Numerical Investigation of Support Domain Coefficient of Moving Least Squares Shape Functions with Element free Galerkin method
In this paper, the effects of the specific value of the domain radius and the integration cell distributions on the convergence behaviour of the element free Galerkin meshless method are numerically investigated. In the numerical analyses, moving least squares approximation was utilized to construct the mesh free shape functions. Gauss quadrature was chosen as the integration scheme. The back cell integration domains were built for both the bounding box and manual definition methods. To satisfy the Kronecker delta property, the shape functions were modified. The numerical results are compared with the existing analytical and numerical data.
Keywords - Element Free Galerkin Method, Boundary Value Problems, Initial Boundary Value Problems, Moving Least Squares, Domain Radius.