RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection–diffusion-reaction equation

J Li, X Feng, Y He - Engineering Analysis with Boundary Elements, 2019 - Elsevier
In this paper, the meshless local Petrov Galerkin (MLPG) method is employed to analyze
convection–diffusion-reaction equation based on radial basis function (RBF) collocation …

Two-level meshless local Petrov Galerkin method for multi-dimensional nonlinear convection–diffusion equation based on radial basis function

J Li, J Zhao, L Qian, X Feng - Numerical Heat Transfer, Part B …, 2018 - Taylor & Francis
In this article, a two-level meshless local Petrov Galerkin method (MLPG) is proposed to
analyze nonlinear convection–diffusion equation based on the radial basis function (RBF) …

Meshless local Petrov Galerkin method for 2D/3D nonlinear convection–diffusion equations based on LS-RBF-PUM

J Li, Y Qiao, S Zhai, X Feng - Numerical Heat Transfer, Part B …, 2018 - Taylor & Francis
In this article, we propose a meshless local Petrov Galerkin (MLPG) method based on least
square radial basis function partition of unity method (LS-RBF-PUM), which is applied to the …

Numerical solution of transient heat conduction problems using improved meshless local Petrov–Galerkin method

B Dai, B Zheng, Q Liang, L Wang - Applied Mathematics and Computation, 2013 - Elsevier
An improved meshless local Petrov–Galerkin (MLPG) method is presented and applied to
calculate the two-dimensional unsteady state heat conduction problems. In this method, the …

Interpolating meshless local Petrov-Galerkin method for steady state heat conduction problem

R Singh, KM Singh - Engineering Analysis with Boundary Elements, 2019 - Elsevier
In many meshfree methods, moving least squares scheme (MLS) has been used to generate
meshfree shape functions. Imposition of Dirichlet boundary conditions is difficult task in …

A meshless method for two-dimensional diffusion equation with an integral condition

S Abbasbandy, A Shirzadi - Engineering analysis with boundary elements, 2010 - Elsevier
This paper presents a new approach based on the meshless local Petrov–Galerkin (MLPG)
and collocation methods to treat the parabolic partial differential equations with non …

Solving natural convection heat transfer in turbulent flow by extending the meshless local Petrov–Galerkin method

N Sheikhi, M Najafi, V Enjilela - Engineering Analysis with Boundary …, 2018 - Elsevier
This study extends the conventional meshless local Petrov–Galerkin method to enable the
meshless technique to solve natural convection heat transfer in turbulent regimes. To do so …

Meshless local Petrov-Galerkin method for 3D steady-state heat conduction problems

MJ Mahmoodabadi… - Advances in …, 2011 - journals.sagepub.com
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 …

An analysis of the convection–diffusion problems using meshless and meshbased methods

XH Wu, ZJ Chang, YL Lu, WQ Tao, SP Shen - Engineering Analysis with …, 2012 - Elsevier
The numerical solution of the convection–diffusion equation represents a very important
issue in many numerical methods that need some artificial methods to obtain stable and …

[PDF][PDF] Meshless local Petrov-Galerkin(MLPG) method for convection diffusion problems

H Lin, SN Atluri - CMES(Computer Modelling in Engineering & Sciences …, 2000 - Citeseer
Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is
very easy and natural to introduce the upwinding concept (even in multidimensional cases) …