Atluri, S.N., Han, Z.D. and Shen, S. (2003) Meshless Local Petrov-Galerkin (MLPG) Approaches for Solving the Weakly-Singular Traction & Displacement Boundary Integral Equations, CMES, 4, 507-517.

has been cited by the following article:

• TITLE: A Study of the Elastodynamic Problem by Meshless Local Petrov-Galerkin Method Using the Laplace-Transform

  AUTHORS: Jaouad Eddaoudy, Touria Bouziane

  KEYWORDS: Meshless, MLPG, Weak Form, MLS, PDEs, Elastodynamic, Laplace Transform, Support Domain, Quadrature Domain, Regular Distribution

  JOURNAL NAME: World Journal of Mechanics, Vol.8 No.2, February 14, 2018

  ABSTRACT: The Meshless Local Petrov-Galerkin (MLPG) with Laplace transform is used for solving partial differential equation. Local weak form is developed using the weighted residual method locally from the dynamic partial differential equation and using the moving least square (MLS) method to construct shape function. This method is a more effective alternative than the finite element method for computer modelling and simulation of problems in engineering; however, the accuracy of the present method depends on a number of parameters deriving from local weak form and different subdomains. In this paper, the meshless local Petrov-Galerkin (MLPG) formulation is proposed for forced vibration analysis. First, the results are presented for different values of as, and aqwith regular distribution of nodes nt=55. After, the results are presented with fixed values ofasand aqfor different time-step.