Abstract This paper proposes a local meshless radial basis function (RBF) method to obtain the solution of two-dimensional time-fractional Sobolev equation. The model is formulated with Caputo fractional derivative. uses RBF approximate spatial operator, and finite-difference algorithm as time-stepping approach for in time. stability technique examined by using matrix method. Finally, two numer...

We analyze plane strain static thermoelastic deformations of a simply supported functionally graded (FG) plate by a meshless local Petrov–Galerkin (MLPG) method. Material moduli are assumed to vary only in the thickness direction. The plate material is made of two isotropic randomly distributed constituents and the macroscopic response is also modeled as isotropic. Displacements and stresses co...

The performance of the parallel implementation of the local meshless numerical method in solving system of coupled partial differential equations is explored. Presented numerical approach makes the computation convenient for parallel implementation using OpenMP based parallelization. The numerical experiments are performed on the de Vahl Davis natural convection case, with superlinear computati...

A revolution in sensor technology is introducing new problems that must be addressed by visualization research. These technologies will enable earthquake engineers to monitor tectonic plate activity, park rangers to respond more effectively to wildfires, and marine biologists to uncover mysteries from the ocean depths using a network of small, lightweight sensors collecting data in real-time. V...

We use the global collocation method, the first and the third-order shear deformation plate theories, the Mori–Tanaka technique to homogenize material properties, and approximate the trial solution with multiquadric radial basis functions to analyze free vibrations of functionally graded plates. Frequencies computed by the present method are found to agree well with those from the analytical so...

A non-overlapping domain decomposition algorithm combining boundary element method with meshless local Petrov-Galerkin method is presented for solving the boundary value problem with discontinuous coefficient in this paper. The static relaxation parameter is employed to speed up the convergence rate. The convergence range and the optimal value of static relaxation parameter are studied, but the...

Keywords: ADI leapfrog method Meshless methods Smoothed particle electromagnetics a b s t r a c t Grid based methods coupled with an explicit approach for the evolution in time are traditionally adopted in solving PDEs in computational electromagnetics. The discretiza-tion in space with a grid covering the problem domain and a stability step size restriction, must be accepted. Evidence is given...

This paper presents a meshless point collocation method for three-dimensional crack propagation. The meshless point collocation method is based on direct discretization of strong-form governing equations to achieve a truly meshless scheme that does not require mesh structures or a numerical integration procedure. These characteristics of the point collocation method enable the direction of an a...

In this paper, we articulate a meshless computational paradigm for the effective modeling, accurate physical simulation, and real-time animation of point-sampled solid objects. Both the interior and the boundary geometry of our volumetric object representation only consist of points, further extending the powerful and popular method of point-sampled surfaces to the volumetric setting. We build ...