Digital total variation (DTV) filtering techniques, that originated in the field of image processing, are adapted to postprocess Radial Basis Function approximations of piecewise continuous functions. Through numerical examples, we show that DTV filtering is a fast, robust, postprocessing method that can be used to remove Gibbs oscillations while sharply resolving discontinuities. The method is...

In smoothed particle hydrodynamics (SPH), an adaptive and meshfree particle method, the particle positions and velocities related to particle interactions must be updated at each time step. Thus, parallel computing is necessary to improve the numerical efficiency for the problems involving large computational domains. For the parallelization of the SPH method, the simulation domain is decompose...

In this paper we propose a meshfree technique for the numerical solution of the two dimensional Burger’s equation. Collocation method using the Radial Basis Functions (RBFs) is coupled with first order accurate finite difference approximation. Different types of RBFs are used for this purpose. Performance of the proposed method is successfully tested in terms of various error norms. In the case...

This paper presents a co-rotational beam formulation, which is used for geometric nonlinear analysis with the differential reproducing kernel (DRK) approximation collocation method. The present based on Timoshenko hypothesis, capable of effectively solving geometrically problems such as large deformation, postbuckling, lateral buckling, and snap-through problems. kinematics have been constructe...

Plant tissue has a complex cellular structure which is an aggregate of individual cells bonded by middle lamella. During drying processes, plant tissue undergoes extreme deformations which are mainly driven by moisture removal and turgor loss. Numerical modelling of this problem becomes challenging when conventional grid-based modelling techniques such as finite element and finite difference me...

In this paper we report some recent advances regarding applications using the method of finite spheres; a truly meshfree numerical technique developed for the solution of boundary value problems on geometrically complex domains. First, we present the development of a preprocessor for the generation of nodal points on twodimensional computational domains. Then, the development of a specialized v...