Strong-form approach to elasticity: Hybrid finite difference-meshless collocation method (FDMCM)
نویسندگان
چکیده
منابع مشابه
Meshless Finite Difference Method – State of the Art
MFDM [1, 3, 5, 16, 17] is the oldest and one of the most effective Meshless Methods [4, 6, 7]. Its current outlines, including the basic MFDM procedure, its various extensions and selected applications, demonstrating power, generality and versatility of the method competitive to main contemporary solution methods are briefly considered here. The MFDM may be applied in all formulations (strong, ...
متن کاملMeshless Local Petrov-Galerkin (MLPG) Mixed Collocation Method For Elasticity Problems
The Meshless Local Petrov-Galerkin (MLPG) mixed collocation method is proposed in this paper, for solving elasticity problems. In the present MLPG approach, the mixed scheme is applied to interpolate the displacements and stresses independently, as in the MLPG finite volume method. To improve the efficiency, the local weak form is established at the nodal points, for the stresses, by using the ...
متن کاملA Local Strong form Meshless Method for Solving 2D time-Dependent Schrödinger Equations
This paper deals with the numerical solutions of the 2D time dependent Schr¨odinger equations by using a local strong form meshless method. The time variable is discretized by a finite difference scheme. Then, in the resultant elliptic type PDEs, special variable is discretized with a local radial basis function (RBF) methods for which the PDE operator is also imposed in the local matrices. Des...
متن کاملApplication of Collocation Meshless Method to Eigenvalue Problem∗)
The numerical method for solving the nonlinear eigenvalue problem has been developed by using the collocation Element-Free Galerkin Method (EFGM) and its performance has been numerically investigated. The results of computations show that the approximate solution of the nonlinear eigenvalue problem can be obtained stably by using the developed method. Therefore, it can be concluded that the dev...
متن کاملA method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers
In this paper, an effective procedure based on coordinate stretching and radial basis functions (RBFs) collocation method is applied to solve singularly perturbed differential-difference equations with layer behavior. It is well known that if the boundary layer is very small, for good resolution of the numerical solution at least one of the collocation points must lie in the boundary layer. In ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2018
ISSN: 0307-904X
DOI: 10.1016/j.apm.2017.09.028