Optimum Value of Dimensionless Size of the Support Domain for Element Free Galerkin Mesh Free Method
Keywords:
Meshfree, FEM, EFG, weight functions, Dimensionless size of support domain, MatlabAbstract
Finite Element Method (FEM) is an established numerical solution technique for engineering problems in various fields. Mesh free (MF) methods are among the breed of numerical analysis technique that are being vigorously developed to avoid the drawbacks that traditional methods like Finite Element method (FEM) possess. The Element Free Galerkin (EFG) method is a meshless method in which only a set of nodes and a description of model’s boundary are required to generate the discrete equations.The aim of this paper is to find optimum value of the dimensionless size of support domain, (dmax) for different weight function and nodal distribution. The EFG method is applied to one dimensional structural problem of a bar and results obtained using MATLAB program A comparison of finite element solution has been also performed to compare the accuracy of the solutions.
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