Analysis of Axisymmetric Problems by Element-Free Galerkin Method

Abstract

In this paper, mesh-free Element-Free Galerkin method has been utilized for analysis of axisymmetric problems. To this aim, basic formulations and assumptions of the method for the case of axisymmetry are derived, and a simple problem of linearly elastic solid mechanics is taken as a benchmark for controlling the consistency of the proposed formulation as well as its accuracy in comparison to FEM. Two different norms for error estimation, i.e. displacement & stress norm, have been addressed in this study. Eventually, using these two norms, a parametric study has been performed on critical factors to demonstrate suitable parametric values. The numerical results show high dependency of the predicted values to the selection of these parameters.

Solution of Axisymmetric Inhomogeneous Problems with the Markov Chain Monte Carlo

“…Though Equation ( 26) can be used to find f V but Equation ( 23) is more efficient and accurate. However, if N is accurately calculated in Equation (23) or Equation (26), the solution should be "exact. "…”