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Characterizing soil properties by the meshless local Petrov-Galerkin method
Geotechnical and Geological Engineering, 2007This study presents a preliminary development of a direct back analysis procedure by the meshless local Petrov-Galerkin (MLPG) method and its application to characterize soil properties using in-situ test results. As compared to a direct back analysis based on the finite element method (FEM), it is intended to show that doing a direct back analysis by ...
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A MESHLESS LOCAL PETROV–GALERKIN METHOD FOR ELASTO-PLASTIC PROBLEMS
2007A meshless local Petrov-Galerkin method (MLPG) is presented for solving the elasto-plasticityprobleminthepaper.Itisatrulymeshlessmethodusingthemov- ing least square (MLS) approximation as a trial function and the MLS weighted function as a test function in the weighted residual method. The incremental tangent stiffness method is applied in computation.
Y.B. Xiong, S.Y. Long, K.Y. Liu, G.Y. Li
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A simple and efficient local Petrov-Galerkin meshless method and its application
International Journal of Applied Electromagnetics and Mechanics, 2014In the MLPG method of this paper, only the boundary integrations over local subdomains is involved, which make the MLPG method is very easy to carry out because the local sub-domains are chosen in MLPG method as simple circular or rectangular ranges. In order to simplify the MLPG method, the radius of local sub-domains has been adjusted for the nodes ...
Liu, Zehui +4 more
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Application of the Meshless Local Petrov-Galerkin Method for Subsoil Settlement Analysis
Advanced Materials Research, 2014The paper deals with use of the meshless method for soil stress-deformation analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) local weak formulation of the equilibrium equations. The main difference between meshless methods and the conventional finite element method (FEM)
Juraj Mužík, Dana Sitányiová
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Meshless Local Petrov-Galerkin Method for Heat Transfer Analysis
Volume 8A: Heat Transfer and Thermal Engineering, 2013A meshless local Petrov-Galerkin (MLPG) method is proposed to obtain the numerical solution of nonlinear heat transfer problems. The moving least squares scheme is generalized, to construct the field variable and its derivative continuously over the entire domain. The essential boundary conditions are enforced by the direct scheme.
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Radial Basis Meshless Local Petrov-Galerkin Method for Thick Beams
45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference, 2004*† An MLPG method that uses radial basis functions (RBF) in the study of thick beams governed by the Timoshenko beam theory is presented. The weak form of the governing differential equations is derived such that the locking phenomenon observed in the finite element method is avoided.
I Raju, D Phillips
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Global-local Petrov-Galerkin formulations in the Meshless Finite Difference Method
2010The paper presents the recent developments in both the Local Petrov- Galerkin (LPG) formulations of the boundary value problems of mechanics, and the Meshless Finite Difference Method MFDM of numerical analysis. The MLPG formulations use the well-known concept of the Petrov-Galerkin weak approach, where the test function may be different from the trial
Slawomir Milewski, Janusz Orkisz
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Meshless Local Petrov-Galerkin Method for Solving Radiative Transfer Equation
Journal of Thermophysics and Heat Transfer, 2006Ā = matrix defined in Eq. (7) a = Coefficients for the moving least-squares (MLS) approximation in Eq. (4) a = vector of coefficient a B = matrix defined in Eq. (8) C j = expansion coefficient of scattering phase function f = coefficients in linear equations g = quartic spline function defined in Eq.
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