Results 21 to 30 of about 136 (126)

Research on Error Estimations of the Interpolating Boundary Element Free‐Method for Two‐Dimensional Potential Problems

open access: yesMathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
The interpolating boundary element‐free method (IBEFM) is a direct solution method of the meshless boundary integral equation method, which has high efficiency and accuracy. The IBEFM is developed based on the interpolating moving least‐squares (IMLS) method and the boundary integral equation method.
Jufeng Wang   +3 more
wiley   +1 more source

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

Meshless Modelling of Laminate Mindlin Plates under Dynamic Loads

open access: yesCommunications, 2012
Collocation method and Galerkin method have been dominant in the existing meshless methods. A meshless local Petrov-Galerkin (MLPG) method is applied to solve laminate plate problems described by the Reissner-Mindlin theory for transient dynamic loads ...
Milan Zmindak, Daniel Riecky
doaj   +1 more source

Meshless simulation of dam break using MLPG-RBF and shallow water equations

open access: yesMATEC Web of Conferences, 2017
This article focuses on the application of the meshless local Petrov-Galerkin (MLPG) method to solve the shallow water equations (SWE). This localized approach is based on the meshless weak formulation with the use of radial-basis functions (RBF) as the ...
Mužík Juraj, Holičková Martina
doaj   +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  

Analysis of Piezoelectric Semiconducting Solids by Meshless Method

open access: yesJournal of Mechanical Engineering, 2015
In this paper, a meshless local Petrov-Galerkin (MLPG) method is proposed to calculate mechanical and electrical responses of three-dimensional piezoelectric semiconductors under static load.
Staňák P., Sládek J., Sládek V.
doaj   +1 more source

Numerical MLPG Analysis of Piezoelectric Sensor in Structures

open access: yesSlovak Journal of Civil Engineering, 2014
The paper deals with a numerical analysis of the electro-mechanical response of piezoelectric sensors subjected to an external non-uniform displacement field.
Staňák Peter   +3 more
doaj   +1 more source

Meshless Local Petrov-Galerkin Method for 3D Steady-State Heat Conduction Problems

open access: yesAdvances in Mechanical Engineering, 2011
The Meshless Local Petrov-Galerkin (MLPG) method is applied for solving the three-dimensional steady state heat conduction problems. This method is a truly meshless approach; also neither the nodal connectivity nor the background mesh is required for ...
M. J. Mahmoodabadi   +3 more
doaj   +1 more source

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

Meshless Local Petrov-Galerkin (MLPG) Mixed Collocation Method For Elasticity Problems

open access: yesComputer Modeling in Engineering & Sciences, 2006
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.
Atluri, S. N., Liu, H. T., Han, Z. D.
openaire   +1 more source

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