In this paper, we propose a new multilevel univariate approximation method with high order accuracy using radial basis function interpolation and cubic B-spline quasi-interpolation. The proposed approach includes two schemes, which are based on radial basis function interpolation with less center points, and cubic B-spline quasi-interpolation operator. Error analysis shows that our method produ...

The Kirchhoff-Love plate theory is appropriate for analysing thin structures. In a simple form, only one degree of freedom (per node) needed to describe the behaviour plate, thus saving computational cost. Besides, analysis cracked structures important because it related lifetime Therefore, this paper uses extended radial point interpolation method (XRPIM) investigate free vibration plate. XRPI...

This work presents a novel simulation approach to couple the meshfree radial point interpolation method (RPIM) with implicit direct time integration for transient analysis of wave propagation dynamics in non-homogeneous media. In this approach, RPIM is adopted discretization overall space domain, while domain completed by employing efficient Bathe stepping scheme. The dispersion demonstrates th...

In this paper, a meshless method for solving the eigenproblems of plate vibration using the radial basis function (RBF) is proposed. By employing the RBF in the imaginary-part fundamental solution, spurious eigenequations in conjunction with the true ones are obtained at the same time. Mathematical analysis for the appearance of spurious eigenequations by using degenerate kernel and circulant i...

in this paper the meshless local petrov-galerkin (mlpg) method is implemented to study the buckling of isotropic cylindrical shells under axial load. displacement field equations, based on donnell and first order shear deformation theory, are taken into consideration. the set of governing equations of motion are numerically solved by the mlpg method in which according to a semi-inverse method, ...

Meshless methods based on the local Petrov-Galerkin approach are proposed for solution of steady and transient heat conduction problem in a continuously nonhomogeneous anisotropic medium. Fundamental solution of the governing partial differential equations and the Heaviside step function are used as the test functions in the local weak form. It is leading to derive local boundary integral equat...

Point-based surface processing has developed into an attractive alternative to mesh-based processing techniques for a number of geometric modeling applications. By working with point cloud data directly, any processing is based on the given raw data and its underlying geometry rather than any arbitrary intermediate representations and generally artificial connectivity relations. In this paper, ...