Results 91 to 100 of about 10,988,138 (193)

Meshless Local Petrov-Galerkin (MLPG) Mixed Finite Difference Method for Solid Mechanics

open access: yes, 2006
The Finite Difference Method (FDM), within the framework of the Meshless Local Petrov-Galerkin (MLPG) approach, is proposed in this paper for solving solid mechanics problems.
Z. D. Han, H. T. Liu, S. N. Atluri
core   +1 more source

Elastoplastic Analysis of Metallic Parts Employing a Meshless Method. [PDF]

open access: yesACS Omega, 2023
Chhillar A   +5 more
europepmc   +1 more source

Numerical Simulations for Coupled Pair of Diffusion Equations by MLPG Method

open access: yesComputer Modeling in Engineering & Sciences, 2011
This paper deals with the development of a new method for solution of initial-boundary value problems governed by a couple of nonlinear diffusion equations occurring in the theory of self-organization in non-equilibrium systems. The time dependence is treated by linear interpolation using the finite difference method and the semi-discrete partial ...
S. Abbasbandy   +3 more
openaire   +1 more source

Accurate MLPG Solution of 3D Potential Problems

open access: yes, 2008
Meshless methods have been explored in many 2D problems and they have been shown to be as accurate as Finite Element Methods (FEM). Compared to the extensive literature on 2D applications, papers on solving 3D problems by meshless methods are ...
Giorgio Pini   +2 more
core   +2 more sources

Numerical Investigation on Direct MLPG for 2D and 3D Potential Problems

open access: yes, 2012
Pure meshless techniques are promising methods for solving Partial Differential Equations (PDE). They alleviate difficulties both in designing discretization meshes, and in refining/coarsening, a task which is demanded e.g.
Giorgio Pini   +8 more
core   +1 more source

Application of patch test in meshless analysis of continuously non-homogeneous piezoelectric circular plate

open access: yesApplied and Computational Mechanics, 2013
Proposed paper presents application of the patch test for meshless analysis of piezoelectric circular plate with functionally graded material properties.
Staňák P.   +4 more
doaj  

A combined approach of the MLPG method and nonlinear programming for lower-bound limit analysis

open access: yesThe International Conference on Computational & Experimental Engineering and Sciences, 2008
In most engineering applications, solutions derived from the lower-bound theorem of plastic limit analysis are particularly valuable because they provide a safe estimate of the load that will cause plastic collapse. A solution procedure based on the meshless local Petrov-Galerkin (MLPG) method is proposed for lower-bound limit analysis.
S. S. Chen, Y. H. Liu, Z. Z. Cen
openaire   +1 more source

Why Does MLPG Work? Introduction and Summary

open access: yes, 2020
Summary This is a short summary of recent mathematical results on error bounds and convergence of certain unsymmetric methods, including variations of Kansa's collocation technique and Atluri's MLPG ...
R Schaback
core  

Multiscale Simulation Based on The Meshless Local Petrov-Galerkin (MLPG) Method

open access: yes, 2004
A multiscale simulation technique based on the MLPG methods, and finite deformation mechanics, is developed, implemented, and tested. Several alternate time-dependent interfacial conditions, between the atomistic and continuum regions, are systematically
gping Shen, S. N. Atluri
core   +1 more source

MLPG Method Based on Rankine Source Solution for Modelling 3D Breaking Waves

open access: yesComputer Modeling in Engineering & Sciences, 2010
In this paper, the Meshless Local Petrov-Galerkin method based on Rankine source solution (MLPG_R) is further developed to model 3D breaking waves. For this purpose, the technique for identifying free surface particles called Mixed Particle Number Density and Auxiliary Function Method (MPAM) and the semi-analytical technique for estimating the domain ...
Zhou, J. T., Ma, Q. W.
openaire   +1 more source

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