Results 141 to 150 of about 2,654 (171)

A critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods

Computational Mechanics, 1999
The essential features of the Meshless Local Petrov-Galerkin (MLPG) method, and of the Local Boundary Integral Equation (LBIE) method, are critically examined from the points of view of a non-element interpolation of the field variables, and of the meshless numerical integration of the weak form to generate the stiffness matrix.
Atluri, S. N., Kim, H.-G., Cho, J. Y.
openaire   +3 more sources

A direct coupling method of meshless local petrov-galerkin (MLPG) and finite element method (FEM)

International Journal of Applied Electromagnetics and Mechanics, 2016
A direct coupling method is developed for coupling meshless methods such as the MLPG and FEM. The radial point interpolation method with polynomial terms (RPIMp) which lead to a shape function that indeed obeys the Kronecker delta property are used to approximate the trial functions in the MLPG.
Liu, Zehui, Lu, Ming, Li, Qing, Lv, Zhongbin, Chang, Afei, Pang, Kai, Zhao, Shujie   +6 more
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A simple and less-costly meshless local Petrov-Galerkin (MLPG) method for the dynamic fracture problem

Engineering Analysis with Boundary Elements, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Kaiyuan, Long, Shuyao, Li, Guangyao
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A two-level variational multiscale meshless local Petrov-Galerkin (VMS-MLPG) method for incompressible Navier-Stokes equations

Numerical Heat Transfer, Part B: Fundamentals, 2020
A two-level variational multiscale meshless local Petrov-Galerkin (VMS-MLPG) method is presented for incompressible Navier-Stokes equations based on two local Gauss integrations which effectively r...
Zheng-Ji Chen, Zeng-Yao Li, Wen-Quan Tao
openaire   +2 more sources

Three dimensional static and dynamic analysis of thick functionally graded plates by the meshless local Petrov–Galerkin (MLPG) method

Engineering Analysis With Boundary Elements, 2011
A. R. Mojdehi, A. Darvizeh, A. Basti, H. Rajabi   +3 more
semanticscholar   +3 more sources

Two dimensional transient analysis of coupled non-Fick diffusion–thermoelasticity based on Green–Naghdi theory using the meshless local Petrov–Galerkin (MLPG) method

International Journal of Mechanical Sciences, 2014
S. Hosseini, J. Sládek, V. Sládek
semanticscholar   +3 more sources

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
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Analysis of rubber‐like materials using meshless local Petrov–Galerkin (MLPG) method

Communications in Numerical Methods in Engineering, 2007
AbstractLarge deformations of rubber‐like materials are analyzed by the meshless local Petrov–Galerkin (MLPG) method. The method does not require shadow elements or a background mesh and therefore avoids mesh distortion difficulties in large deformation problems.
Batra, R. C., Porfiri, M.
openaire   +2 more sources

Mixed meshless local Petrov–Galerkin (MLPG) collocation methods for gradient elasticity theories of Helmholtz type

Computational Mechanics, 2020
Two mixed meshless collocation methods for solving problems by considering a linear gradient elasticity theory of the Helmholtz type are proposed. The solution process is facilitated by employing operator-split procedures, splitting the original 4th-order problem into two uncoupled second-order sub- problems, which are then solved in a staggered manner
Jalušić, Boris, Jarak, Tomislav, Sorić, Jurica   +2 more
openaire   +1 more source

Application of the Meshless Local Petrov-Galerkin (MLPG) method to Rayleigh-Taylor instability

AIP Conference Proceedings, 2012
To improve solutions for applications with complex boundary conditions and multimaterial/ multi-physics aspects, we apply a meshless method that alleviates the burden of grid generation and manipulation. We applied the Meshless Local Petrov-Galerkin (MLPG) method to demonstrate the advantages of using meshless numerical methods for multi-material ...
Bryan Susi, Beth Smith
openaire   +1 more source