Results 11 to 20 of about 875 (203)

Further Developments in the MLPG Method for Beam Problems [PDF]

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   +3 more sources

Accurate MLPG Solution of 3D Potential Problems

open access: yesComputer Modeling in Engineering & Sciences, 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 surprisingly few. Indeed, a main drawback of these methods is the requirement for accurate cubature rules. This
PINI, GIORGIO   +2 more
core   +5 more sources

A comparison study on different MLPG (LBIE) formulations

open access: yesComputer Modeling in Engineering & Sciences, 2006
Comparison studies on the accuracy provided by five different elastostatic Meshless Local Petrov-Galerkin (MLPG) type formulations, based on Local Boundary Integral Equation (LBIE) considerations, are made. The main differences of these MLPG(LBIE) formulations, as they compared to each other, are concentrated on the treatment of tractions on the local ...
Vavourakis, V.   +2 more
openaire   +2 more sources

The MLPG analysis of crack problems in magnetoelectroelastic solids [PDF]

open access: yesComputer Methods in Materials Science, 2011
A meshless method based on the local Petrov-Galerkin approach is applied for boundary value problems with cracks in magnetoelectroelastic solids. A unit step function is used as the test functions in the local weak-form.
Jan Sladek, Vladimir Sladek
doaj   +2 more sources

Numerical MLPG Analysis of Piezoelectric Sensor in Structures [PDF]

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   +2 more sources

The MLPG in gradient theory for size-dependent magnetoelectroelasticity [PDF]

open access: yesComputer Methods in Materials Science, 2017
The strain gradient magnetoelectroelasticity is applied to solve two-dimensional boundary value problems. The electric and magnetic field-strain gradient coupling is considered in constitutive equations.
Jan Sladek   +2 more
doaj   +2 more sources

On shear locking in MLPG solid-shell approach

open access: yesComputer Modeling in Engineering & Sciences, 2011
A solid-shell MLPG approach for the numerical analysis of plates and shells is presented. A special attention is devoted to the transversal shear locking effect that appears in the structure thin limit. The theoretical origins of shear locking in the purely displacement-based approach are analyzed by means of the consistency paradigm.
Jarak, Tomislav, Sorić, Jurica
openaire   +3 more sources

An Efficient Hybrid Implementation of MLPG Method

open access: yesJournal of Multiscale Modelling, 2017
The computational implementation of moving least squares (MLS) shape functions is an important step to consider in some versions of the meshless local Petrov–Galerkin (MLPG) method for a variety of two-dimensional engineering problems. Here, the usage of conventional Gaussian quadrature in the MLPG may require an excessive number integration points to
M. Barbosa   +3 more
openaire   +2 more sources

Numerical Investigation on Direct MLPG for2D and 3D Potential Problems

open access: yesComputer Modeling in Engineering & Sciences, 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. in adaptive strategies.
MAZZIA, ANNAMARIA   +2 more
openaire   +3 more sources

Applications of the MLPG Method in Engineering & Sciences: A Review

open access: yesComputer Modeling in Engineering & Sciences, 2013
A review is presented for analysis of problems in engineering & the sciences, with the use of the meshless local Petrov-Galerkin (MLPG) method. The success of the meshless methods lie in the local nature, as well as higher order continuity, of the trial function approximations, high adaptivity and a low cost to prepare input data for numerical analyses,
J. Sladek   +4 more
openaire   +2 more sources

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