Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches [PDF]
Combinations of the meshless local Petrov-Galerkin (MLPG) method with finite element (FE) and boundary element (BE) methods are proposed for elasticity boundary value problems with the aim to improve the solution efficiency. Special interface elements are needed along the border of MLPG and FE (or BE) regions in order to satisfy the displacement ...
Gu, YuanTong, Liu, Gui-Rong
semanticscholar +6 more sources
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Hosseini, Seyed Mahmoud +2 more
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A comparative analysis of meshless based simulation optimization models with metaheuristic algorithms for groundwater remediation [PDF]
A robust Simulation–Optimization (SO) framework is proposed for the cost-effective design of groundwater remediation schemes in contaminated aquifers.
Sanjukta Das, T. I. Eldho
doaj +2 more sources
Meshless Local Petrov-Galerkin (MLPG) Method for Convection-Diffusion Problems
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 multi-dimensional cases) in the MLPG method, in order to deal with convection-dominated flows. In this paper, several upwinding schemes are proposed, and applied to solve steady convection-diffusion
H. Lin, S.N. Atluri
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Meshless Local Petrov-Galerkin (MLPG) Mixed Collocation Method For Elasticity Problems
The Meshless Local Petrov-Galerkin (MLPG) mixed collocation method is proposed in this paper, for solving elasticity problems. In the present MLPG approach, the mixed scheme is applied to interpolate the displacements and stresses independently, as in the MLPG finite volume method.
Atluri, S. N., Liu, H. T., Han, Z. D.
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Meshless Local Petrov-Galerkin (MLPG) Mixed Finite Difference Method for Solid Mechanics
The Finite Difference Method (FDM), within the framework of the Meshless Local Petrov-Galerkin (MLPG) approach, is proposed in this paper for solving solid mechanics problems. A "mixed'' interpolation scheme is adopted in the present implementation: the displacements, displacement gradients, and stresses are interpolated independently using identical ...
Atluri, S. N., Liu, H. T., Han, Z. D.
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A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gu, Y.T., Liu, G.R.
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The Meshless Local Petrov-Galerkin (MLPG) Method for Solving Incompressible Navier-Stokes Equations
The truly Meshless Local Petrov-Galerkin (MLPG) method is extended to solve the incompressible Navier-Stokes equations. The local weak form is modified in a very careful way so as to ovecome the so-called Babus~ka-Brezzi conditions. In addition, The upwinding scheme as developed in Lin and Atluri (2000a) and Lin and Atluri (2000b) is used to stabilize ...
H. Lin, S.N. Atluri
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Meshless Local Petrov-Galerkin (MLPG) Method for Shear Deformable Shells Analysis
A meshless local Petrov-Galerkin (MLPG) method is applied to solve bending problems of shear deformable shallow shells described by the Reissner theory. Both static and dynamic loads are considered. For transient elastodynamic case the Laplace-transform is used to eliminate the time dependence of the field variables. A weak formulation with a unit test
J. Sladek +3 more
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Multiscale Simulation Based on The Meshless Local Petrov-Galerkin (MLPG) Method
A multiscale simulation technique based on the MLPG methods, and finite deformation mechanics, is developed, implemented, and tested. Several alternate time-dependent interfacial conditions, between the atomistic and continuum regions, are systematically studied, for the seamless multiscale simulation, by decomposing the displacement of atoms in the ...
gping Shen, S. N. Atluri
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