element free Galerkin (EFG) method and Carrera's Unified Formulation
(CUF) are employed as the CUF–EFG method for the buckling analysis of multilayer GPLs …

This work presents an object-oriented implementation of the G/XFEM to model the crack
nucleation and propagation in structures made of either linear or nonlinear materials. A …