Results 181 to 190 of about 878 (203)

A localized RBF-MLPG method and its application to elliptic PDEs

Engineering With Computers, 2019
The existing local RBF methods use the strong form equation and approximate the solution in local subdomains instead of the whole domain. In the RBF-MLPG method, the unknown solution is approximated by RBFs in the whole domain and testing is done by constructing the weak-form equations over the local subdomains.
Ahmad Shirzadi, Fariba Takhtabnoos, Mansour Safarpoor   +2 more
exaly   +2 more sources

Numerical Simulation for Dynamic Crack Propagation by MLPG

Key Engineering Materials, 2006
In this paper, a new algorithm based on Meshless Local Petrov-Galerking (MLPG) method is presented for analyzing the crack dynamic propagation. A new modified Moving Least Squares approximation is proposed to simplify the treatment of essential boundary conditions.
Ying Liu, Ling Tian Gao
openaire   +1 more source

Meshless local Petrov‐Galerkin (MLPG) methods in quantum mechanics

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2011
PurposeThe purpose of this paper is to solve both eigenvalue and boundary value problems coming from the field of quantum mechanics through the application of meshless methods, particularly the one known as meshless local Petrov‐Galerkin (MLPG).Design/methodology/approachRegarding eigenvalue problems, the authors show how to apply MLPG to the time ...
Nicomedes, Williams L., Mesquita, Renato C., Moreira, Fernando J. S.   +2 more
openaire   +2 more sources

Efficient cubature formulae for MLPG and related methods

International Journal for Numerical Methods in Engineering, 2005
AbstractThe paper introduces four kinds of compact, simple to implement Gaussian cubature formulae for approximating the domain integrals arising in the discrete local weak form (DLWF) of a governing partial differential equation solved by means of the meshless local Petrov–Galerkin method of type MLPG1.
openaire   +1 more source

Coupled BEM–MLPG acoustic analysis for non-homogeneous media

Engineering Analysis with Boundary Elements, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tadeu, A., Stanak, P., Sladek, J., Sladek, V.   +3 more
openaire   +1 more source

Numerical solution of EFIE using MLPG methods

Engineering Analysis with Boundary Elements, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On an efficient MLPG formulation for shell analysis

2010
A meshless formulation based on the local Petrov- Galerkin approach is developed for analysis of shell structures. A 3-D solid concept usually used in the finite element formulations is adopted, and the exact shell geometry may be described. The shell continuum is discretized in the parametric space defined in the normalized coordinates by the nodes ...
Sorić, Jurica, Jarak, Tomislav
openaire   +1 more source

Improved MLPG Method for Potential Flow Problem

Lecture Notes in Mechanical Engineering
Rituraj Singh, Roman Trobec
exaly   +2 more sources

A study of nonlinear systems arising in the physics of liquid crystals, using MLPG and DMLPG methods

Mathematics and Computers in Simulation, 2021
Ali Shokri
exaly  

On the numerical behavior of the MLPG mixed approach in structural analysis

2012
Although the mixed Meshless Local Petrov-Galerkin (MLPG) methods do not have to satisfy Ladyzhenskaja-Babuška-Brezzi (LBB) conditions to achieve stability, spurious oscillations in displacement and strain fields have sometimes been observed. In order to reveal the causes of such behavior, mixed formulations for 2-D linear elasticity will be considered ...
Jarak, Tomislav, Sorić, Jurica
openaire   +1 more source