[PDF][PDF] Applications of the MLPG method in engineering & sciences: a review

J Sladek, P Stanak, ZD Han, V Sladek… - … Computer Modeling in …, 2013 - cdn.techscience.cn
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 …

Overview–Parallel Computing: Numerics, Applications, and Trends

M Vajteršic, P Zinterhof, R Trobec - Parallel Computing: Numerics …, 2009 - Springer
This book is intended for researchers and practitioners as a foundation for modern parallel
computing with several of its important parallel applications, and also for students as a basic …

A local numerical solution of a fluid-flow problem on an irregular domain

G Kosec - Advances in engineering software, 2018 - Elsevier
This paper deals with a numerical solution of an incompressible Navier-Stokes flow on non-
uniform domains. The numerical solution procedure comprises the Meshless Local Strong …

Simulation of macrosegregation with mesosegregates in binary metallic casts by a meshless method

G Kosec, B Šarler - Engineering analysis with boundary elements, 2014 - Elsevier
Simulation of macrosegregation with mesosegregates as a consequence of solidification of
a binary Sn–10% Pb alloy in a 2-dimensional rectangular cast is tackled in the present …

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 …

Solution of a low Prandtl number natural convection benchmark by a local meshless method

G Kosec, B Šarler - International journal of numerical methods for heat …, 2013 - emerald.com
The purpose of this paper is to present the solution of a highly nonlinear fluid dynamics in a
low Prandtl number regime, typical for metal‐like materials, as defined in the call for …

Comparison of local weak and strong form meshless methods for 2-D diffusion equation

R Trobec, G Kosec, M Šterk, B Šarler - Engineering analysis with boundary …, 2012 - Elsevier
A comparison between weak form meshless local Petrov–Galerkin method (MLPG) and
strong form meshless diffuse approximate method (DAM) is performed for the diffusion …

Meshless local Petrov-Galerkin method for nonlinear heat conduction problems

H Thakur, KM Singh, PK Sahoo - Numerical Heat Transfer, Part B …, 2010 - Taylor & Francis
The meshless local Petrov-Galerkin (MLPG) method is an effective meshless method to
solve partial differential equations. In this article, the MLPG method is used to solve …

Computational complexity and parallelization of the meshless local Petrov–Galerkin method

R Trobec, M Šterk, B Robič - Computers & Structures, 2009 - Elsevier
The computational complexity of the meshless local Petrov–Galerkin method (MLPG) has
been analyzed and compared with the finite difference (FDM) and finite element methods …

Phase change problems using the MLPG method

H Thakur, KM Singh, PK Sahoo - Numerical Heat Transfer, Part A …, 2011 - Taylor & Francis
This article discusses the application of the MLPG method to phase change problems.
Phase change problems belong to a nonlinear class of problem due to a continuously …