Results 141 to 150 of about 1,334 (186)

Extrinsic Meshless Collocation Methods for PDEs on Manifolds

SIAM Journal on Numerical Analysis, 2020
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Meng Chen 0010, Leevan Ling
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Least‐squares collocation meshless method

International Journal for Numerical Methods in Engineering, 2001
AbstractA finite point method, least‐squares collocation meshless method, is proposed. Except for the collocation points which are used to construct the trial functions, a number of auxiliary points are also adopted. Unlike the direct collocation method, the equilibrium conditions are satisfied not only at the collocation points but also at the ...
Zhang, Xiong, Liu, Xiaohu, Song, Kangzu, Lu, Mingwan   +3 more
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A meshless method for solving mKdV equation

Computer Physics Communications, 2012
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Reza Mokhtari, Majid Mohseni
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Meshless method with ridge basis functions

Applied Mathematics and Computation, 2010
The authors introduce a meshless method based on collocation with ridge basis functions. They briefly show the existence and uniqueness of the discrete solution and solve two elementary boundary value problems. The exact solutions are computed with modest accuracy.
Zhigang Wang, Xinqiang Qin, Guo Wei, Lijun Su, Lihua Wang, Baoyan Fang   +5 more
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SOLVING BURGERS EQUATION BY A MESHLESS METHOD

Modern Physics Letters B, 2005
Burgers equation is a fundamental partial differential equation of second order to describe the integrated process of convection-diffusion in physics. It occurs in various areas of applied mathematics and physics, such as modeling of turbulence, boundary layer behavior, shock wave formation, and mass transport.
Shi, B. J., Shu, D. W., Song, S. J., Zhang, Y. M.   +3 more
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Simulation of Impact and Fragmentation With the Meshless Methods

ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 4, 2010
High velocity impact and penetration problems include large deformation, erosion, high strain rate dependent nonlinear material behavior and fragmentation. Therefore, meshless methods seem to be ideally suited for the modeling of penetration events as they allow unrestricted deformation and easy tracking of material interfaces and loading histories. In
Namık Kılıc¸, Atıl Erdik, Bu¨lent Ekici   +2 more
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On Approximation in Meshless Methods

2005
We analyze the approximation properties of some meshless methods. Three types of functions systems are discussed: systems of functions that reproduce polynomials, a class of radial basis functions, and functions that are adapted to a differential operator.
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Meshless RKHPU method and its applications

Mathematics and Computers in Simulation, 2007
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Meshless Methods Introduction

2014
In this chapter the most important meshless method concepts are detailed introduced. The chapter stars with a generic description on the meshless procedure. Additionally, it is presented a brief comparison between procedures of the finite element method (FEM) and the meshless method.
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Progress on Meshless Methods

2009
Preface Particular Solution of Poisson Problems using Cardinal Lagrangian Polyharmonic Splines, by B. Bacchelli and M. Bozzini A Meshless Solution to the p-Laplace Equation, by F. Bernal and M. Kindelan Localized Radial Basis Functions with Partition of Unity Properties, by J.S. Chen, W. Hu and H.Y.
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