Zhu, "A new Meshless Local Petrov-Galerkin (MLPG
) approach in computational mechanics," Computational Mechanics, vol.
The remainder indexes presented a compatible performance with the MLPG
. This results highlights customs index as a key logistic aspect in which Brazil should consistently invest in reforms and improvements.
Major approaches reviewed by them were SPH, meshfree Galerkin methods like DEM, EFG, MLPG
, and hp cloud and some applications of molecular dynamics (MD) .
Observing the figure, it is apparent that the MLPG
is providing a more accurate response throughout the analysed frequency range, exhibiting a lower error than the FEM even at high frequencies.
N., Meshless local Petrov Galerkin method (MLPG
) for convection-diffusion problems.
Y., A Critical Assessment of the Truly Meshless Local Petrov-Galerkin (MLPG
) and Local Boundary Integral Equation (LBIE) Methods, Computational Mechanics, Springer, 24 (5), 1999, pp.
One of these meshless method is the Meshless Local Petrov-Galerkin (MLPG
Chen, "Free and forced vibrations of thick rectangular plates using higher-order shear and normal deformable plate theory and meshless PetrovoGalerkin (MLPG
) method," CMES, vol.
During the past several decades, there are about 10 different meshless methods that have been developed, such as the Smooth Particle Hydrodynamics (SPH) , the Element-Free Galerkin (EFG) method , the Reproducing Kernel Particle (RKP) method , the Finite Point (FP) method , the hp clouds method , Meshless Local Petrov-Galerkin (MLPG
) , Local Boundary Integral Equation(LBIE) [23, 24], and several others.
and Zhu, T., A New Meshless Local Petrov-Galerkin (MLPG
) Approach in Computational Mechanics, Computational Mechanics, Vol.
Researchers have presented many kinds of meshless methods, including the diffuse element method (DEM) , the smoothed particle hydrodynamics (SPH) method , the reproducing kernel particle method (RKPM) , the element-free Galerkin (EFG) method [34-37], the meshless local Petrov-Galerkin method (MLPG
) [38-40], the hp-meshless cloud method , boundary element-free method (BEFM) [42, 43], the complex variable meshless method [44, 45], radius basis functions (RBF) , and LBIE method .
Several meshless techniques have been developed, for example, the "diffuse element method" the "element-free Galerkin (EFG)" method  "meshless local Petrov-Galerkin (MLPG
)" method , the "smooth particle hydrodynamics (SPH)" method, the "reproducing Kernel particle" method  "boundary node" method [14, 15]"boundary point interpolation" methods  and so forth .