Adaptive mesh refinements for analyses of 2D linear elasticity problems using the Kriging-based finite element method

Finite element analyses of irregular structures require adaptive mesh refinement to achieve more accurate results in an efficient manner. This is also true for a non-conventional finite method with Kriging interpolation, called the Kriging-based (K-FEM). paper presents study automatic meshing procedures two-dimensional linear elasticity problems using K-FEM. The Matlab Partial Differential Equation Toolbox was utilized generating meshes Delaunay triangulation. Three error indicators, namely, strain energy error, gradient effective stresses, and element-free Galerkin were employed estimating errors. To find most indicator, resulting total number elements configurations final compared. show that affected by initial configurations, criteria, termination criteria. stresses indicator found be K-FEM, as it can accurately estimate