Bernstein polynomials in element-free Galerkin method [PDF]
, 2011 In the recent decades, meshless methods (MMs), like the element-free Galerkin method (EFGM), have been widely studied and interesting results have been reached when solving partial differential equations.
Garijo Verdejo, Daniel +3 more
core +2 more sources
, 2008 Se reporta el uso de segmentos como dominio de integración para los métodos libres de mallas de tipo Petrov-Galerkin Local (MLPG). El procedimiento acarrea ventajas en el tratamiento de dominios con forma geométrica irregular, circunda el problema de la ...
Perez Sanchez, Ismay +2 more
core
Static and vibration analysis of functionally graded beams using refined shear deformation theory [PDF]
, 2013 Static and vibration analysis of functionally graded beams using refined shear deformation theory is presented. The developed theory, which does not require shear correction factor, accounts for shear deformation effect and coupling coming from the ...
A Chakraborty +30 more
core +2 more sources
A new meshless interpolation scheme for MLPG_R method [PDF]
, 2008 In the MLPG{\_}R (Meshless Local Petrove-Galerkin based on Rankine source solution) method, one needs a meshless interpolation scheme for an unknown function to discretise the governing equation.
Ma, Q.
core
A variationally consistent Streamline Upwind Petrov–Galerkin Smooth Particle Hydrodynamics algorithm for large strain solid dynamics [PDF]
, 2017 This paper presents a new Smooth Particle Hydrodynamics (SPH) computational framework for explicit fast solid dynamics. The proposed methodology explores the use of the Streamline Upwind Petrov–Galerkin (SUPG) stabilisation methodology as an alternative ...
Bonet, Javier +4 more
core +4 more sources
Meshless local Petrov-Galerkin method with complex variables for elasticity
Acta Physica Sinica, 2012 In this paper, the shape functions are obtained by the moving least-squares method with complex variable (MLSCV). The advantages of MLSCV are that the approximation function of a two-dimensional (2D) problem is formed with one-dimensional (1D) basis function, and the number of the undetermined coefficients is reduced, so it effectively improves the ...
null Yang Xiu-Li +2 more
openaire +1 more source
A first order system least squares method for the Helmholtz equation [PDF]
, 2015 We present a first order system least squares (FOSLS) method for the Helmholtz equation at high wave number k, which always deduces Hermitian positive definite algebraic system.
Chen, Huangxin, Qiu, Weifeng
core
A MLPG Meshless Method for Numerical Simulation of Unsteady Incompressible Flows
Journal of Applied Fluid Mechanics, 2017 This article presents a numerical algorithm using the Meshless Local PetrovGalerkin (MLPG) method for numerical simulation of unsteady incompressible flows, governed by the Navier–Stokes equations via the stream function–vorticity (ψ–ω) formulation.
Iraj Saeedpanah
doaj
The Implementation of Meshless Local Petrov Galerkin (MLPG) Method for Determine Pollutant Sources in Brantas River [PDF]
, 2014 Pollution in the river often occur and can be threaten for aquatic organisms and humans. Polluted river has negative impacts for people around of the Brantas River.
Basuki, Widodo, Miranda, Eliyan
core
Meshless Local Petrov-Galerkin Method– Steady, Non-Isothermal Fluid Flow Applications
International Journal of Industrial Engineering and Production Research, 2007 : The meshless local Petrov-Galerkin method with unity as the weighting function has been applied to the solution of the Navier-Stokes and energy equations.
A. Arefmanesh, M. Najafi, H. Abdi
doaj