Results 31 to 40 of about 1,967 (199)

Numerical Solution of Sine‐Gordon Equation with the Local Kriging Meshless Method

open access: yesMathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
This paper develops a local Kriging meshless solution to the nonlinear 2 + 1‐dimensional sine‐Gordon equation. The meshless shape function is constructed by Kriging interpolation method to have Kronecker delta function property for the two‐dimensional field function, which leads to convenient implementation of imposing essential boundary conditions ...
Pengfei Guo   +4 more
wiley   +1 more source

An advanced meshless method for time fractional diffusion equation [PDF]

open access: yes, 2011
Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modelling and simulation for fractional calculus are ...
Gu Y. T.   +7 more
core   +2 more sources

Node-to-Node Realization of Meshless Local Petrov Galerkin (MLPG) Fully in GPU

open access: yesIEEE Access, 2019
This paper presents an end-to-end massively parallelized procedure for the solution of boundary value problems on Graphics Processing Units (GPU). The proposal is an integrated strategy that not only entails the calculation of nodal contributions, and ...
Lucas Pantuza Amorim   +3 more
doaj   +1 more source

Axisymmetric Elastic stress investigation of a 2D- FGM thick hollow cylinder with new material model [PDF]

open access: yesمجله مدل سازی در مهندسی, 2019
In this paper elastic mechanical stress analysis for a 2D- FGM thick hollow cylinder with finite length have been conducted in which the material properties distributions are following a new developed material model according to the Mori- Tanaka scheme ...
Amir Najibi, Ramezanali Hajighorbani
doaj   +1 more source

MLPG_R Method for Numerical Simulation of 2D Breaking Waves [PDF]

open access: yes, 2009
Following our previous work, the Meshless Local Petrov-Galerin method based on Rankine source solution (MLPG_R) will be extended in this paper to deal with breaking waves.
Ma, Q., Zhou, J.
core   +1 more source

Analysis of Two Dimensional Steady-State Heat Conduction Problems by MLPG Method [PDF]

open access: yesInternational Journal of Advanced Design and Manufacturing Technology, 2011
Numerical solutions obtained by the Meshless local Petrov–Galerkin (MLPG) method are presented for two-dimensional steady-state heat conduction problems.
GholamHosein Baradaran   +1 more
doaj  

Further Developments in the MLPG Method for Beam Problems

open access: yesComputer Modeling in Engineering & Sciences, 2003
An accurate and yet simple Meshless Local Petrov-Galerkin (MLPG) formulation for analyzing beam problems is presented. In the formulation, simple weight functions are chosen as test functions as in the conventional MLPG method. Linear test functions are also chosen, leading to a variation of the MLPG method that is computationally efficient compared to
Raju, I. S., Phillips, D. R.
openaire   +2 more sources

Modified SFDI for fully nonlinear wave simulation [PDF]

open access: yes, 2015
In the Meshless Local Petrove-Galerkin based on Rankine source solution (MLPG-R), a simplified finite difference interpolation (SFDI) scheme was developed for numerical interpolation and gradient calculation (CMES, Vol. 23(2), pp. 75-89). Numerical tests
Ma, Q., Xu, G., Yan, S.
core   +2 more sources

An Efficient Radial Basis Function Meshfree Local Petrov–Galerkin Method for Modeling the Unidirectional Fully Developed Fluid Flow

open access: yesJournal of Applied Fluid Mechanics, 2020
In hydrodynamics the applications range of incompressible flows is very wide. In this study, a robust, high order modeling approach is introduced, based on the MLPG meshfree method -based radial basis functions (RBF- MLPG) method, for solving the ...
I. Saeedpanah   +2 more
doaj  

Characteristic-Based Split Meshless Solution for Couette Flow

open access: yesCivil and Environmental Engineering, 2014
The paper deals with use of the meshless method for incompressible fluid flow analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) - local weak formulation of the Navier ...
Mužík Juraj
doaj   +1 more source

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