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An Efficient Hybrid Implementation of MLPG Method
Journal of Multiscale Modelling, 2017The computational implementation of moving least squares (MLS) shape functions is an important step to consider in some versions of the meshless local Petrov–Galerkin (MLPG) method for a variety of two-dimensional engineering problems. Here, the usage of conventional Gaussian quadrature in the MLPG may require an excessive number integration points to
M. Barbosa +3 more
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GMRES Solver for MLPG Method Applied to Heat Conduction
Volume 11: Heat Transfer and Thermal Engineering, 2020Abstract In recent years, meshless local Petrov-Galerkin (MLPG) method has emerged as the promising choice for solving variety of scientific and engineering problems. MLPG formulation leads to a non-symmetric system of algebraic equations.
Abhishek Kumar Singh, Krishna Singh
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Nonlinear heat transfer analysis of spines using MLPG method
Engineering Analysis with Boundary Elements, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The MLPG Method in Multiphysics and Scale Dependent Problems
2021Two multiphysical and scale dependent problems in flexoelectricity and thermoelectricity are analysed by the meshless Petrov-Galerkin (MLPG) method. The size-effect is considered in constitutive equations by the strain- and electric field-gradients in the flexoelectricity.
Jan Sladek +2 more
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MLPG method for convection-dominated flow problems
Progress in Computational Fluid Dynamics, An International Journal, 2012In this paper, the Meshless Local Petrov-Galerkin (MLPG) method is applied to compute convection-dominated flow problems. The results of the MLPG method are compared with the results of the finite volume method. The results show that the first-order upwind (FUD) scheme exhibits the false diffusion at a larger-Peclet number; the QUICK scheme and the ...
Xue Hong Wu +4 more
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Stabilised MLS in MLPG method for heat conduction problem
Engineering Computations, 2019Purpose The purpose of this paper is to assess the performance of the stabilised moving least squares (MLS) scheme in the meshless local Petrov–Galerkin (MLPG) method for heat conduction method. Design/methodology/approach In the current work, the authors extend the stabilised MLS approach to the MLPG method for heat conduction problem.
Rituraj Singh, Krishna Mohan Singh
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A moving Kriging‐based MLPG method for nonlinear Klein–Gordon equation
Mathematical Methods in the Applied Sciences, 2016In this paper, the meshless local Petrov–Galerkin approximation is proposed to solve the 2‐D nonlinear Klein–Gordon equation. We used the moving Kriging interpolation instead of the MLS approximation to construct the meshless local Petrov–Galerkin shape functions. These shape functions possess the Kronecker delta function property.
Ali Shokri, Ali Habibirad
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Analysis of errors in MLPG methods
AIP Conference Proceedings, 2012The locality of meshless methods for the numerical solution of partial differential equations is achieved by the moving least squares (MLS) approximation. We analyzed experimentally the errors in the MLS approximation and in the meshless local Petrov-Galerkin (MLPG) solution method and confirmed that there is only a short interval of MLS support radii ...
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Numerical solution of EFIE using MLPG methods
Engineering Analysis with Boundary Elements, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analysis of electrostatic MEMS using meshless local Petrov–Galerkin (MLPG) method
Engineering Analysis with Boundary Elements, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Batra, Romesh C. +2 more
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