In this article, the transient dynamic analysis of two dimensional coupled non-Fick diffusionelasticity is carried out in functionally graded materials (FGMs) under shock loading using meshless local Petrov–Galerkin (MLPG) method. By using a unit step function as the test functions on small subdomains of circular shape in the local weak-form, the local integral equations (LIEs) are obtained for...

This study presents a meshless-based local reanalysis (MLR) method. The purpose of this study is to extend reanalysis methods to the Kriging interpolation meshless method due to its high efficiency. In this study, two reanalysis methods: combined approximations CA) and indirect factorization updating (IFU) methods are utilized. Considering the computational cost of meshless methods, the reanaly...

The objective of this paper is to present some of our recent developments in meshless methods. In particular, a technique is given ± the method of ®nite spheres ± that is truly meshless in nature in the sense that the nodes are placed and the numerical integration is performed without a mesh. The method can be viewed as a special case of the general formulation known as the meshless local Petro...

A time-domain adaptive algorithm was developed for solving elasto-dynamics problems through a mixed meshless local Petrov-Galerkin finite volume method (MLPG5). In this time-adaptive algorithm, each time-dependent variable is interpolated by time series function of n-order, which determined criterion in step. The high-order expanded variables bring high accuracy the domain, especially elasto-dy...

the meshless local radial point interpolation (mlrpi) method is applied to examine the magnetohydrodynamic (mhd) ow of third grade uid in a porous medium. the uid saturates the porous space between the two boundaries. several limiting cases of fundamental ows can be obtained as the special cases of present analysis. the variations of pertinent parameters are addressed.

We present a hybridized discontinuous Petrov–Galerkin (HDPG) method for the numerical solution of steady and time-dependent scalar conservation laws. The method combines a hybridization technique with a local Petrov–Galerkin approach in which the test functions are computed to maximize the inf-sup condition. Since the Petrov–Galerkin approach does not guarantee a conservative solution, we propo...