The global Galerkin or weighted residuals method applied to the incompressible Navier–Stokes equations is considered. The basis functions are assumed to be divergence-free and satisfy all the boundary conditions. The method is formulated for an arbitrary inner product, so that the pressure cannot be eliminated by Galerkin projections on a divergence-free basis. A proposed straightforward proced...

One of mesh free methods, element Galerkin method, is presented to analyze the finite beam on elastic foundation. The shape functions are constructed by using moving least square interpolation based a set nodes that arbitrarily distributed in specified domain. Discrete system equations derived from variation form equations. Numerical examples foundation given establishing Matlab code. results t...

This paper presents the application of the hybrid finite element-element free Galerkin (FE-EFG) method for the forward and inverse problems of electrical impedance tomography (EIT). The proposed method is based on the complete electrode model. Finite element (FE) and element-free Galerkin (EFG) methods are accurate numerical techniques. However, the FE technique has meshing task problems and th...